Tüm alıştırma soruları

1526 soru

Soru 1141Soru

During the financial year ended 31 December 2025, a business paid 95,000\text{₦}95,000 by cash for electricity expenses. At 1 January 2025, electricity prepaid was 12,500\text{₦}12,500 and electricity accrued was 8,000\text{₦}8,000. At 31 December 2025, electricity accrued was 14,000\text{₦}14,000 and electricity prepaid was 6,500\text{₦}6,500. Calculate the amount of electricity expense to be debited to the Profit and Loss Account for the year ended 31 December 2025.

Cevabı ve açıklamayı göster

Cevap: 107000

Cevap

The amount to be debited to the Profit and Loss Account as electricity expense for the year ended 31 December 2025 is ₦107,000.
According to the matching/accrual concept of accounting, revenue and expenses must be recognized in the period they occur regardless of when cash is paid. The formula for expense to be charged to Profit and Loss is: Cash Paid + Opening Prepayment - Opening Accrual + Closing Accrual - Closing Prepayment. Performing the calculation: ₦95,000 + ₦12,500 - ₦8,000 + ₦14,000 - ₦6,500 yields ₦107,000.

Adım Adım Çözüm

1
Start with total cash paid during the year
₦95,000
This is the initial cash outlay recorded in the cash book and posted to the expense account.
2
Adjust for opening prepaid and accrued balances
₦95,000 + ₦12,500 - ₦8,000 = ₦99,500
Opening prepayment paid in the prior period relates to the current period and must be added. Opening accrual incurred in the prior period was unpaid and must be subtracted.
3
Adjust for closing accrued and prepaid balances
₦99,500 + ₦14,000 - ₦6,500 = ₦107,000
Closing accrual incurred in the current period must be added. Closing prepayment paid in the current period for the future period must be subtracted.

Anahtar Kavram

Accrual concept in calculating expense to be charged to Profit and Loss Account
Tahmini Süre:1m 30s
Soru 1142Soru

A textile merchant, Mr. Danjuma, insured his warehouse inventory against fire loss with two separate insurance companies: Policy A with Royal Exchange for N15,000,000\text{N}15,000,000 and Policy B with Mutual Benefits Assurance for N25,000,000\text{N}25,000,000. During a fire outbreak, the inventory suffered an actual confirmed loss of N8,000,000\text{N}8,000,000. Under the principle of contribution, what amount (in Naira) is Royal Exchange liable to pay to Mr. Danjuma?

Cevabı ve açıklamayı göster

Cevap: 3000000

Cevap

Royal Exchange is liable to pay N3,000,000\text{N}3,000,000.
The principle of contribution applies when an insured property is covered against the same risk with multiple insurers. The compensation is shared proportionally based on each insurer's share of the total sum insured. Royal Exchange covers N15,000,000\text{N}15,000,000 out of a total sum insured of N40,000,000\text{N}40,000,000 (or 38\frac{3}{8}). Therefore, its contribution toward the N8,000,000\text{N}8,000,000 actual loss is 38×N8,000,000=N3,000,000\frac{3}{8} \times \text{N}8,000,000 = \text{N}3,000,000.

Adım Adım Çözüm

1
Find the total sum insured across both insurance companies.
Total Sum Insured = N15,000,000+N25,000,000=N40,000,000\text{N}15,000,000 + \text{N}25,000,000 = \text{N}40,000,000.
Contribution requires evaluating the aggregate cover provided by all active policies on the same subject matter and risk.
2
Determine the proportion of insurance provided by Royal Exchange.
Fraction = N15,000,000N40,000,000=38\frac{\text{N}15,000,000}{\text{N}40,000,000} = \frac{3}{8} or 37.5%37.5\%.
Each insurer pays compensation relative to its share of the total sum insured.
3
Calculate Royal Exchange's share of indemnity compensation for the actual loss.
Amount payable = 38×N8,000,000=N3,000,000\frac{3}{8} \times \text{N}8,000,000 = \text{N}3,000,000.
The principle of indemnity ensures the insured is compensated only for the actual loss, split proportionally among the insurers.

Anahtar Kavram

Principle of Contribution
Soru 1143Soru

A commercial enterprise records total current assets of 950,000₦950,000 and current liabilities of 400,000₦400,000 at the end of its financial year. What is the net working capital of the enterprise in Naira?

Cevabı ve açıklamayı göster

Cevap: 550000

Cevap

The net working capital of the enterprise is 550,000₦550,000.
Working capital measures a firm's operational liquidity and is calculated by subtracting current liabilities from current assets (950,000400,000=550,000₦950,000 - ₦400,000 = ₦550,000).

Adım Adım Çözüm

1
Identify current assets and current liabilities from the problem statement
Current Assets = 950,000₦950,000, Current Liabilities = 400,000₦400,000
Working capital measures short-term liquidity derived from short-term financial items.
2
Subtract current liabilities from current assets using the working capital equation
950,000400,000=550,000₦950,000 - ₦400,000 = ₦550,000
Net working capital represents the net operational funds available to support day-to-day business activities.

Anahtar Kavram

Working Capital Calculation
Soru 1144Soru

Apex Enterprises Plc was registered with an authorized share capital of 12,000,000\text{₦}12,000,000 consisting of ordinary shares of 1.50\text{₦}1.50 each. The company issued 60%60\% of its authorized shares to the public. The board of directors made a first call of 0.80\text{₦}0.80 per share and a second call of 0.40\text{₦}0.40 per share on all issued shares. At the end of the financial period, holders of 250,000250,000 shares defaulted on the second call, while holders of 150,000150,000 shares paid the uncalled balance of 0.30\text{₦}0.30 per share in advance. What is the total value (in \text{₦}) of the company's paid-up share capital?

Cevabı ve açıklamayı göster

Cevap: 5660000

Cevap

The paid-up share capital of Apex Enterprises Plc is 5,660,000\text{₦}5,660,000.
Paid-up capital represents the actual portion of called-up share capital that has been received from shareholders. It is derived by subtracting calls-in-arrears (100,000\text{₦}100,000) from the total called-up capital (5,760,000\text{₦}5,760,000), yielding 5,660,000\text{₦}5,660,000. Money paid in advance of calls (calls-in-advance) is treated as a short-term liability to the company and is excluded from paid-up share capital.

Adım Adım Çözüm

1
Calculate the total number of authorized ordinary shares
8,000,000 shares
Authorized capital divided by the nominal value per share gives the total registered shares: 12,000,0001.50=8,000,000 shares\frac{\text{₦}12,000,000}{\text{₦}1.50} = 8,000,000\text{ shares}.
2
Determine the number of issued shares
4,800,000 shares
The company issued 60%60\% of its authorized share capital: 60%×8,000,000=4,800,000 shares60\% \times 8,000,000 = 4,800,000\text{ shares}.
3
Calculate total called-up capital
₦5,760,000
Total calls made per share equal 0.80+0.40=1.20\text{₦}0.80 + \text{₦}0.40 = \text{₦}1.20. Multiplying by issued shares yields 4,800,000×1.20=5,760,0004,800,000 \times \text{₦}1.20 = \text{₦}5,760,000.
4
Calculate calls-in-arrears
₦100,000
Defaulted amount on the second call is 250,000 shares×0.40=100,000250,000\text{ shares} \times \text{₦}0.40 = \text{₦}100,000.
5
Determine net paid-up capital
₦5,660,000
Paid-up share capital equals Called-up capital minus Calls-in-arrears: 5,760,000100,000=5,660,000\text{₦}5,760,000 - \text{₦}100,000 = \text{₦}5,660,000. Calls-in-advance are accounted for as current liabilities rather than share capital.

Anahtar Kavram

Distinction between Authorized, Issued, Called-up, and Paid-up share capital, including accounting treatment of Calls-in-Arrears and Calls-in-Advance.
Soru 1145Soru

Sterling Heights Plc issued 5,000,0005,000,000 ordinary shares of 2.00₦2.00 each to the public. The directors called up 1.50₦1.50 per share. All money called was received except for a default on 200,000200,000 shares where shareholders failed to pay the 0.50₦0.50 call portion of the called-up amount. What is the total paid-up capital of the company in Naira?

Cevabı ve açıklamayı göster

Cevap: 7400000

Cevap

The total paid-up capital of the company is ₦7,400,000.
Paid-up capital measures the actual sum received by a company from its shareholders. It is derived by taking the total called-up capital (5,000,000 shares×1.50=7,500,0005,000,000 \text{ shares} \times ₦1.50 = ₦7,500,000) and deducting the calls in arrears (200,000 shares×0.50=100,000200,000 \text{ shares} \times ₦0.50 = ₦100,000), yielding 7,400,000₦7,400,000.

Adım Adım Çözüm

1
Calculate Total Called-Up Capital
₦7,500,000
Called-up capital represents the total portion of issued share capital that the company has requested shareholders to pay.
2
Calculate Calls in Arrears
₦100,000
Calls in arrears represents the unpaid portion of the called-up capital due from defaulting shareholders.
3
Subtract Calls in Arrears from Called-Up Capital
₦7,400,000
Paid-up capital is the actual amount of money received by the company from its shareholders for shares issued.

Anahtar Kavram

Distinction and relationship between Called-Up Capital, Calls in Arrears, and Paid-Up Capital
Soru 1146Soru

Binta Logistics Ltd insured its commercial cold-storage facility, valued at N120,000,000\text{N}120,000,000, against fire risk with two separate insurers: Underwriter Zenith for N45,000,000\text{N}45,000,000 and Underwriter Apex for N35,000,000\text{N}35,000,000. Both policies strictly enforce the Average Clause. Following an accidental fire outbreak, the assessed physical damage to the facility amounts to N36,000,000\text{N}36,000,000. What is the exact amount of compensation (in Naira) payable by Underwriter Zenith to Binta Logistics Ltd?

Cevabı ve açıklamayı göster

Cevap: 13500000

Cevap

Underwriter Zenith is liable to pay exactly N13,500,000 in compensation.
Under the Average Clause principle in insurance, if an asset is insured for less than its actual value (under-insurance), the insured is considered their own insurer for the uninsured proportion. Therefore, in the event of partial loss, compensation from any given policy is calculated as (Sum Insured under that policy / Total Actual Value of Property) * Assessed Loss. Applying this gives (N45,000,000 / N120,000,000) * N36,000,000 = N13,500,000.

Adım Adım Çözüm

1
Determine the insured's total property value, individual underwriter cover, and actual loss incurred.
Property Value = N120,000,000; Zenith Policy Cover = N45,000,000; Actual Loss = N36,000,000.
Establishing accurate figures is necessary to check for under-insurance.
2
Apply the Average Clause formula to find Underwriter Zenith's rateable proportion of loss.
Liability = (N45,000,000 / N120,000,000) * N36,000,000.
When a property is under-insured and subject to an average clause, each insurer pays only the proportion of loss that their sum insured bears to the total actual value of the property.
3
Perform the mathematical reduction and multiplication.
Liability = 0.375 * N36,000,000 = N13,500,000.
This yields the final exact amount payable by Underwriter Zenith.

Anahtar Kavram

Average Clause and Contribution Principles in Fire Insurance
Soru 1147Soru

The financial extract of Danjuma & Sons Enterprises at the close of the trading year reveals the following account balances:

- Premises and Machinery: 3,500,000\text{₦}3,500,000
- Inventory (Stock): 850,000\text{₦}850,000
- Trade Debtors: 450,000\text{₦}450,000
- Bank Overdraft: 300,000\text{₦}300,000
- Trade Creditors: 500,000\text{₦}500,000
- 10% Long-term Debentures: 1,200,000\text{₦}1,200,000

What is the Capital Owned (Proprietor's Capital) of the enterprise in Naira?

Cevabı ve açıklamayı göster

Cevap: 2800000

Cevap

The Capital Owned of the enterprise is ₦2,800,000.
Capital Owned represents the net equity belonging strictly to the owner. It is calculated by taking Total Assets (Fixed Assets ₦3,500,000 + Current Assets ₦1,300,000 = ₦4,800,000) and subtracting Total Liabilities (Current Liabilities ₦800,000 + Long-term Debentures ₦1,200,000 = ₦2,000,000), giving ₦2,800,000. Alternatively, subtracting long-term liabilities from Capital Employed (₦4,000,000 - ₦1,200,000) yields ₦2,800,000.

Adım Adım Çözüm

1
Identify and sum total current assets
Total Current Assets = ₦850,000 + ₦450,000 = ₦1,300,000
Current assets consist of short-term liquid assets such as inventory and trade debtors.
2
Identify and sum total current liabilities
Total Current Liabilities = ₦300,000 + ₦500,000 = ₦800,000
Current liabilities consist of short-term debts due within an accounting year, such as overdrafts and trade creditors.
3
Compute Working Capital
Working Capital = ₦1,300,000 - ���800,000 = ₦500,000
Working capital measures net current assets available for daily operations.
4
Compute Capital Employed
Capital Employed = Fixed Assets (₦3,500,000) + Working Capital (₦500,000) = ₦4,000,000
Capital employed represents total net assets invested in the business.
5
Compute Capital Owned
Capital Owned = Capital Employed (₦4,000,000) - Long-term Liabilities (₦1,200,000) = ₦2,800,000
Capital owned is the owner's net equity, derived by deducting non-current borrowed capital (debentures) from capital employed.

Anahtar Kavram

Capital Structure Calculations (Working Capital, Capital Employed, Capital Owned)
Soru 1148Soru

In a commercial banking system, the Central Bank mandates a Cash Reserve Ratio of 15%15\%. If the banking system generates a total deposit expansion of N6,000,000\text{N}6,000,000 through the credit creation process, what is the initial cash deposit (in Naira) made into the system?

Cevabı ve açıklamayı göster

Cevap: 900000

Cevap

The initial cash deposit required to generate a total deposit expansion of 6,000,000 Naira at a 15% Cash Reserve Ratio is 900,000 Naira.
The relationship between initial deposit (PP), total deposit expansion (TT), and Cash Reserve Ratio (CRRCRR) is given by T=PCRRT = \frac{P}{CRR}. Rearranging this equation to solve for the initial deposit yields P=T×CRRP = T \times CRR. Substituting the given values gives P=N6,000,000×0.15=N900,000P = \text{N}6,000,000 \times 0.15 = \text{N}900,000.

Adım Adım Çözüm

1
Identify the total deposit expansion formula
Total Deposit Expansion = Initial Cash Deposit / Cash Reserve Ratio (CRR)
The deposit multiplier is the inverse of the Cash Reserve Ratio, meaning total credit created expands proportionately to the primary cash deposit.
2
Substitute the provided figures into the equation
6,000,000 = Initial Cash Deposit / 0.15
The Cash Reserve Ratio of 15% is expressed as 0.15 in decimal form.
3
Rearrange the equation to solve for the initial cash deposit
Initial Cash Deposit = 6,000,000 * 0.15 = 900,000 Naira
Multiplying the total credit expansion by the reserve requirement yields the original primary deposit.

Anahtar Kavram

Credit Multiplier and Primary Cash Deposit Calculation
Soru 1149Soru

A commercial banking system generated a maximum total credit expansion of N1,000,000\text{N}1,000,000 from a fresh initial cash deposit of N200,000\text{N}200,000. What is the mandatory Cash Reserve Ratio (CRR) set by the central bank, expressed as a percentage?

Cevabı ve açıklamayı göster

Cevap: 20

Cevap

The mandatory Cash Reserve Ratio is 20%.
Total credit creation is given by the formula Total Credit=Initial Deposit×1CRR\text{Total Credit} = \text{Initial Deposit} \times \frac{1}{\text{CRR}}. Rearranging to solve for CRR gives CRR=Initial DepositTotal Credit×100%=200,0001,000,000×100%=20%\text{CRR} = \frac{\text{Initial Deposit}}{\text{Total Credit}} \times 100\% = \frac{200,000}{1,000,000} \times 100\% = 20\%.

Adım Adım Çözüm

1
Calculate the Credit Multiplier
Credit Multiplier = 5
Divide the total credit expansion (N1,000,000) by the initial cash deposit (N200,000).
2
Calculate the Cash Reserve Ratio
Cash Reserve Ratio = 20%
The Cash Reserve Ratio is the reciprocal of the credit multiplier, calculated as (1 / 5) × 100%.

Anahtar Kavram

Calculation of Cash Reserve Ratio from Initial Deposit and Total Credit Expansion
Soru 1150Soru

The following details relate to rent income of a business for the financial year ended 31 December 2025:

ItemAmount (₦)
Rent received in cash during 2025380,000
Rent accrued as at 1 January 202525,000
Rent accrued as at 31 December 202540,000
Rent received in advance as at 31 December 202518,000

What is the amount to be credited to the Profit and Loss Account as rent income for the year ended 31 December 2025?

Cevabı ve açıklamayı göster

Cevap: 377000

Cevap

The amount to be credited to the Profit and Loss Account as rent income for the year ended 31 December 2025 is ₦377,000.
Under the accrual concept of accounting, income credited to the Profit and Loss Account reflects revenues earned during the accounting period rather than cash received. The formula is: Net Income = Cash Received - Opening Accrued Income + Closing Accrued Income - Closing Prepaid Income. Substituting the given values yields: ₦380,000 - ₦25,000 + ₦40,000 - ₦18,000 = ₦377,000.

Adım Adım Çözüm

1
Identify the total cash received for rent
₦380,000
This represents the total cash inflows recorded in the cash book for rent during the year.
2
Deduct opening accrued rent income
₦380,000 - ₦25,000 = ₦355,000
Accrued income at the start of the year was earned in the previous financial year and must be excluded from current revenue.
3
Add closing accrued rent income
₦355,000 + ₦40,000 = ₦395,000
Accrued income at the end of the year was earned during the current period and must be included regardless of cash collection.
4
Deduct closing prepaid rent income
₦395,000 - ₦18,000 = ₦377,000
Rent received in advance at year-end relates to the next accounting period and must be deferred.

Anahtar Kavram

Determination of income earned during an accounting period using the accrual concept.
Soru 1151Soru

A commercial banking system maintains cash reserves of N1,500,000\text{N}1,500,000, which fully satisfies a mandatory Cash Reserve Ratio (CRR) of 15%15\%. If the Central Bank reduces the CRR to 12%12\%, what is the maximum additional credit expansion, in Naira, that the banking system can generate from the resulting excess reserves?

Cevabı ve açıklamayı göster

Cevap: 2500000

Cevap

The maximum additional credit expansion that the banking system can generate is 2,500,000 Naira.
When the Central Bank lowers the Cash Reserve Ratio from 15% to 12%, the total deposits supported by N1,500,000 in reserves increases from N10,000,000 (N1,500,000 / 0.15) to N12,500,000 (N1,500,000 / 0.12). The maximum additional credit expansion achievable by the banking system is the difference between the new total deposit capacity and the initial total deposits, which equals N2,500,000.

Adım Adım Çözüm

1
Determine the initial total deposits in the commercial banking system.
Initial Total Deposits = N10,000,000
Since N1,500,000 represents 15% of total deposits, total deposits = N1,500,000 / 0.15 = N10,000,000.
2
Calculate the new total credit expansion capacity under the 12% reserve ratio.
New Total Deposit Capacity = N12,500,000
With N1,500,000 reserves and a 12% CRR, the system can support total deposits of N1,500,000 / 0.12 = N12,500,000.
3
Subtract the initial total deposits from the new total deposit capacity to find additional expansion.
Additional Expansion = N2,500,000
N12,500,000 - N10,000,000 = N2,500,000.

Anahtar Kavram

Excess Reserves and Credit Creation Multiplier
Soru 1152Soru

Vanguard Manufacturing Plc presents the following items in its financial records at the end of the year:

- Issued Ordinary Share Capital: 5,000,000\text{₦}5,000,000
- 8%8\% Debentures: 2,000,000\text{₦}2,000,000
- Share Premium: 500,000\text{₦}500,000
- Retained Earnings: 1,200,000\text{₦}1,200,000
- Bank Overdraft: 800,000\text{₦}800,000
- Trade Creditors: 600,000\text{₦}600,000

Calculate the total value of long-term capital available to the company in Naira.

Cevabı ve açıklamayı göster

Cevap: 8700000

Cevap

The total value of long-term capital available to Vanguard Manufacturing Plc is ₦8,700,000.
Long-term capital comprises equity capital, long-term loans, and reserves used to finance permanent business assets. Summing Issued Share Capital (₦5,000,000), 8% Debentures (₦2,000,000), Share Premium (₦500,000), and Retained Earnings (₦1,200,000) yields ₦8,700,000. Short-term debts like Bank Overdraft and Trade Creditors are excluded.

Adım Adım Çözüm

1
Classify each financial item into long-term capital or short-term liability
Long-term capital items: Issued Ordinary Share Capital (₦5,000,000), 8% Debentures (₦2,000,000), Share Premium (₦500,000), Retained Earnings (₦1,200,000). Short-term items: Bank Overdraft (₦800,000), Trade Creditors (₦600,000).
Long-term capital includes equity, reserves, and long-term liabilities intended for permanent business operations.
2
Calculate the sum of all long-term sources of capital
₦5,000,000 + ₦2,000,000 + ₦500,000 + ₦1,200,000 = ₦8,700,000
Adding equity shares, long-term loan capital (debentures), capital reserves (share premium), and accumulated profits gives total long-term capital.

Anahtar Kavram

Distinction Between Long-Term Capital and Short-Term Liabilities

Alternatif Yöntem

Total long-term capital can also be calculated by summing Total Equity/Reserves (₦5,000,000 + ₦500,000 + ₦1,200,000 = ₦6,700,000) and Total Non-Current Debt (₦2,000,000), yielding ₦8,700,000.
Tahmini Süre:1m 30s
Soru 1153Soru

Apex Nigeria Limited was registered with an authorized share capital of 800,000800,000 ordinary shares of 1.00\text{₦}1.00 each. The directors offered 500,000500,000 shares to the public, which were fully subscribed and called up. If calls in arrears on 10,00010,000 shares at 0.20\text{₦}0.20 per share remain unpaid, what is the value of the company's paid-up share capital in Naira (\text{₦})?

Cevabı ve açıklamayı göster

Cevap: 498000

Cevap

The total paid-up share capital of Apex Nigeria Limited is ₦498,000.
Paid-up share capital is determined by deducting calls in arrears from called-up capital. Given a called-up capital of ₦500,000 (500,000 shares at ₦1.00) and unpaid calls of ₦2,000 (10,000 shares at ₦0.20), the resulting paid-up capital is ₦500,000 - ₦2,000 = ₦498,000.

Adım Adım Çözüm

1
Calculate the total called-up share capital
Called-up capital = 500,000 shares × ₦1.00 = ₦500,000
Called-up capital represents the total nominal value of shares for which payment has been demanded from shareholders.
2
Calculate the total calls in arrears
Calls in arrears = 10,000 shares × ₦0.20 = ₦2,000
Calls in arrears represent the unpaid portion of the called-up capital.
3
Deduct calls in arrears from called-up capital to determine paid-up share capital
Paid-up capital = ₦500,000 - ₦2,000 = ₦498,000
Paid-up share capital is the actual amount of money paid by shareholders toward their called-up shares.

Anahtar Kavram

Calculation of Paid-up Share Capital from Called-up Capital and Calls in Arrears
Soru 1154Soru

A nucleus contains 66 protons and 66 neutrons. Given that the mass of a proton is 1.0078 u1.0078\text{ u}, the mass of a neutron is 1.0087 u1.0087\text{ u}, and the total binding energy of the nucleus is 93.10 MeV93.10\text{ MeV}, what is the mass of the nucleus in atomic mass units (u\text{u})? (Take 1 u=931 MeV1\text{ u} = 931\text{ MeV})

Cevabı ve açıklamayı göster

Cevap: 11.999

Cevap

The mass of the nucleus is 11.9990 u11.9990\text{ u}.
To find the mass of the nucleus, first calculate the combined mass of the 6 free protons and 6 free neutrons: 6(1.0078 u)+6(1.0087 u)=12.0990 u6(1.0078\text{ u}) + 6(1.0087\text{ u}) = 12.0990\text{ u}. Next, determine the mass defect from the binding energy: Δm=93.10 MeV931 MeV/u=0.1000 u\Delta m = \frac{93.10\text{ MeV}}{931\text{ MeV/u}} = 0.1000\text{ u}. Finally, subtract the mass defect from the total mass of individual nucleons to get the nuclear mass: 12.0990 u0.1000 u=11.9990 u12.0990\text{ u} - 0.1000\text{ u} = 11.9990\text{ u}.

Adım Adım Çözüm

1
Calculate the total mass of the individual free protons and neutrons.
Total mass of nucleons = 6(1.0078 u)+6(1.0087 u)=12.0990 u6(1.0078\text{ u}) + 6(1.0087\text{ u}) = 12.0990\text{ u}.
The mass of the constituent particles before binding is the sum of their individual rest masses.
2
Calculate the mass defect from the given binding energy.
Mass defect Δm=93.10 MeV931 MeV/u=0.1000 u\Delta m = \frac{93.10\text{ MeV}}{931\text{ MeV/u}} = 0.1000\text{ u}.
Binding energy and mass defect are related by Eb=Δm×931 MeV/uE_b = \Delta m \times 931\text{ MeV/u}.
3
Subtract the mass defect from the total nucleon mass to obtain the nuclear mass.
Mass of nucleus = 12.0990 u0.1000 u=11.9990 u12.0990\text{ u} - 0.1000\text{ u} = 11.9990\text{ u}.
Mass defect represents the mass lost when nucleons bind together into a nucleus.

Anahtar Kavram

Mass Defect and Binding Energy Relationship
Soru 1155Soru

Kalu and Nkechi entered into a joint venture to trade in timber, maintaining a separate set of books. They opened a Joint Bank Account to which Kalu paid 500,000\text{₦}500,000 and Nkechi paid 300,000\text{₦}300,000. Goods were bought for 600,000\text{₦}600,000 and carriage expenses of 50,000\text{₦}50,000 were paid out of the Joint Bank Account. All goods were sold for 950,000\text{₦}950,000 and deposited into the Joint Bank Account. Calculate the net profit of the joint venture in naira.

Cevabı ve açıklamayı göster

Cevap: 300000

Cevap

The net profit of the joint venture is ₦300,000.
In the separate set of books method, the Joint Venture Account acts as a Trading and Profit & Loss Account. Revenue from sales (₦950,000) is credited, while expenses including purchases (₦600,000) and carriage (₦50,000) are debited. The credit balance of ₦300,000 represents the net joint profit.

Adım Adım Çözüm

1
Identify total joint venture revenue
Sales revenue = ₦950,000
Sales proceeds received and deposited into the Joint Bank Account are credited to the Joint Venture Account.
2
Calculate total venture expenses
Total expenses = ₦600,000 + ₦50,000 = ₦650,000
Purchases and carriage expenses paid out of the Joint Bank Account are debited to the Joint Venture Account.
3
Determine net profit
Net profit = ₦950,000 - ₦650,000 = ₦300,000
Net profit is calculated by finding the excess of total revenue over total expenses in the Joint Venture Account.

Anahtar Kavram

Joint Venture Accounting: Separate Set of Books Method
Soru 1156Soru

The following cost details were extracted from the financial records of Kaduna Industrial Fabrics Ltd for the accounting year ended 31 December 2025:

Cost ItemAmount (₦)
Opening inventory of raw materials85,000
Purchases of raw materials420,000
Carriage inwards on raw materials18,000
Returns of raw materials to suppliers15,000
Closing inventory of raw materials92,000
Direct factory wages310,000
Royalty paid on production design45,000
Factory supervisor's salary60,000
Factory building rent70,000
Depreciation of factory machinery25,000

What is the Prime Cost of production for the year?

Cevabı ve açıklamayı göster

Cevap: 771000

Cevap

The Prime Cost of production for the year is ₦771,000.
Prime Cost consists strictly of direct material costs, direct labour costs, and direct expenses. The raw materials consumed calculate as ₦85,000 + ₦420,000 + ₦18,000 - ₦15,000 - ₦92,000 = ₦416,000. Adding direct wages of ₦310,000 and direct royalty expenses of ₦45,000 gives ₦771,000. Factory overheads such as supervisor's salary, factory rent, and plant depreciation are indirect costs and must be excluded.

Adım Adım Çözüm

1
Calculate the total cost of raw materials consumed
₦416,000
Raw materials consumed equals Opening Inventory of Raw Materials (₦85,000) + Purchases (₦420,000) + Carriage Inwards (₦18,000) - Returns Outward (₦15,000) - Closing Inventory (₦92,000).
2
Identify direct wages and direct expenses
Direct wages = ₦310,000; Direct expenses (Royalty) = ₦45,000
Direct factory wages represent direct labour costs, while royalties paid specifically for production designs are direct manufacturing expenses.
3
Sum all direct cost elements to determine Prime Cost
₦771,000
Prime Cost is the sum of Direct Raw Materials Consumed (₦416,000) + Direct Labour (₦310,000) + Direct Expenses (₦45,000).

Anahtar Kavram

Calculation of Prime Cost from Direct Costs
Soru 1157Soru

Audu and Bisi opened a Joint Bank Account for a venture in agro-processing equipment, maintaining a separate set of books. They agreed to share profits and losses in the ratio of 3:23:2. Audu and Bisi contributed 1,500,000\text{₦}1,500,000 and 1,000,000\text{₦}1,000,000 respectively into the Joint Bank Account.

Transactions executed during the venture were as follows:
- Goods purchased through Joint Bank: 1,800,000\text{₦}1,800,000
- Freight and carriage paid through Joint Bank: 120,000\text{₦}120,000
- Goods supplied directly by Audu from his private stock: 300,000\text{₦}300,000
- Selling expenses paid directly by Bisi from personal funds: 80,000\text{₦}80,000
- Management commission due to Audu: 5%5\% on gross sales revenue
- Total sales proceeds deposited into Joint Bank: 3,000,000\text{₦}3,000,000
- Unsold stock taken over by Bisi at an agreed value of 150,000\text{₦}150,000

What is the final cash amount in Naira payable to Bisi from the Joint Bank Account upon settlement?

Cevabı ve açıklamayı göster

Cevap: 1210000

Cevap

The final cash amount payable to Bisi upon settlement of the joint venture is ₦1,210,000.
Under the separate set of books method, the Joint Venture Account functions like a Trading and Profit & Loss Account to determine net profit or loss. Credit entries comprise sales (₦3,000,000) and closing stock taken over (₦150,000), totaling ₦3,150,000. Debit entries comprise purchases (₦1,800,000), freight (₦120,000), goods supplied by Audu (₦300,000), Bisi's selling expenses (₦80,000), and Audu's commission of 5% on sales (₦150,000), totaling ₦2,450,000. This leaves a net profit of ₦700,000. Bisi's 2/5 share of profit is ₦280,000. In Bisi's Personal Account, credits include capital (₦1,000,000), expenses paid (₦80,000), and profit share (₦280,000), giving ₦1,360,000. Subtracting the debit for stock taken over (₦150,000) leaves ₦1,210,000 payable to Bisi from the Joint Bank.

Adım Adım Çözüm

1
Calculate total credits to the Joint Venture Account
₦3,150,000
Includes sales revenue received via Joint Bank (₦3,000,000) and the agreed value of unsold stock taken over by Bisi (₦150,000).
2
Calculate total debits (costs, expenses, and commission) in the Joint Venture Account
₦2,450,000
Sum of purchases (₦1,800,000), carriage (₦120,000), goods supplied by Audu (₦300,000), selling expenses paid by Bisi (₦80,000), and Audu's commission (5% of ₦3,000,000 = ₦150,000).
3
Determine the net joint venture profit and share allocation
Net profit = ₦700,000; Bisi's share = ₦280,000
Net profit is ₦3,150,000 - ₦2,450,000 = ₦700,000. Bisi's profit share in the 3:2 ratio is (2 / 5) * ₦700,000 = ₦280,000.
4
Balance Bisi's Personal Account to determine final cash distribution
₦1,210,000
Bisi is credited with her capital contribution (₦1,000,000), expenses incurred (₦80,000), and profit share (₦280,000), totaling ₦1,360,000. She is debited for stock taken over (₦150,000). The net credit balance to be paid to her from the Joint Bank is ₦1,360,000 - ₦150,000 = ₦1,210,000.

Anahtar Kavram

Joint Venture Accounting under Separate Set of Books Method
Soru 1158Soru

A business owner extracted the following balances from the trading records for the year ended 31 December 2025:

- Opening Inventory: 15,000\text{₦}15,000
- Purchases: 80,000\text{₦}80,000
- Carriage Inwards: 2,000\text{₦}2,000
- Closing Inventory: 20,000\text{₦}20,000

What is the Cost of Goods Sold in Naira?

Cevabı ve açıklamayı göster

Cevap: 77000

Cevap

The Cost of Goods Sold is ₦77,000.
The Cost of Goods Sold is calculated by adding Opening Inventory (₦15,000), Purchases (₦80,000), and Carriage Inwards (₦2,000), then subtracting Closing Inventory (₦20,000), giving a final result of ₦77,000.

Adım Adım Çözüm

1
Sum opening inventory, purchases, and carriage inwards
15,000+80,000+2,000=97,000\text{₦}15,000 + \text{₦}80,000 + \text{₦}2,000 = \text{₦}97,000
Carriage inwards is a direct cost added to purchases to determine total goods available for sale.
2
Deduct closing inventory
97,00020,000=77,000\text{₦}97,000 - \text{₦}20,000 = \text{₦}77,000
Closing inventory represents unsold stock and must be subtracted to arrive at the cost of stock sold.

Anahtar Kavram

Cost of Goods Sold Calculation
Soru 1159Soru

The accounting records of Kolawole Enterprises showed the following balances for the year ended 31 December 2025:

- Gross Sales: 450,000\text{₦}450,000
- Returns Inwards: 15,000\text{₦}15,000
- Opening Inventory: 60,000\text{₦}60,000
- Purchases: ��280,000\text{��}280,000
- Returns Outwards: 10,000\text{₦}10,000
- Carriage Inwards: 12,000\text{₦}12,000
- Carriage Outwards: 8,000\text{₦}8,000
- Goods withdrawn by owner for personal use: 6,000\text{₦}6,000

If the closing inventory is valued at 20%20\% of the cost of goods available for sale, what is the Gross Profit of the enterprise in Naira?

Cevabı ve açıklamayı göster

Cevap: 166200

Cevap

The Gross Profit earned by Kolawole Enterprises is ₦166,200.
To determine the Gross Profit, first calculate Net Sales by deducting Returns Inwards from Gross Sales (₦450,000 - ₦15,000 = ₦435,000). Next, calculate Net Purchases by subtracting Returns Outwards (₦10,000) and Goods Withdrawn for Personal Use (₦6,000) from Purchases (₦280,000), giving ₦264,000. Sum Opening Inventory (₦60,000), Net Purchases (₦264,000), and Carriage Inwards (₦12,000) to find the Cost of Goods Available for Sale (₦336,000). Deduct Closing Inventory (20% of ₦336,000 = ₦67,200) to arrive at Cost of Goods Sold (₦268,800). Subtracting Cost of Goods Sold from Net Sales yields the Gross Profit of ₦166,200.

Adım Adım Çözüm

1
Calculate Net Sales
₦435,000
Net Sales is total sales minus sales returns (returns inwards).
2
Calculate Net Purchases
₦264,000
Net Purchases is total purchases minus purchases returns (returns outwards) and goods taken by the proprietor for personal use.
3
Calculate Cost of Goods Available for Sale
₦336,000
Cost of goods available for sale includes opening inventory, net purchases, and direct transport costs on purchases (carriage inwards). Carriage outwards is an operating distribution expense and must be excluded.
4
Calculate Closing Inventory
₦67,200
Closing inventory is computed as 20% of the total cost of goods available for sale (0.20 × ₦336,000).
5
Calculate Cost of Goods Sold
₦268,800
Cost of goods sold is cost of goods available for sale minus closing inventory.
6
Calculate Gross Profit
₦166,200
Gross Profit is Net Sales minus Cost of Goods Sold.

Anahtar Kavram

Trading Account and Gross Profit Calculation
Soru 1160Soru

The following details were extracted from the books of Emeka Ventures for the financial year ended 31st December 2025:

ItemAmount (N\text{N})
Gross profit320,000320,000
Commission received15,00015,000
Rent and rates paid45,00045,000
General expenses28,00028,000
Motor vehicle repairs12,00012,000
Provision for doubtful debts (1st Jan 2025)4,0004,000

Adjustments at 31st December 2025:
- Rent prepaid: N5,000\text{N}5,000
- Provision for doubtful debts is to be adjusted to 5%5\% of Trade Debtors standing at N100,000\text{N}100,000.

What is the Net Profit of Emeka Ventures for the year in Naira?

Cevabı ve açıklamayı göster

Cevap: 254000

Cevap

The net profit of Emeka Ventures for the financial year ended 31st December 2025 is N254,000.
Net profit is obtained by deducting total operating expenses from total operating income. Total income consists of Gross Profit (N320,000) plus Commission received (N15,000), giving N335,000. Adjusted rent expense is N45,000 paid minus N5,000 prepayment, equaling N40,000. The provision for doubtful debts required at the end of the year is 5% of N100,000 = N5,000. Since N4,000 was already provided at the beginning of the year, only the net increase of N1,000 is charged as an expense. Total expenses are N40,000 + N28,000 + N12,000 + N1,000 = N81,000. Deducting N81,000 from N335,000 yields a net profit of N254,000.

Adım Adım Çözüm

1
Calculate total income credited to the Profit and Loss Account
N335,000
Gross profit of N320,000 plus other operating income (Commission received of N15,000) gives total income.
2
Deduct rent prepayment from rent paid
N40,000
Prepayments relate to the next financial period and must be subtracted from current period expenses.
3
Calculate the increase in provision for doubtful debts
N1,000
Required provision is 5% of N100,000 = N5,000. Comparing this with the opening provision of N4,000 gives an increase of N1,000 to be charged to the Profit and Loss Account.
4
Sum total expenses debited to the Profit and Loss Account
N81,000
Total expenses = Adjusted Rent (N40,000) + General expenses (N28,000) + Motor vehicle repairs (N12,000) + Increase in provision for doubtful debts (N1,000).
5
Deduct total expenses from total income to determine Net Profit
N254,000
Net Profit = Total Income (N335,000) - Total Expenses (N81,000).

Anahtar Kavram

Net Profit Determination with Expense Prepayments and Provision Adjustments
ÖncekiSayfa 58 / 77Sonraki
Tüm alıştırma soruları — JAMB UTME | Examkin