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1526 questions

Question 401Question

Kano Head Office operates a dependent branch in Kaduna, supplying all goods at cost price. For the year ended 31 December 2025, the following records were extracted:

DetailsAmount (₦)
Branch stock (1 January 2025)15,000
Goods sent to branch120,000
Goods returned to head office5,000
Cash sales at branch80,000
Credit sales at branch45,000
Branch stock (31 December 2025)20,000
Branch operating expenses paid by head office4,000

What is the net profit of the Kaduna branch for the year in Naira (₦)?

Show answer & explanation

Answer: 11000

Answer

The net profit of the Kaduna branch for the year is ₦11,000.
The net profit is calculated by subtracting total cost of goods sold and operating expenses from total sales (cash + credit sales). Total sales equal ₦125,000, cost of goods sold equals ₦110,000 (Opening stock ₦15,000 + Net goods sent ₦115,000 - Closing stock ₦20,000), leaving a gross profit of ₦15,000. Deducting branch expenses of ₦4,000 yields the net profit of ₦11,000.

Step-by-Step Solution

1
Determine total branch sales
₦125,000
Total revenue includes both cash sales (₦80,000) and credit sales (₦45,000).
2
Calculate net goods sent to branch from head office
₦115,000
Subtract returns to head office from goods sent: ₦120,000 - ₦5,000 = ₦115,000.
3
Calculate cost of goods sold (COGS)
₦110,000
COGS = Opening Stock (₦15,000) + Net Goods Sent (₦115,000) - Closing Stock (₦20,000) = ₦110,000.
4
Calculate branch gross profit
₦15,000
Gross Profit = Total Sales (₦125,000) - COGS (₦110,000) = ₦15,000.
5
Deduct operating expenses to find net profit
₦11,000
Net Profit = Gross Profit (₦15,000) - Operating Expenses (₦4,000) = ₦11,000.

Key Concept

Accounting for Dependent Branches at Cost Price
Question 402Question

A physical geographer constructs a cross-section across a ridge on a topographic map with a scale of 1:250001 : 25{}000. On the vertical axis of the profile, 1 cm1\text{ cm} represents an elevation of 20 metres20\text{ metres}. What is the vertical exaggeration (VEVE) of this cross-section profile?

Show answer & explanation

Answer: 12.5

Answer

The vertical exaggeration of the cross-section profile is 12.5.
To find vertical exaggeration (VEVE), convert both the vertical and horizontal scales to Representative Fractions (RF). The vertical scale of 1 cm=20 m1\text{ cm} = 20\text{ m} converts to 1 cm:2000 cm1\text{ cm} : 2{}000\text{ cm} (1:20001 : 2{}000). The horizontal scale is given as 1:250001 : 25{}000. Dividing the horizontal scale denominator (2500025{}000) by the vertical scale denominator (20002{}000) yields 12.512.5.

Step-by-Step Solution

1
Convert the vertical scale to a unitless Representative Fraction (RF)
Vertical Scale = 1 cm:20 m=1 cm:2000 cm=1:20001\text{ cm} : 20\text{ m} = 1\text{ cm} : 2{}000\text{ cm} = 1 : 2{}000
Both horizontal and vertical scales must be expressed in the same unit (centimetres) to enable direct comparison as representative fractions.
2
State the horizontal scale as a Representative Fraction (RF)
Horizontal Scale = 1:250001 : 25{}000
The map scale provides the horizontal ratio between map distance and ground distance.
3
Apply the vertical exaggeration formula
VE=Vertical Scale (RF)Horizontal Scale (RF)=1/20001/25000=250002000VE = \frac{\text{Vertical Scale (RF)}}{\text{Horizontal Scale (RF)}} = \frac{1 / 2{}000}{1 / 25{}000} = \frac{25{}000}{2{}000}
Vertical exaggeration measures how many times larger the vertical scale is relative to the horizontal scale.
4
Perform the final division
VE=12.5VE = 12.5
Dividing 25,000 by 2,000 yields the unitless exaggeration factor of 12.5.

Key Concept

Vertical Exaggeration of Topographic Profiles
Question 403Question

A weather station in Ibadan recorded a daily maximum temperature of 34C34^\circ\text{C} and a daily minimum temperature of 22C22^\circ\text{C}. What is the diurnal range of temperature for that day in C{}^\circ\text{C}?

Show answer & explanation

Answer: 12

Answer

12 °C
The diurnal temperature range is found by subtracting the minimum daily temperature from the maximum daily temperature: 34C22C=12C34^\circ\text{C} - 22^\circ\text{C} = 12^\circ\text{C}.

Step-by-Step Solution

1
Identify the recorded daily maximum and minimum temperatures
Maximum temperature = 34C34^\circ\text{C}, Minimum temperature = 22C22^\circ\text{C}
Diurnal range calculation requires the extreme temperature values recorded within a 24-hour period.
2
Calculate the difference between the maximum and minimum temperatures
34C22C=12C34^\circ\text{C} - 22^\circ\text{C} = 12^\circ\text{C}
The diurnal (daily) range of temperature is defined as the arithmetic difference between the highest and lowest temperatures of the day.

Key Concept

Diurnal Temperature Range
Estimated Time:45s
Question 404Question

Danford Oil Plc has an issued share capital of 1,200,0001,200,000 ordinary shares of 0.50\text{₦}0.50 each and a Share Premium balance of 180,000\text{₦}180,000. The company executes a rights issue of 11 new ordinary share for every 44 shares held at an issue price of 0.80\text{₦}0.80 per share, which is fully subscribed. Immediately thereafter, the company declares a bonus issue of 11 new share for every 66 ordinary shares held, utilizing the Share Premium account. What is the remaining balance in the Share Premium account after both transactions?

Show answer & explanation

Answer: 145000

Answer

The remaining balance in the Share Premium account after both transactions is ₦145,000.
The rights issue adds 300,000 shares and generates a premium of ₦90,000 (300,000 × ₦0.30), bringing the Share Premium account to ₦270,000. The post-rights total of 1,500,000 shares yields 250,000 bonus shares (1 for 6 ratio). The nominal value of the bonus issue is ₦125,000 (250,000 × ₦0.50). Deducting ₦125,000 from the Share Premium account leaves a balance of ₦145,000.

Step-by-Step Solution

1
Determine the number of rights shares issued and the resulting share premium generated.
Rights shares = 1,200,000 ÷ 4 = 300,000 shares. Premium per share = ₦0.80 - ₦0.50 = ₦0.30. Premium generated = 300,000 × ₦0.30 = ₦90,000.
A 1 for 4 rights issue on 1,200,000 shares generates 300,000 new shares, with the excess of issue price over nominal value credited to Share Premium.
2
Calculate the updated Share Premium account balance prior to capitalizing bonus shares.
Updated Share Premium balance = ₦180,000 + ₦90,000 = ₦270,000.
The share premium from the rights issue is added to the initial Share Premium reserve balance.
3
Calculate the total ordinary shares in issue following the rights issue.
Total post-rights issued shares = 1,200,000 + 300,000 = 1,500,000 shares.
Bonus shares are declared after the rights issue is completed, so they apply to the total post-rights share count.
4
Calculate the nominal value of bonus shares issued.
Bonus shares = 1,500,000 ÷ 6 = 250,000 shares. Nominal value of bonus issue = 250,000 × ₦0.50 = ₦125,000.
Bonus shares are allocated at nominal value (₦0.50) without receiving cash payment.
5
Subtract the capitalized bonus share value from the Share Premium account.
Remaining Share Premium = ₦270,000 - ₦125,000 = ₦145,000.
Capitalizing reserves to fund a bonus issue reduces the Share Premium account by the total nominal value of the bonus shares issued.

Key Concept

Accounting Treatment of Rights Issue Premium and Bonus Share Capitalization
Question 405Question

At 1 January 2025, a trader's Rates Account had a prepaid balance of 35,000\text{₦}35,000. During the financial year ended 31 December 2025, total cash paid for rates was 210,000\text{₦}210,000, which included 45,000\text{₦}45,000 paid for rates covering the first quarter of 2026. As of 31 December 2025, an amount of 15,000\text{₦}15,000 for rates owing for December 2025 had not been paid. What is the net rates expense to be debited to the Profit and Loss Account for the year ended 31 December 2025?

Show answer & explanation

Answer: 215000

Answer

The total rates expense to be debited to the Profit and Loss Account for the year ended 31 December 2025 is ₦215,000.
According to the matching concept, the Profit and Loss Account must reflect only expenses incurred for the specific period. Starting with cash paid (₦210,000), adding the opening prepaid balance (₦35,000) and closing accrued balance (₦15,000), and deducting the closing prepaid balance (₦45,000) yields ₦215,000 as the true expense for 2025.

Step-by-Step Solution

1
Record total cash paid during the current financial year
Cash paid = ₦210,000
This is the base amount paid through the cash book for rates.
2
Add the opening prepaid expense balance
₦210,000 + ₦35,000 = ₦245,000
Prepayments from the previous period relate to consumption in the current period.
3
Deduct the closing prepaid expense balance
₦245,000 - ₦45,000 = ₦200,000
Prepayments made at the end of the year relate to the subsequent accounting period.
4
Add the closing accrued expense balance
₦200,000 + ₦15,000 = ₦215,000
Accrued expenses incurred in the current period must be included under the matching/accrual concept even if unpaid.

Key Concept

Accrual and matching concept applied to expense accounts
Question 406Question

A forest reserve covers an area of 16 cm216\text{ cm}^2 on a topographical map with a scale of 1:100,0001 : 100,000. If the map is enlarged such that the same forest reserve occupies an area of 64 cm264\text{ cm}^2 on the new map, what is the scale denominator (NN) of the new map, where the scale is expressed as 1:N1 : N?

Show answer & explanation

Answer: 50000

Answer

The scale denominator of the new map is 50,000.
To find the scale denominator of the enlarged map, first determine the area multiplier by dividing the new map area by the original map area (64 cm2/16 cm2=464\text{ cm}^2 / 16\text{ cm}^2 = 4). Since map area scale is the square of the linear scale multiplier (k2=4k^2 = 4), taking the square root gives the linear factor k=2k = 2. Map enlargement by a linear factor of 22 means the map detail is twice as large, so the new scale denominator is found by dividing the original denominator by 22: 100,000/2=50,000100,000 / 2 = 50,000. The scale of the new map is 1:50,0001 : 50,000.

Step-by-Step Solution

1
Calculate the area scale multiplier
Area multiplier = 64 / 16 = 4
The area scale multiplier is the ratio of the new feature area on the map to its original area on the map.
2
Calculate the linear scale multiplier
Linear multiplier = sqrt(4) = 2
Map area varies as the square of the linear scale multiplier (k^2), so the linear multiplier k is the square root of the area multiplier.
3
Calculate the new scale denominator
New scale denominator N = 100,000 / 2 = 50,000
When a map is enlarged by a linear factor k, its representative fraction denominator is divided by k.

Key Concept

Map Enlargement and Area Scale Calculations
Estimated Time:1m 30s
Question 407Question

On 12 June, Babatunde purchased goods with a list price of 400,000\text{₦}400,000 from a supplier on credit, subject to a 15%15\% trade discount. On 26 June, he settled the account by issuing a cheque, taking advantage of a 5%5\% cash discount for prompt payment. What is the net amount, in Naira (\text{₦}), entered in the Bank column of Babatunde's three-column cash book?

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Answer: 323000

Answer

The net amount entered in the Bank column of the cash book is 323,000 Naira.
The trade discount of 15% reduces the list price of ₦400,000 to an invoice amount of ₦340,000. When settling the account, a 5% cash discount on ₦340,000 (which is ₦17,000) is allowed for prompt payment. Deducting ₦17,000 from ₦340,000 leaves ₦323,000 as the actual cheque payment recorded in the Bank column on the credit side of the three-column cash book.

Step-by-Step Solution

1
Calculate the trade discount
₦60,000
Trade discount is calculated as a percentage of the catalog or list price (15%×400,000=60,00015\% \times \text{₦}400,000 = \text{₦}60,000).
2
Determine the net invoice value to be settled
₦340,000
Trade discount is deducted immediately and is not recorded in the accounting books (400,00060,000=340,000\text{₦}400,000 - \text{₦}60,000 = \text{₦}340,000).
3
Calculate the cash discount received for prompt payment
₦17,000
Cash discount is calculated on the net invoice price after trade discount (5%×340,000=17,0005\% \times \text{₦}340,000 = \text{₦}17,000).
4
Calculate the actual cheque amount paid
₦323,000
The cash book Bank column records the actual net amount paid by cheque after deducting the cash discount (340,00017,000=323,000\text{₦}340,000 - \text{₦}17,000 = \text{₦}323,000).

Key Concept

Distinction and sequential calculation of trade discount and cash discount in the cash book
Estimated Time:1m 30s
Question 408Question

Kofi and Ama are partners sharing profits and losses in the ratio 3:23:2. On the dissolution of their partnership, the book values of the assets transferred to the Realization Account were: Buildings ₦150,000150,000, Plant and Machinery ₦80,00080,000, Debtors ₦50,00050,000, and Stock ₦30,00030,000. The assets were realized as follows: Buildings ₦180,000180,000, Plant and Machinery ₦70,00070,000, Debtors ₦45,00045,000, and Stock ₦25,00025,000. Dissolution expenses of ₦6,0006,000 were paid. What is Kofi's share of the profit on realization in Naira?

Show answer & explanation

Answer: 2400

Answer

Kofi's share of the realization profit is ₦2,400.
The total realization proceeds from all assets amount to ₦320,000. Subtracting the book value of transferred assets (₦310,000) and the realization expenses (₦6,000) gives a net profit on realization of ₦4,000. Applying Kofi's profit-sharing ratio of 3/5 yields a share of ₦2,400.

Step-by-Step Solution

1
Calculate Total Book Value of Assets
₦310,000
Assets transferred to the Realization Account are debited at their book values: 150,000+80,000+50,000+30,000=310,000150,000 + 80,000 + 50,000 + 30,000 = 310,000.
2
Calculate Total Realized Value of Assets
₦320,000
Gross proceeds from asset sales credited to Realization Account: 180,000+70,000+45,000+25,000=320,000180,000 + 70,000 + 45,000 + 25,000 = 320,000.
3
Determine Net Realization Profit
₦4,000
Net Profit = Total CreditsTotal Debits=320,000(310,000+6,000)=4,000\text{Total Credits} - \text{Total Debits} = 320,000 - (310,000 + 6,000) = 4,000.
4
Apportion Profit to Kofi
₦2,400
Kofi's profit share = 33+2×4,000=2,400\frac{3}{3+2} \times 4,000 = 2,400.

Key Concept

Calculation and distribution of net profit or loss on the Realization Account during partnership dissolution
Estimated Time:1m 30s
Question 409Question

On July 1, 2026, an enterprise operating a petty cash imprest system had a remaining cash balance of 6,500₦6,500 in the petty cash box from the previous month. The chief cashier replenished the float to its agreed limit of 40,000₦40,000. During July, disbursements were made for office stationery (12,300₦12,300), bus fares (7,500₦7,500), and courier services (9,400₦9,400). What is the amount of cash in Naira () remaining in the petty cash box at the end of July 2026 before any reimbursement is made?

Show answer & explanation

Answer: 10800

Answer

The amount of cash remaining in the petty cash box at the end of July 2026 before reimbursement is 10,800₦10,800.
Under the imprest system, the float is restored to the agreed limit at the start of the accounting period (40,000₦40,000). Total expenses paid during July equal 12,300+7,500+9,400=29,200₦12,300 + ₦7,500 + ₦9,400 = ₦29,200. Therefore, the cash remaining in the petty cash box before any reimbursement is 40,00029,200=10,800₦40,000 - ₦29,200 = ₦10,800.

Step-by-Step Solution

1
Calculate the total petty cash expenses disbursed during the month
Total Disbursements = 12,300+7,500+9,400=29,200₦12,300 + ₦7,500 + ₦9,400 = ₦29,200
Summing all paid petty cash vouchers gives the total cash spent out of the petty cash box during July.
2
Calculate the remaining cash balance before reimbursement
Remaining Cash = Imprest Float - Total Disbursements = 40,00029,200=10,800₦40,000 - ₦29,200 = ₦10,800
Under the imprest system, cash remaining in the box equals the total agreed imprest float minus total cash spent.

Key Concept

Imprest System Remaining Cash Balance Calculation
Question 410Question

At a weather observation station in Jos, Nigeria, a meteorologist recorded the following daily temperature readings using a Six's maximum and minimum thermometer over a four-day period:

- Day 1: Maximum = 31.0C31.0^\circ\text{C}, Minimum = 19.0C19.0^\circ\text{C}
- Day 2: Maximum = 33.5C33.5^\circ\text{C}, Minimum = 17.5C17.5^\circ\text{C}
- Day 3: Maximum = 28.0C28.0^\circ\text{C}, Minimum = 16.0C16.0^\circ\text{C}
- Day 4: Maximum = 29.5C29.5^\circ\text{C}, Minimum = 18.5C18.5^\circ\text{C}

Calculate the mean diurnal (daily) temperature range for this four-day period in degrees Celsius (C^\circ\text{C}).

Show answer & explanation

Answer: 12.75

Answer

The mean diurnal temperature range over the four-day period is 12.75C12.75^\circ\text{C}.
The mean diurnal range measures the average difference between daily peak heat and night cooling over a given period. Subtracting minimum from maximum for each day yields 12.0C12.0^\circ\text{C}, 16.0C16.0^\circ\text{C}, 12.0C12.0^\circ\text{C}, and 11.0C11.0^\circ\text{C}. The average of these four values is 12.75C12.75^\circ\text{C}.

Step-by-Step Solution

1
Find the diurnal range for each individual day
Day 1: 12.0C12.0^\circ\text{C}, Day 2: 16.0C16.0^\circ\text{C}, Day 3: 12.0C12.0^\circ\text{C}, Day 4: 11.0C11.0^\circ\text{C}
The diurnal temperature range is defined as the difference between the maximum and minimum temperatures recorded in a single 24-hour period.
2
Calculate the sum of all daily ranges
51.0C51.0^\circ\text{C}
To compute an average over multiple days, the individual daily ranges must first be aggregated.
3
Compute the arithmetic mean across the 4 days
12.75C12.75^\circ\text{C}
Dividing the aggregate sum by the total number of observation days (4) yields the mean diurnal range.

Key Concept

Diurnal Temperature Range and Mean Calculation
Question 411Question

Adeola Traders operates a dual ledger system. On 1st July 2025, the debit balance of the Sales Ledger Control Account was N145,000\text{N}145,000. During July, credit sales amounted to N82,000\text{N}82,000, cash collected from debtors was N94,000\text{N}94,000, discount allowed was N4,000\text{N}4,000, and bad debts written off totaled N3,000\text{N}3,000. A contra entry of N16,500\text{N}16,500 was set off between the sales ledger and purchases ledger. What is the closing debit balance of the Sales Ledger Control Account at the end of July 2025?

Show answer & explanation

Answer: 109500

Answer

109,500 Naira
Contra entries represent mutual set-offs between customer and supplier accounts. In the Sales Ledger Control Account, a contra entry is credited because it reduces the overall indebtedness of customers. Therefore, subtracting cash received, discounts allowed, bad debts, and the contra entry from total debits (opening balance plus credit sales) yields a closing debit balance of 109,500 Naira.

Step-by-Step Solution

1
Sum all debit entries in the Sales Ledger Control Account
Total Debits = N145,000+N82,000=N227,000\text{N}145,000 + \text{N}82,000 = \text{N}227,000
Opening debit balance and credit sales increase the total receivables balance.
2
Sum all credit entries, including the contra set-off
Total Credits = N94,000+N4,000+N3,000+N16,500=N117,500\text{N}94,000 + \text{N}4,000 + \text{N}3,000 + \text{N}16,500 = \text{N}117,500
Cash receipts, discounts allowed, bad debts written off, and contra entries reduce the debt owed by debtors.
3
Calculate the closing debit balance
Closing Balance = N227,000N117,500=N109,500\text{N}227,000 - \text{N}117,500 = \text{N}109,500
Subtracting total credits from total debits yields the net remaining debit balance.

Key Concept

Treatment of Contra Entries in Sales Ledger Control Account
Question 412Question

On a topographical survey map drawn to a scale of 1:40,0001:40,000, Point X lies at an elevation of 250 m250\text{ m} on a hillside, and Point Y lies further uphill along a straight spur at an elevation of 650 m650\text{ m}. If the distance between Point X and Point Y measured on the map is 5 cm5\text{ cm}, the gradient of the slope between the two points can be expressed in the ratio form 1:x1 : x. What is the numerical value of xx?

Show answer & explanation

Answer: 5

Answer

The numerical value of xx is 5.
The difference in elevation (Vertical Interval) between the two points is 400 m400\text{ m}. Converting the 5 cm5\text{ cm} map measurement to ground distance using the 1:40,0001:40,000 scale gives 2,000 m2,000\text{ m} (Horizontal Equivalent). Dividing the Vertical Interval by the Horizontal Equivalent yields 4002000=15\frac{400}{2000} = \frac{1}{5}, meaning the gradient expressed as 1:x1 : x has x=5x = 5.

Step-by-Step Solution

1
Calculate the Vertical Interval (VI)
400 m
The vertical interval represents the elevation difference between Point Y and Point X: 650 m250 m=400 m650\text{ m} - 250\text{ m} = 400\text{ m}.
2
Calculate the Horizontal Equivalent (HE)
2,000 m
At a map scale of 1:40,0001:40,000, 1 cm1\text{ cm} on the map corresponds to 40,000 cm=400 m40,000\text{ cm} = 400\text{ m} on the ground. A map measurement of 5 cm5\text{ cm} equals 5×400 m=2,000 m5 \times 400\text{ m} = 2,000\text{ m}.
3
Determine the Gradient Ratio
1 : 5 (x = 5)
Gradient is determined by dividing Vertical Interval by Horizontal Equivalent: 400 m2,000 m=15\frac{400\text{ m}}{2,000\text{ m}} = \frac{1}{5}. Writing this ratio as 1:x1 : x yields x=5x = 5.

Key Concept

Slope and Gradient Calculation from Topographical Contour Maps
Question 413Question

Adewale opened his accounting books on 1st January with the following balances extracted for an opening journal entry: Delivery Van 450,000\text{₦}450,000, Inventory 180,000\text{₦}180,000, Trade Debtors 90,000\text{₦}90,000, Cash in Hand 30,000\text{₦}30,000, Trade Creditors 140,000\text{₦}140,000, and Bank Loan 110,000\text{₦}110,000. What is the amount of Capital (in \text{₦}) to be credited in the General Journal?

Show answer & explanation

Answer: 500000

Answer

The Capital to be credited in the General Journal is 500,000\text{₦}500,000.
The General Journal opening entry records total assets of 750,000\text{₦}750,000 on the debit side and total liabilities of 250,000\text{₦}250,000 on the credit side. The balancing amount credited to the Capital Account is computed as Capital=AssetsLiabilities=750,000250,000=500,000\text{Capital} = \text{Assets} - \text{Liabilities} = \text{₦}750,000 - \text{₦}250,000 = \text{₦}500,000.

Step-by-Step Solution

1
Calculate total assets by adding all asset balances
Total Assets = 450,000+180,000+90,000+30,000=750,000\text{₦}450,000 + \text{₦}180,000 + \text{₦}90,000 + \text{₦}30,000 = \text{₦}750,000
Opening entries require debiting all assets of the business.
2
Calculate total liabilities by adding all external obligations
Total Liabilities = 140,000+110,000=250,000\text{₦}140,000 + \text{₦}110,000 = \text{₦}250,000
Opening entries require crediting all liabilities owed to external parties.
3
Deduct total liabilities from total assets to determine the opening capital
Capital = 750,000250,000=500,000\text{₦}750,000 - \text{₦}250,000 = \text{₦}500,000
According to the fundamental accounting equation, Capital=Total AssetsTotal Liabilities\text{Capital} = \text{Total Assets} - \text{Total Liabilities}.

Key Concept

Opening entries in the General Journal (Journal Proper) establish the initial accounting records of a business by recording assets as debits, liabilities as credits, and balancing the entry by crediting Capital using Capital=AssetsLiabilities\text{Capital} = \text{Assets} - \text{Liabilities}.
Question 414Question

Zenith Logistics Plc offered for public subscription 50,00050,000 ordinary shares of 2.00\text{₦}2.00 each at a premium of 15%15\%. If all the shares were fully subscribed and paid for, what total amount (in \text{₦}) will be credited to the Share Premium Account?

Show answer & explanation

Answer: 15000

Answer

The total amount credited to the Share Premium Account is ₦15,000.
The premium per share is 15%15\% of 2.00\text{₦}2.00, which equals 0.30\text{₦}0.30. Multiplying this unit premium by the total 50,00050,000 shares issued yields 15,000\text{₦}15,000, which is credited to the Share Premium Account.

Step-by-Step Solution

1
Calculate the share premium per share
Premium per share = 0.15×2.00=0.300.15 \times \text{₦}2.00 = \text{₦}0.30
Share premium represents the excess amount over the nominal (par) value of each share issued.
2
Multiply the premium per share by the number of shares issued
Total Share Premium = 50,000×0.30=15,00050,000 \times \text{₦}0.30 = \text{₦}15,000
The total amount credited to the Share Premium Account is the unit premium multiplied by the total number of subscribed shares.

Key Concept

Accounting calculation for share premium upon issue of shares
Question 415Question

Prior to reconciliation, the Sales Ledger Control Account of Folake Enterprises showed a debit balance of ₦540,000 on 31 December 2025. Upon auditing the books, the following errors were discovered:

1. The sales journal total was understated by ���9,000.
2. A customer's dishonoured cheque of ₦14,000 recorded in the cash book was not posted to the control account.
3. A contra set-off of ₦6,000 between the sales and purchases ledgers was omitted from the control account.
4. Total discount allowed of ₦3,500 was wrongly posted to the debit side of the control account.

What is the correct adjusted balance of the Sales Ledger Control Account?

Show answer & explanation

Answer: 550000

Answer

The correct adjusted balance of the Sales Ledger Control Account is ₦550,000.
The unadjusted debit balance of ₦540,000 is increased by ₦9,000 for understated sales and ₦14,000 for the dishonoured cheque, and decreased by ₦6,000 for the omitted contra entry and ₦7,000 for correcting the misposted discount allowed (deducting ₦3,500 to reverse the wrong debit and ₦3,500 to credit it properly). This yields an adjusted debit balance of ₦550,000.

Step-by-Step Solution

1
Identify initial balance and direction
Unadjusted debit balance = ₦540,000
The Sales Ledger Control Account normally carries a debit balance representing total trade debtors.
2
Adjust for understated sales journal total
Add ₦9,000 to debit balance
Understating sales means total debtors were understated; increasing sales increases the control account debit.
3
Adjust for dishonoured cheque
Add ₦14,000 to debit balance
A dishonoured cheque reinstates the debtor's debt, requiring a debit entry in the Sales Ledger Control Account.
4
Adjust for omitted contra entry
Deduct ₦6,000 from debit balance
Contra set-offs reduce amounts owed by debtors against amounts owed to them as creditors, requiring a credit entry.
5
Correct misposted discount allowed
Deduct ₦7,000 from debit balance
Discount allowed reduces debtors (credit side). Debiting ₦3,500 requires a credit adjustment of ₦7,000 (₦3,500 to cancel the error plus ₦3,500 for the correct posting).
6
Compute total adjusted balance
540,000 + 9,000 + 14,000 - 6,000 - 7,000 = ₦550,000
Summing all debit additions and credit deductions yields the true adjusted control balance.

Key Concept

Adjustment of Sales Ledger Control Account for Errors and Omissions
Question 416Question

If the local time at the Greenwich Meridian (00^\circ) is 12:00 noon, what is the longitude of a city where the local time is 4:00 PM on the same day? Express your answer as a number in degrees East.

Show answer & explanation

Answer: 60

Answer

The longitude of the city is 60E60^\circ\text{E}.
The time difference between 12:00 noon and 4:00 PM is 4 hours. Since the Earth rotates 1515^\circ per hour, 4 hours corresponds to 4×15=604 \times 15^\circ = 60^\circ. Because the local time at the city is ahead of Greenwich Mean Time (GMT), the city lies to the East of the Greenwich Meridian at longitude 60E60^\circ\text{E}.

Step-by-Step Solution

1
Determine the time difference between the two locations.
Time difference = 4 hours
Subtract 12:00 noon from 4:00 PM (16:00).
2
Convert the time difference into degrees of longitude.
Angular distance = 6060^\circ
Earth rotates 360360^\circ in 24 hours, which equals 1515^\circ per hour (4 hours×15=604\text{ hours} \times 15^\circ = 60^\circ).
3
Determine the direction (East or West) relative to the Prime Meridian.
60E60^\circ\text{E}
Locations with time ahead of Greenwich are to the East.

Key Concept

Calculation of longitude from local time difference relative to Greenwich Meridian
Question 417Question

A certain district in West Africa recorded 1,200 live births in a given year within a mid-year population of 50,000. Calculate the Crude Birth Rate (CBR) per 1,000 population for this district.

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Answer: 24

Answer

24 per 1,000 population
The correct rate of 24 per 1,000 is derived by dividing total live births (1,200) by total mid-year population (50,000) and scaling the result per 1,000 individuals.

Step-by-Step Solution

1
Identify the given demographic parameters from the problem stem
Total live births = 1,200; Mid-year population = 50,000
These inputs are required for determining crude birth rate.
2
Apply the Crude Birth Rate formula
CBR = (1,200 / 50,000) * 1,000
Crude Birth Rate standardizes births per 1,000 members of a population per year.
3
Calculate the final numeric value
CBR = 24
Dividing 1,200 by 50,000 yields 0.024, which multiplied by 1,000 equals 24.

Key Concept

Crude Birth Rate (CBR) Calculation
Question 418Question

On a topographic map drawn to a scale of 1:50,0001 : 50,000, a road ascends continuously from Point A at a contour elevation of 160 m160\text{ m} to Point B at a contour elevation of 360 m360\text{ m}. If the straight-line distance between Point A and Point B measured on the map is 10 cm10\text{ cm}, calculate the gradient of the road between these two points. Express your answer as the value of NN in the ratio 1:N1 : N.

Show answer & explanation

Answer: 25

Answer

The value of N in the gradient ratio 1 : N is 25.
The vertical interval (difference in elevation) between the two points is 360 m160 m=200 m360\text{ m} - 160\text{ m} = 200\text{ m}. The horizontal ground distance (Horizontal Equivalent) is calculated from the map distance of 10 cm10\text{ cm} at a scale of 1:50,0001 : 50,000, giving 10 cm×50,000=500,000 cm=5,000 m10\text{ cm} \times 50,000 = 500,000\text{ cm} = 5,000\text{ m}. Dividing the vertical interval by the horizontal equivalent gives 200 m5,000 m=125\frac{200\text{ m}}{5,000\text{ m}} = \frac{1}{25}, which corresponds to a gradient ratio of 1:251 : 25, so N=25N = 25.

Step-by-Step Solution

1
Calculate Vertical Interval (VI)
200 m
Subtract the lower contour height from the higher contour height (360 m - 160 m).
2
Calculate Horizontal Equivalent (HE) in meters
5,000 m
Multiply map measurement by scale factor (10 cm * 50,000 = 500,000 cm = 5,000 m).
3
Compute the gradient ratio (VI / HE)
1 / 25
Divide 200 m by 5,000 m and simplify the fraction to 1 / 25.

Key Concept

Slope and Gradient Calculation from Topographical Map Contours
Question 419Question

On 30th June 2026, the Cash Book bank column of Emeka Enterprises showed a debit balance of NGN 45,000\text{NGN } 45,000. Upon comparison with the Bank Statement, the following items causing discrepancies were identified:

- Direct credit for dividends received directly by the bank: NGN 2,500\text{NGN } 2,500
- Bank charges not yet recorded in the Cash Book: NGN 1,200\text{NGN } 1,200
- Standing order payment for insurance: NGN 3,000\text{NGN } 3,000
- Unpresented cheques: NGN 8,500\text{NGN } 8,500
- Uncredited lodgements: NGN 5,400\text{NGN } 5,400

What is the adjusted Cash Book balance in NGN prior to preparing the Bank Reconciliation Statement?

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Answer: 43300

Answer

The adjusted Cash Book balance is NGN 43,300.
The adjusted Cash Book balance is calculated by taking the initial Cash Book debit balance of NGN 45,000\text{NGN } 45,000, adding unrecorded direct credits (dividends of NGN 2,500\text{NGN } 2,500), and deducting unrecorded bank payments/charges (bank charges of NGN 1,200\text{NGN } 1,200 and standing order of NGN 3,000\text{NGN } 3,000), giving NGN 43,300\text{NGN } 43,300. Unpresented cheques and uncredited lodgements do not adjust the Cash Book because they are already present in the Cash Book.

Step-by-Step Solution

1
Categorize the discrepancy items based on accounting treatment.
Direct credit (NGN 2,500\text{NGN } 2,500), bank charges (NGN 1,200\text{NGN } 1,200), and standing order (NGN 3,000\text{NGN } 3,000) require entries in the Cash Book. Unpresented cheques and uncredited lodgements are timing differences handled in the reconciliation statement.
The Cash Book must first be updated for items that the bank has processed but the enterprise has not yet entered.
2
Calculate the updated Cash Book balance.
NGN 45,000+NGN 2,500NGN 1,200NGN 3,000=NGN 43,300\text{NGN } 45,000 + \text{NGN } 2,500 - \text{NGN } 1,200 - \text{NGN } 3,000 = \text{NGN } 43,300.
Direct receipts increase the debit balance, whereas unrecorded payments and fees decrease it.

Key Concept

Distinguishing Cash Book adjustment items (unrecorded bank transactions) from Bank Reconciliation Statement items (unpresented cheques and uncredited deposits).
Question 420Question

In a given administrative zone in West Africa with an estimated mid-year population of 250000250{}000, a demographic survey recorded 75007{}500 live births and 25002{}500 deaths during a single calendar year. In the same year, records showed that 12501{}250 individuals moved permanently into the zone while 750750 individuals emigrated out. Based on these demographic statistics, what is the annual total population growth rate of the zone expressed as a percentage?

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Answer: 2.2

Answer

The annual total population growth rate of the administrative zone is 2.2%2.2\%.
The total population growth rate integrates natural growth (live births minus deaths) and net migration balance (immigrants minus emigrants). With 50005{}000 net natural additions (2.0%2.0\%) and 500500 net migration additions (0.2%0.2\%), the total annual growth rate equals 2.2%2.2\%.

Step-by-Step Solution

1
Determine the natural population change
Natural Increase = Births - Deaths = 75002500=50007{}500 - 2{}500 = 5{}000
Natural population change isolates natural demographic events prior to factoring in net spatial mobility.
2
Calculate the Rate of Natural Increase (RNI) as a percentage
RNI=(5000250000)×100%=2.0%\text{RNI} = \left(\frac{5{}000}{250{}000}\right) \times 100\% = 2.0\%
Expressing natural increase relative to the mid-year population standardized as a percentage yields the natural growth rate.
3
Determine the net migration change and Net Migration Rate (NMR)
Net Migration = Immigrants - Emigrants = 1250750=5001{}250 - 750 = 500; NMR=(500250000)×100%=0.2%\text{NMR} = \left(\frac{500}{250{}000}\right) \times 100\% = 0.2\%
Net migration accounts for population gains and losses resulting from external spatial movements.
4
Sum the Rate of Natural Increase and Net Migration Rate
Total Population Growth Rate=2.0%+0.2%=2.2%\text{Total Population Growth Rate} = 2.0\% + 0.2\% = 2.2\%
Overall population growth rate is the sum of natural population growth rate and net migration rate.

Key Concept

Calculation of Total Population Growth Rate incorporating Natural Increase and Net Migration
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