Q: Which formula correctly calculates the interest expense for each period under the effective interest method in a hire purchase agreement?

$$\text{Interest} = \text{Outstanding Liability at Beginning of Period} \times \text{Implicit Interest Rate}$$

Q: Nkosi Furnishers purchases a machine for E360,000 cash price, pays a deposit of E60,000, and agrees to four half-yearly instalments. If the effective half-year interest rate is 6%, what is the interest expense for the first half-year on the outstanding liability?

$$300,000 \times 6\% = 18,000$$

Question 1

Which of the following statements best describes a hire purchase (HP) agreement?

Accepted Answer

The hirer pays for the asset in instalments and takes possession immediately, but ownership transfers only after the final instalment is paid.

Question 2

Under IFRS, at what value should an asset acquired under a hire purchase agreement be initially recorded in the books of the hirer?

Accepted Answer

At the cash price of the asset

Question 3

Ntombazi Traders acquired a machine for a cash price of E500,000, paying a deposit of E100,000 and the balance in instalments. What is the outstanding liability immediately after the deposit is paid?

Accepted Answer

$$400,000$$

Question 4

Which formula correctly calculates the interest expense for each period under the effective interest method in a hire purchase agreement?

Accepted Answer

$$	ext{Interest} = 	ext{Outstanding Liability at Beginning of Period} 	imes 	ext{Implicit Interest Rate}$$

Question 5

Dube Transport acquires a truck for a cash price of E840,000, pays a deposit of E140,000, and agrees to three annual instalments of E280,000 each at 16% interest. What is the outstanding liability after the deposit is paid?

Accepted Answer

$$700,000$$

Question 6

In the context of hire purchase accounting, why is it important to record interest expense separately from the asset cost?

Accepted Answer

Because the asset must be recorded at its cash price, and interest represents the cost of borrowing, which is expensed over time.

Question 7

Mzimba Logistics acquires a truck for E600,000 cash price, pays a deposit of E120,000, and three annual instalments of E190,000 at 12.5% interest. What is the principal repaid in the first year if the interest for that year is E60,000?

Accepted Answer

$$190,000 - 60,000 = 130,000$$

Question 8

Which of the following best explains the purpose of charging depreciation on an asset acquired under hire purchase?

Accepted Answer

To match the cost of the asset to the periods benefiting from its use, in line with the matching principle.

Question 9

Nkosi Furnishers purchases a machine for E360,000 cash price, pays a deposit of E60,000, and agrees to four half-yearly instalments. If the effective half-year interest rate is 6%, what is the interest expense for the first half-year on the outstanding liability?

Accepted Answer

$$300,000 	imes 6\% = 18,000$$

Question 10

Which ledger entry correctly records the payment of an instalment under a hire purchase agreement?

Accepted Answer

Dr Hire Purchase Creditor, Cr Bank

Question 11

A company acquires machinery for E500,000 on hire purchase, depreciated straight-line over 10 years to nil residual value. What is the annual depreciation expense?

Accepted Answer

$$E50,000$$

Question 12

If the closing balance of the hire purchase creditor account is zero after the final instalment, what does this indicate?

Accepted Answer

All instalments (principal and interest) have been paid and ownership has transferred.

Question 13

Which of the following is NOT a correct step in the accounting treatment for hire purchase transactions?

Accepted Answer

Record the asset at the hire purchase price.

Question 14

A company pays a deposit of E100,000 and three instalments of E160,000, E160,000, and E212,750 for an asset with a cash price of E500,000. What is the total interest paid over the life of the agreement?

Accepted Answer

$$(100,000 + 160,000 + 160,000 + 212,750) - 500,000 = 132,750$$

Question 15

Which of the following best describes the effect of depreciation on the statement of financial position for an asset acquired under hire purchase?

Accepted Answer

It reduces the carrying amount of the asset annually through accumulated depreciation.

Question 16

If a company fails to record the interest expense separately in a hire purchase transaction, what is the likely impact on its financial statements?

Accepted Answer

The asset will be overstated and interest expense understated.

Question 17

Which of the following is the correct formula for calculating annual depreciation using the straight-line method?

Accepted Answer

$$	ext{Annual Depreciation} = \frac{	ext{Cost} - 	ext{Residual Value}}{	ext{Useful Life}}$$

Question 18

A company acquires an asset under hire purchase and charges depreciation annually. Which account is credited when recording the annual depreciation expense?

Accepted Answer

Accumulated Depreciation Account

Question 19

Which of the following best describes the matching principle as applied to depreciation in hire purchase accounting?

Accepted Answer

Depreciation allocates the cost of the asset to the periods in which it helps generate revenue.

Question 20

If the implicit interest rate on a hire purchase agreement is 15% per annum and the outstanding liability at the start of the year is E300,000, what is the interest expense for that year?

Accepted Answer

$$300,000 	imes 15\% = 45,000$$

Accounting for Hire Purchase Transactions: Concepts, Ledger Entries, and Worked Examples

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