Alero Manufacturing Limited, Abeokuta, Ogun State, purchased a chargeable asset on hire purchase in year 2014. The deposit paid for the purchase was N800,000. The balance was to be paid in forty instalments of N75,000. The cash price of the asset was N2,400,000.

Required:

Calculate the capital gains, assuming the asset was sold as detailed below:

(i) For N4,200,000 after payment of thirty instalments. (7 Marks)

(ii) For N4,500,000 after payment of all the instalments. (7 Marks)

(i) Disposal After 30 Instalments

Description Amount (N’000)
Sales Price 4,200
Less: Cost of the Asset
– Deposit 800
– Instalments Paid (30 x N75,000) 2,250
– Less: Interest Element (30 x N35,000) (1,050)
Adjusted Instalment Cost 1,200
Total Cost (2,000)
Capital Gains 2,200

(ii) Disposal After Full Payment

Description Amount (N’000)
Sales Price 4,500
Less: Cost of the Asset
– Deposit 800
– Full Instalments (40 x N75,000) 3,000
– Less: Interest Element (40 x N35,000) (1,400)
Adjusted Instalment Cost 1,600
Total Cost (2,400)
Capital Gains 2,100

Workings on Interest Element

Description Amount (N’000)
Deposit 800
Total Payments by Instalment (40 x N75,000) 3,000
Total Hire Purchase Price 3,800
Less: Cash Price (2,400)
Interest Element 1,400
Number of Instalments 40
Interest per Instalment 35