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1526 questions

Question 1321Question

During a financial year, Zenith Manufacturing Company recorded a total cost of production of N480,000\text{N}480,000. The company transfers finished goods to the trading account at market value, which reflects a mark-up of 25%25\% on the cost of production. What is the amount of manufacturing profit in Naira to be credited to the Profit and Loss Account for the year?

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Answer: 120000

Answer

The manufacturing profit credited to the Profit and Loss Account is N120,000.
Manufacturing profit is calculated by applying the profit mark-up percentage to the cost of production: 25% of N480,000 = N120,000.

Step-by-Step Solution

1
Identify the total cost of production
Cost of production = N480,000
This serves as the baseline cost before applying the manufacturing profit mark-up.
2
Apply the 25% mark-up rate to calculate manufacturing profit
Manufacturing Profit = 25% × N480,000 = N120,000
Finished goods are transferred at market value, and the mark-up added to the cost of production represents the manufacturing profit.

Key Concept

Manufacturing profit is the mark-up added to the cost of production when transferring finished goods to the trading account at market value.
Question 1322Question

As at 1st January 2025, Crestwood Marine Plc had an issued share capital of 800,000 Ordinary Shares of ₦1.00 each fully paid, and a Share Premium Account balance of ₦220,000. During the year, the directors declared a 1-for-5 bonus issue of ordinary shares using the Share Premium account. Subsequently, the company wrote off preliminary expenses of ₦25,000 and share issue costs of ₦15,000 against the remaining Share Premium balance as legally permitted. Calculate the remaining balance in the Share Premium Account in Naira (₦) at the end of the year.

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Answer: 20000

Answer

The remaining balance in the Share Premium Account is ₦20,000.
The Share Premium account initially had ₦220,000. Issuing 160,000 bonus shares (800,000 ÷ 5) at ₦1.00 nominal value absorbs ₦160,000 of the reserve, reducing it to ₦60,000. Statutory regulations allow companies to write off preliminary formation expenses (₦25,000) and share issue costs (₦15,000) against Share Premium, leaving a net final balance of ₦20,000 (₦60,000 - ₦40,000).

Step-by-Step Solution

1
Calculate the total nominal value of the bonus share issue.
₦160,000
A 1-for-5 bonus issue on 800,000 shares yields 160,000 new shares at ₦1.00 nominal value each.
2
Determine the Share Premium balance after funding the bonus issue.
₦60,000
Utilizing ₦160,000 from the initial ₦220,000 Share Premium leaves an intermediate balance of ₦60,000.
3
Deduct statutory write-offs for preliminary expenses and share issue expenses.
₦20,000
Under statutory company laws, writing off preliminary formation expenses (₦25,000) and share issuance costs (₦15,000) directly against the Share Premium account is permitted, leaving ₦60,000 - ₦40,000 = ₦20,000.

Key Concept

Statutory utilization of Share Premium account for bonus issues and expense write-offs
Question 1323Question

A administrative district in West Africa covers a total land area of 50,000 km250,000\text{ km}^2, of which 35%35\% is classified as arable land suitable for farming. The district has a total population of 7,000,0007,000,000 inhabitants, and farmers with their immediate dependents (the agricultural population) make up 60%60\% of this total. What is the agricultural population density of this district in persons per km2\text{km}^2 of arable land?

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Answer: 240

Answer

The agricultural population density of the district is 240 persons/km2240\text{ persons/km}^2.
Agricultural population density measures the number of farmers per unit of arable land. First, calculate arable land area (50,000×0.35=17,500 km250,000 \times 0.35 = 17,500\text{ km}^2). Next, find the agricultural population (7,000,000×0.60=4,200,0007,000,000 \times 0.60 = 4,200,000). Dividing 4,200,0004,200,000 by 17,50017,500 yields 240 persons/km2240\text{ persons/km}^2.

Step-by-Step Solution

1
Determine the total arable land area in km2\text{km}^2.
Arable land area = 50,000×0.35=17,500 km250,000 \times 0.35 = 17,500\text{ km}^2.
Agricultural population density evaluates population relative specifically to cultivated or arable land, not total land surface.
2
Calculate the total agricultural population.
Agricultural population = 7,000,000×0.60=4,200,000 persons7,000,000 \times 0.60 = 4,200,000\text{ persons}.
Agricultural density isolates the farming population rather than using total population.
3
Compute agricultural population density by dividing agricultural population by arable land area.
4,200,00017,500=240 persons/km2\frac{4,200,000}{17,500} = 240\text{ persons/km}^2.
Agricultural density formula = Agricultural PopulationArable Land Area\frac{\text{Agricultural Population}}{\text{Arable Land Area}}.

Key Concept

Distinction between arithmetic density, physiological density, and agricultural density
Question 1324Question

Town P is located at longitude 60E60^\circ\text{E}, where the local solar time is 12:00 noon12:00\text{ noon}. Town Q is located at longitude 15W15^\circ\text{W}. What is the local solar time at Town Q, expressed as the hour of the day in 24-hour time?

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Answer: 7

Answer

The local solar time at Town Q is 7:00 (represented by the number 7).
To find the local time at Town Q (15W15^\circ\text{W}) relative to Town P (60E60^\circ\text{E} at 12:00 noon12:00\text{ noon}), calculate the longitudinal distance: 60+15=7560^\circ + 15^\circ = 75^\circ. Dividing by 1515^\circ per hour gives a time difference of 5 hours5\text{ hours}. Because Town Q is west of Town P, subtract 5 hours from 12:00 to obtain 7:00 (77).

Step-by-Step Solution

1
Calculate the longitudinal difference between Town P and Town Q.
Total angular separation = 60E+15W=7560^\circ\text{E} + 15^\circ\text{W} = 75^\circ.
Locations in opposite hemispheres (East and West) require adding their longitude values to determine total angular distance.
2
Convert the angular distance into hours.
Time difference = 75÷15/hour=5 hours75^\circ \div 15^\circ/\text{hour} = 5\text{ hours}.
Earth rotates 360360^\circ in 24 hours, which corresponds to 1515^\circ per hour.
3
Adjust time based on relative position.
Local time at Town Q = 12:005 hours=7:0012:00 - 5\text{ hours} = 7:00 (77).
Town Q lies to the west of Town P, so its local time is behind that of Town P.

Key Concept

Calculating local solar time across different longitudes in opposite hemispheres.
Question 1325Question

Kola, a sole trader, recorded total purchases of 2,450,000₦2,450,000 for the financial year ended 31 December 2025. During the year, Kola took goods costing 65,000₦65,000 (with a retail selling price of 85,000₦85,000) from the business for personal family use. If no adjustment has been made for the withdrawn goods, what is the adjusted purchases figure (in ) to be reported in the Trading Account?

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Answer: 2385000

Answer

The adjusted purchases figure to be reported in the Trading Account is ₦2,385,000.
When a sole trader withdraws goods for personal use, the double entry requires debiting Drawings Account and crediting Purchases Account at cost price (65,000₦65,000). The adjusted purchases figure included in the Trading Account is calculated by subtracting the cost of withdrawn goods from unadjusted purchases (2,450,00065,000=2,385,000₦2,450,000 - ₦65,000 = ₦2,385,000).

Step-by-Step Solution

1
Identify the appropriate valuation for goods withdrawn by the owner.
The cost price of 65,000₦65,000 must be used, not the selling price of 85,000₦85,000.
A business entity does not realize profit on goods consumed by its owner; therefore, withdrawals are measured strictly at cost.
2
Calculate the adjusted purchases figure for the Trading Account.
2,450,00065,000=2,385,000₦2,450,000 - ₦65,000 = ₦2,385,000.
Deducting goods withdrawn from total purchases ensures that cost of sales reflects only goods available for sale to external customers.

Key Concept

Adjustment of purchases for goods withdrawn by owner at cost price
Question 1326Question

Efe, Funke, and Garba are partners sharing profits and losses in the ratio 3:2:13:2:1 respectively. On December 31, 2025, Garba dies. At the date of death, the accounting records reveal the following balances:

- Garba's Capital Account (credit): 120,000\text{₦}120,000
- Garba's Current Account (credit): 15,000\text{₦}15,000
- Total firm Goodwill valuation: 90,000\text{₦}90,000
- Total net profit on asset revaluation: 30,000\text{₦}30,000
- Accrued interest on capital due to Garba: 6,000\text{₦}6,000
- Garba's total drawings to date of death: 10,000\text{₦}10,000

What is the net amount (in \text{₦}) payable to Garba's executor account?

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Answer: 151000

Answer

The net amount payable to Garba's executor account is ₦151,000.
The deceased partner's executor account is credited with the partner's capital balance (₦120,000), current account credit balance (₦15,000), share of goodwill (1/6 of ₦90,000 = ₦15,000), share of revaluation profit (1/6 of ₦30,000 = ₦5,000), and interest on capital (₦6,000), giving a total gross entitlement of ₦161,000. Deducting the drawings of ₦10,000 results in a net final payable amount of ₦151,000.

Step-by-Step Solution

1
Determine Garba's profit-sharing fraction
Garba's share = 1 / (3 + 2 + 1) = 1/6
Garba's profit-sharing ratio is 1 part out of 6 total parts.
2
Calculate Garba's share of firm goodwill and revaluation profit
Goodwill share = 1/6 × ₦90,000 = ₦15,000; Revaluation profit share = 1/6 × ₦30,000 = ₦5,000
Goodwill and revaluation profit belong to all partners according to their profit-sharing ratios.
3
Calculate total credit entitlements due to Garba
Total Credits = ₦120,000 + ₦15,000 + ₦15,000 + ₦5,000 + ₦6,000 = ₦161,000
Capital balance, current account credit balance, goodwill share, revaluation profit share, and interest on capital increase the deceased partner's account balance.
4
Deduct drawings to find the final net executor settlement
Net Settlement = ₦161,000 - ₦10,000 = ₦151,000
Drawings reduce the amount payable to the deceased partner's legal representatives.

Key Concept

Deceased Partner Capital Account Settlement
Question 1327Question

On a topographical map drawn to a Representative Fraction (RF) scale of 1:100,0001 : 100,000, the measured distance between a railway station and a local airstrip is 7.5 cm7.5\text{ cm}. What is the actual ground distance between the two locations in kilometers?

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Answer: 7.5

Answer

The actual ground distance between the railway station and the airstrip is 7.5 km7.5\text{ km}.
Given an RF scale of 1:100,0001 : 100,000, every 1 cm1\text{ cm} on the map corresponds to 100,000 cm100,000\text{ cm} on the ground, which equals 1 km1\text{ km}. Multiplying the measured map length of 7.5 cm7.5\text{ cm} by 1 km1\text{ km} per centimeter gives an actual ground distance of 7.5 km7.5\text{ km}.

Step-by-Step Solution

1
Interpret the Representative Fraction (RF) scale.
An RF scale of 1:100,0001 : 100,000 means 1 cm1\text{ cm} on the map represents 100,000 cm100,000\text{ cm} on the ground.
RF scale expresses map distance to ground distance in identical units.
2
Convert the ground distance scale unit from centimeters to kilometers.
100,000 cm=100,000100,000 km=1 km100,000\text{ cm} = \frac{100,000}{100,000}\text{ km} = 1\text{ km}.
There are 100,000 cm100,000\text{ cm} in 1 km1\text{ km} (100 cm/m×1,000 m/km100\text{ cm/m} \times 1,000\text{ m/km}).
3
Calculate the total actual ground distance.
\text{Ground Distance} = 7.5\text{ cm} \times 1\text{ km/cm} = 7.5\text{ km}$.
Multiplying the map length by the real-world distance represented per unit length determines the true distance.

Key Concept

Map Scale Conversion and Ground Distance Calculation
Question 1328Question

A rectangular agricultural estate measuring 5 cm5\text{ cm} by 12 cm12\text{ cm} on a topographical map represents an actual ground area of 60 km260\text{ km}^2. If the map is enlarged such that the estate covers an area of 240 cm2240\text{ cm}^2 on the new map, what is the denominator of the Representative Fraction (RF) scale of the enlarged map?

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Answer: 50000

Answer

The denominator of the Representative Fraction (RF) scale of the enlarged map is 50000.
The original map area of 60 cm260\text{ cm}^2 representing 60 km260\text{ km}^2 gives a linear scale of 1 cm1\text{ cm} to 1 km1\text{ km}, which corresponds to an original RF scale of 1:100,0001 : 100,000. Enlarging the map area to 240 cm2240\text{ cm}^2 increases the area by a factor of 44. The linear enlargement factor is 4=2\sqrt{4} = 2. Enlarging a map by a linear factor of 22 halves the scale denominator, yielding a new Representative Fraction scale of 1:50,0001 : 50,000, with a denominator of 50,00050,000.

Step-by-Step Solution

1
Calculate the area of the estate on the original map.
Original Map Area = 5 cm×12 cm=60 cm25\text{ cm} \times 12\text{ cm} = 60\text{ cm}^2.
Establishes the initial representation of the estate on paper.
2
Determine the original map scale from the map area and ground area.
Area scale: 60 cm2=60 km2    1 cm2=1 km260\text{ cm}^2 = 60\text{ km}^2 \implies 1\text{ cm}^2 = 1\text{ km}^2. Linear scale: 1 cm=1 km=100,000 cm1\text{ cm} = 1\text{ km} = 100,000\text{ cm}. Original RF = 1:100,0001 : 100,000.
Finding the original scale denominator is necessary before applying the enlargement factor.
3
Calculate the area enlargement factor.
Area Enlargement Factor = 240 cm260 cm2=4\frac{240\text{ cm}^2}{60\text{ cm}^2} = 4.
Compares the new map area to the original map area.
4
Calculate the linear enlargement factor (kk).
Linear Enlargement Factor k=4=2k = \sqrt{4} = 2.
Linear scale changes as the square root of the area scale change.
5
Calculate the new RF scale denominator.
New RF denominator = 100,0002=50,000\frac{100,000}{2} = 50,000.
Enlarging a map linearly by a factor of 2 makes the scale 2 times larger, dividing the denominator by 2.

Key Concept

Map Enlargement and Linear vs Area Scale Conversion
Question 1329Question

A research station located at longitude 142E142^\circ\text{E} records a solar flare observation at 03:16 PM03:16\text{ PM} local solar time. At the exact same instant, an oceanographic vessel records the same solar flare at 07:48 AM07:48\text{ AM} local solar time on the same day. What is the longitude of the oceanographic vessel in degrees East?

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Answer: 30

Answer

The longitude of the oceanographic vessel is 30E30^\circ\text{E}.
The research station's local solar time is 15:16 and the oceanographic vessel's time is 07:48, giving a difference of 7 hours 28 minutes (448 minutes). Since 11^\circ of longitude corresponds to 4 minutes of time, the longitudinal difference is 448÷4=112448 \div 4 = 112^\circ. Because the vessel's local solar time is earlier than that of the research station, the vessel is located to the west of the research station (142E112=30E142^\circ\text{E} - 112^\circ = 30^\circ\text{E}).

Step-by-Step Solution

1
Convert both local solar times to 24-hour time format and subtract to determine the exact time difference
Research station time = 15:16, Vessel time = 07:48. Time difference = 7 hours 28 minutes (448 minutes).
Converting to 24-hour format simplifies direct subtraction to evaluate the total time delta between the two locations.
2
Convert the total time difference in minutes to angular longitudinal distance
448 minutes ÷ 4 minutes per degree = 112° difference in longitude.
Earth rotates 360° in 24 hours (1440 minutes), establishing a rate of 1° longitude change per 4 minutes of local time difference.
3
Evaluate direction of location and subtract angular distance from the station's longitude
Vessel time is behind station time, placing it west of the station: 142°E - 112° = 30°E.
Places located further west experience earlier local solar time. Subtracting 112° from 142°E yields 30°E.

Key Concept

Longitude and Time Calculations (converting solar time difference to longitudinal angular distance)
Question 1330Question

In a demographic survey of a municipality in Nigeria, the total population was recorded as 120000120{}000. The survey revealed that 42%42\% of the population is under 1515 years of age, and 6%6\% is aged 6565 years and above. Calculate the total dependency ratio of the municipality (expressed as a percentage rounded to one decimal place).

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Answer: 92.3

Answer

The total dependency ratio of the municipality is 92.3%.
The total dependency ratio expresses the number of dependents (youth under 15 and elderly 65 and over) relative to the working-age population (15 to 64). Here, dependents constitute 48% (42% + 6%) of the population, leaving 52% (100% - 48%) in the working-age cohort. Dividing the dependents by the working age group gives (48 / 52) × 100 = 92.3%.

Step-by-Step Solution

1
Calculate the dependent population percentage and working-age population percentage.
Dependent population percentage = 42% + 6% = 48%; Working-age population percentage = 100% - 48% = 52%.
Demographic dependents consist of youth under 15 years and elderly aged 65 years and above, while the active labor force consists of age groups between 15 and 64 years.
2
Substitute the cohort percentages into the standard dependency ratio formula.
Dependency Ratio = (48 / 52) × 100
The dependency ratio measures the economic burden carried by the productive segment of the population per 100 working-age individuals.
3
Compute the numerical value and round to one decimal place.
92.3%
Dividing 48 by 52 yields approximately 0.92307, which converts to 92.3%.

Key Concept

Dependency Ratio Calculation
Question 1331Question

During a five-year demographic survey period, a coastal region in Nigeria recorded an initial total population of 1,200,0001,200,000. Over this period, total live births were 150,000150,000 and total deaths recorded were 70,00070,000. At the end of the five years, a census established the total population at 1,340,0001,340,000. Assuming no other vital statistics apply, calculate the net migration (the net gain of in-migrants over out-migrants) experienced by the region over this period.

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Answer: 60000

Answer

The net migration for the region over the five-year period is 60,000 migrants.
According to the fundamental demographic balancing equation, total population change equals natural increase (births minus deaths) plus net migration. With an overall population growth of 140,000140,000 and a natural increase of 80,00080,000, the remaining gain of 60,00060,000 represents net inward migration.

Step-by-Step Solution

1
Calculate the total overall population growth (ΔP\Delta P)
ΔP=1,340,0001,200,000=140,000\Delta P = 1,340,000 - 1,200,000 = 140,000
Total change in population is the final census figure minus the initial base population.
2
Calculate the natural increase (NINI)
NI=BirthsDeaths=150,00070,000=80,000NI = \text{Births} - \text{Deaths} = 150,000 - 70,000 = 80,000
Natural increase measures population growth resulting purely from vital events (births and deaths).
3
Apply the demographic balancing equation to isolate Net Migration (NMNM)
NM=ΔPNI=140,00080,000=60,000NM = \Delta P - NI = 140,000 - 80,000 = 60,000
Any population growth beyond natural increase is attributed to net migration (in-migrants minus out-migrants).

Key Concept

Demographic Balancing Equation and Net Migration Calculation
Question 1332Question

A proposed high-voltage transmission line connecting a hydro-electric station to an urban sub-station measures 14.5 cm14.5\text{ cm} on a topographical map drawn to a scale of 1:50,0001 : 50,000. If the map undergoes a photographic reduction such that its total surface area becomes 14\frac{1}{4} of its original size, what is the actual ground distance, in kilometers, represented by a length of 5.8 cm5.8\text{ cm} measured on the newly reduced map?

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Answer: 5.8

Answer

The actual ground distance represented by 5.8 cm on the reduced map is 5.8 kilometers.
Reducing the surface area of a map to one-fourth reduces its linear dimensions to one-half, because linear scale factor equals the square root of the area scale factor. With linear dimensions halved, each centimeter on the new map represents twice as much ground distance as before, changing the scale from 1 : 50,000 to 1 : 100,000. At a scale of 1 : 100,000, 1 cm represents 1 km. Therefore, 5.8 cm on the reduced map corresponds to an actual ground distance of 5.8 km.

Step-by-Step Solution

1
Determine the linear scale factor from the area reduction ratio
Linear factor = \sqrt{\frac{1}{4}} = \frac{1}{2}
Map area varies as the square of the linear scale factor. Reducing area to one-fourth reduces linear dimensions by half.
2
Calculate the Representative Fraction (R.F.) of the reduced map
New R.F. = 1 : (50,000 \times 2) = 1 : 100,000
Reducing the physical dimensions of a map by half doubles the denominator of its scale ratio, making it a smaller scale map.
3
Convert the new R.F. scale to kilometers per centimeter
1\text{ cm} = 100,000\text{ cm} = 1.0\text{ km}
Dividing the scale denominator (100,000) by 100,000 converts centimeters to kilometers.
4
Compute the ground distance for a map length of 5.8 cm
5.8\text{ cm} \times 1.0\text{ km/cm} = 5.8\text{ km}
Multiplying map distance by the ground equivalence per centimeter yields actual distance.

Key Concept

Linear vs Area Scale Conversion and Ground Distance Calculation
Question 1333Question

Kano Logistics Plc has an authorized capital of 5,000,0005,000,000 ordinary shares of 0.50\text{₦}0.50 each. The company issued 3,000,0003,000,000 ordinary shares, with 0.40\text{₦}0.40 per share called up by the directors. If the total calls in arrears amount to 50,000\text{₦}50,000, what is the value of the paid-up share capital in Naira?

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Answer: 1150000

Answer

The paid-up share capital is ₦1,150,000.
To determine paid-up capital, first calculate called-up capital by multiplying the issued shares (3,000,000) by the called-up price per share (₦0.40), giving ₦1,200,000. Then subtract calls in arrears (₦50,000), which represents unpaid amounts requested from shareholders. This gives a final paid-up share capital of ₦1,150,000.

Step-by-Step Solution

1
Calculate the total called-up share capital
₦1,200,000
Called-up capital is determined by multiplying the number of issued shares (3,000,000) by the called-up amount per share (₦0.40).
2
Deduct calls in arrears from called-up capital to find paid-up capital
₦1,150,000
Paid-up capital represents the actual amount received by the company from shareholders, calculated as called-up capital minus calls in arrears (₦1,200,000 - ₦50,000).

Key Concept

Paid-Up Share Capital Calculation
Question 1334Question

Adeola dispatched 400400 bags of rice costing 25,000\text{₦}25,000 per bag to Musa on consignment. Adeola paid freight of 500,000\text{₦}500,000 and transit insurance of 300,000\text{₦}300,000. Upon receiving the goods, Musa paid clearing charges of 200,000\text{₦}200,000, godown rent of 150,000\text{₦}150,000, and sales promotion expenses of 100,000\text{₦}100,000. At the end of the trading period, Musa had sold 300300 bags of rice.

Calculate the total value of the unsold consignment stock in Naira (\text{₦}).

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Answer: 2750000

Answer

The total value of the unsold consignment stock is ₦2,750,000.
The total value of unsold consignment stock is calculated as the basic cost of the unsold 100 bags (₦2,500,000), plus 25% of the consignor's total freight and insurance expenses (₦200,000), plus 25% of the consignee's direct non-recurring clearing charges (₦50,000). This yields ₦2,750,000. Recurring expenses like godown rent and sales promotion are excluded.

Step-by-Step Solution

1
Determine the quantity of unsold stock and the proportion remaining.
Unsold bags = 400300=100400 - 300 = 100 bags. Proportion unsold = 100400=14\frac{100}{400} = \frac{1}{4} or 25%25\%.
Stock valuation is performed on the remaining inventory at the close of the period.
2
Calculate the basic cost price of the unsold stock.
Basic cost = 100 bags×25,000=2,500,000100 \text{ bags} \times \text{₦}25,000 = \text{₦}2,500,000.
Unsold inventory is initially measured at its original purchase cost.
3
Calculate the proportionate share of the consignor's non-recurring expenses.
Consignor expenses share = 14×(500,000+300,000)=200,000\frac{1}{4} \times (\text{₦}500,000 + \text{₦}300,000) = \text{₦}200,000.
All freight and insurance costs incurred by the consignor to ship goods are direct non-recurring expenses and must be capitalized into inventory value.
4
Identify and add the proportionate share of consignee's direct non-recurring expenses.
Consignee non-recurring share = 14×200,000=50,000\frac{1}{4} \times \text{₦}200,000 = \text{₦}50,000.
Clearing charges are direct non-recurring costs required to bring goods into the consignee's possession. Godown rent (₦150,000) and sales promotion (₦100,000) are recurring selling costs and are excluded.
5
Sum the basic cost and all proportionate direct non-recurring expenses.
Total valuation = 2,500,000+200,000+50,000=2,750,000\text{₦}2,500,000 + \text{₦}200,000 + \text{₦}50,000 = \text{₦}2,750,000.
Unsold stock is valued at cost plus proportionate non-recurring expenses incurred in bringing the goods to their present location.

Key Concept

Valuation and Accounting Treatment of Unsold Consignment Stock
Question 1335Question

Town A is situated at longitude 20W20^\circ\text{W}. When the local solar time at Town A is 09:00 AM09:00\text{ AM}, the local solar time at Town B is 01:00 PM01:00\text{ PM} on the same day. What is the longitude of Town B in degrees East?

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Answer: 40

Answer

The longitude of Town B is 40°E.
Town B is 4 hours ahead of Town A, which corresponds to an angular distance of 6060^\circ East (4×154 \times 15^\circ). Traveling 6060^\circ East starting from 20W20^\circ\text{W} takes 2020^\circ to reach the Prime Meridian (00^\circ), and the remaining 4040^\circ places Town B at 40E40^\circ\text{E}.

Step-by-Step Solution

1
Calculate the difference in local solar time between Town A and Town B.
Time difference = 13:0009:00=4 hours13:00 - 09:00 = 4\text{ hours}.
Local solar time differences represent angular distance between meridians.
2
Convert the time difference into degrees of longitude.
4 hours×15/hour=604\text{ hours} \times 15^\circ/\text{hour} = 60^\circ longitude difference.
The Earth rotates 360360^\circ in 24 hours, which corresponds to 1515^\circ of longitude per hour.
3
Determine direction and calculate the exact longitude of Town B.
Moving 6060^\circ East from 20W20^\circ\text{W} gives 40E40^\circ\text{E}.
Because Town B has a later time, it lies to the East. Subtracting 2020^\circ reaches the Prime Meridian (00^\circ), leaving 4040^\circ in the Eastern Hemisphere.

Key Concept

Calculating Longitude from Local Solar Time Differences Across Meridians
Estimated Time:1m 30s
Question 1336Question

Tayo, a sole proprietor, started the financial year with an opening capital of 1,200,000₦1,200,000. During the year, he introduced 300,000₦300,000 as additional capital and withdrew cash of 180,000₦180,000 for private use. He also withdrew goods costing 45,000₦45,000 (having a selling price of 54,000₦54,000) for personal consumption; however, this transaction was erroneously credited to the Sales account at selling price. If the draft net profit reported for the year prior to rectifying this error was 510,000₦510,000, what is the true closing capital of the business at the end of the year in Naira ()?

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Answer: 1776000

Answer

The true closing capital of the business at the end of the year is 1,776,000₦1,776,000.
The correct closing capital is calculated by adjusting the draft net profit for the improper entry and applying the capital equation. First, crediting Sales at selling price inflated profit by 54,000₦54,000, whereas reducing Purchases at cost price increases profit by 45,000₦45,000. Thus, net profit is reduced by 9,000₦9,000 to 501,000₦501,000. Total drawings equal cash drawings of 180,000₦180,000 plus cost of goods withdrawn of 45,000₦45,000, yielding 225,000₦225,000. Applying the equation: 1,200,000+300,000+501,000225,000=1,776,000₦1,200,000 + ₦300,000 + ₦501,000 - ₦225,000 = ₦1,776,000.

Step-by-Step Solution

1
Adjust the draft net profit for the error in recording goods withdrawn.
Corrected Net Profit = 501,000₦501,000
Goods withdrawn for personal use must be removed from Purchases at cost price (45,000₦45,000), not credited to Sales at selling price (54,000₦54,000). Crediting Sales overstated profit by 54,000₦54,000, while omitting the reduction in Purchases understated profit by 45,000₦45,000. Net adjustment = 54,000+45,000=9,000-₦54,000 + ₦45,000 = -₦9,000. Corrected Net Profit = 510,0009,000=501,000₦510,000 - ₦9,000 = ₦501,000.
2
Determine total drawings made by the proprietor during the year.
Total Drawings = 225,000₦225,000
Drawings comprise both cash taken (180,000₦180,000) and the cost price of goods taken (45,000₦45,000). Total Drawings = 180,000+45,000=225,000₦180,000 + ₦45,000 = ₦225,000.
3
Calculate the closing capital using the capital equity formula.
Closing Capital = 1,776,000₦1,776,000
Closing Capital = Opening Capital (1,200,000₦1,200,000) + Additional Capital (300,000₦300,000) + Corrected Net Profit (501,000₦501,000) - Total Drawings (225,000₦225,000) = 1,776,000₦1,776,000.

Key Concept

Accounting treatment of goods withdrawn for personal use and capital equity equation
Question 1337Question

A scientific research vessel positioned at longitude 48.5W48.5^\circ\text{W} records its local solar time as 3:34 p.m. At that exact instant, a terrestrial tracking station records its local solar time as 9:10 a.m. on the same day. What is the longitude of the tracking station in degrees West?

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Answer: 144.5

Answer

The longitude of the tracking station is 144.5W144.5^\circ\text{W}.
The difference in local solar time between 3:34 p.m. (15:34) and 9:10 a.m. (09:10) is 6 hours and 24 minutes, or 384 minutes. Dividing 384 minutes by 4 minutes per degree gives a longitude difference of 9696^\circ. Since the tracking station is behind in time relative to the vessel, it must be located west of 48.5W48.5^\circ\text{W}. Adding 9696^\circ westward yields a final longitude of 144.5W144.5^\circ\text{W}.

Step-by-Step Solution

1
Calculate the total time difference between the vessel and the tracking station.
Time difference = 15:34 - 09:10 = 6 hours and 24 minutes = 384 minutes.
Determining the net difference in local time is required to find the angular displacement.
2
Convert time difference in minutes to degrees of longitude.
Longitudinal distance = 384 minutes / 4 minutes per degree = 96 degrees.
Earth rotates 360360^\circ in 24 hours, which corresponds to 11^\circ of longitude every 4 minutes.
3
Apply the longitudinal directional rule ('West lose, East gain') to find the station's location.
Station longitude = 48.5 degrees W + 96 degrees = 144.5 degrees W.
Since the tracking station's local time is behind the vessel's local time, the station must be positioned further west of the vessel.

Key Concept

Longitude calculation from local solar time differences and Earth's axial rotation rate
Question 1338Question

Adeleke Traders consigned 300300 boxes of merchandise costing 8,000\text{₦}8,000 per box to Danjuma & Sons. Adeleke Traders paid 120,000\text{₦}120,000 for freight and transit insurance. Danjuma & Sons paid landing charges of 60,000\text{₦}60,000 and warehouse rent of 40,000\text{₦}40,000. Danjuma & Sons sold 240240 boxes at 12,000\text{₦}12,000 per box and earned an ordinary commission of 5%5\% and a del-credere commission of 2.5%2.5\% on total sales. A credit customer defaulted, creating a bad debt of 35,000\text{₦}35,000. Before sales commenced, Danjuma & Sons had remitted a cash advance of 500,000\text{₦}500,000. What is the net amount (in ��\text{��}) remitted by Danjuma & Sons to settle their account in Adeleke Traders' ledger?

Show answer & explanation

Answer: 2064000

Answer

The net amount remitted by Danjuma & Sons to settle the consignee ledger account is ₦2,064,000.
In the consignor's books, the Consignee Personal Account is debited with gross sales proceeds (₦2,880,000) and credited with advance payments (₦500,000), expenses paid by the consignee (₦100,000), and commissions earned (₦216,000). Because a del-credere commission was granted, bad debts of ₦35,000 are borne by the consignee and excluded from this ledger account. The resulting credit balance cleared by bank draft is ₦2,064,000.

Step-by-Step Solution

1
Calculate the gross sales revenue credited to the Consignee Account
₦2,880,000
The consignee is debited with the total proceeds realized from selling 240 boxes at ₦12,000 each.
2
Calculate total commission entitlement (ordinary plus del-credere)
₦216,000
Ordinary commission (5%) = ₦144,000; Del-credere commission (2.5%) = ₦72,000. Total = ₦216,000.
3
Sum expenses incurred by the consignee
₦100,000
Landing charges (₦60,000) and warehouse rent (₦40,000) paid by Danjuma & Sons are recoverable from the consignor.
4
Apply del-credere accounting rule for bad debts
Bad debt of ₦35,000 is ignored in consignor's ledger
Del-credere commission transfers credit default risks to the consignee; thus, bad debts are not credited to the Consignee Account.
5
Deduct advance payment, consignee expenses, and commission from gross sales
₦2,064,000
Net Remittance = Gross Sales (₦2,880,000) - Advance (₦500,000) - Consignee Expenses (₦100,000) - Commission (₦216,000) = ₦2,064,000.

Key Concept

Preparation of Consignee Personal Account under Del-Credere Commission Agreement
Estimated Time:1m 30s
Question 1339Question

On a topographical map with a constant contour interval of 20 m20\text{ m}, Point X is located on the contour line labeled 240 m240\text{ m}. Point Y is located higher up the same hill, exactly three contour intervals above Point X. What is the elevation of Point Y in meters?

Show answer & explanation

Answer: 300

Answer

The elevation of Point Y is 300 m300\text{ m}.
The contour interval indicates that consecutive contour lines differ by 20 m20\text{ m} in elevation. Moving up three contour line intervals from Point X (240 m240\text{ m}) increases elevation by 3×20 m=60 m3 \times 20\text{ m} = 60\text{ m}. Thus, the elevation at Point Y is 240 m+60 m=300 m240\text{ m} + 60\text{ m} = 300\text{ m}.

Step-by-Step Solution

1
Calculate total vertical rise between the two points
Vertical rise = 3×20 m=60 m3 \times 20\text{ m} = 60\text{ m}
Point Y is three contour intervals higher than Point X, and each interval represents 20 m20\text{ m} of vertical distance.
2
Calculate the elevation at Point Y
Elevation at Point Y = 240 m+60 m=300 m240\text{ m} + 60\text{ m} = 300\text{ m}
Adding the total vertical rise to the baseline elevation at Point X yields the final elevation at Point Y.

Key Concept

Calculating elevation on topographical maps using contour intervals
Estimated Time:45s
Question 1340Question

A radio signal transmitted live from Station X, located at longitude 78E78^\circ\text{E}, is logged at 10:40 AM10:40\text{ AM} local solar time. At the exact same instant, the signal is received at Station Y, where the local solar time is logged as 03:16 PM03:16\text{ PM} on the same day. What is the longitude of Station Y in degrees East?

Show answer & explanation

Answer: 147

Answer

147°E
The time difference between 10:40 AM and 03:16 PM is 4 hours and 36 minutes. Converting this time difference to degrees using 1515^\circ per hour (4×15=604 \times 15^\circ = 60^\circ) and 11^\circ per 4 minutes (36 min/4 min/degree=936 \text{ min} / 4 \text{ min/degree} = 9^\circ) gives a total longitudinal distance of 6969^\circ. Because Station Y has a later solar time than Station X, it is situated further East. Adding 6969^\circ to 78E78^\circ\text{E} yields 147E147^\circ\text{E}.

Step-by-Step Solution

1
Calculate the time difference between Station Y and Station X
4 hours and 36 minutes
Subtracting the earlier local time at Station X (10:40 AM) from the later local time at Station Y (03:16 PM) yields a duration of 4 hours and 36 minutes.
2
Convert the calculated time difference into longitudinal degrees
69 degrees
Earth rotates through 15° of longitude per hour (or 1° every 4 minutes). Thus, 4 hours corresponds to 60° and 36 minutes corresponds to 9°, giving a total of 69°.
3
Calculate the longitude of Station Y based on directional time relationship
147°E
Because local time at Station Y is later than at Station X, Station Y lies further East. Adding the angular separation of 69° to 78°E results in 147°E.

Key Concept

Longitude calculation from local time difference
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