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Comprehension:

Answer the questions from based on following paragraph

Preeti, Kabir and Shershah are partners in a firm. Kabir retires from the firm. On his date of retirement, Rs. 1,00,000 became due to him. Preeti and Shershah promised to pay him in four yearly equal installments plus interest @ 12% p.a. on the unpaid balance every year at the end of the year, to which he agreed.

The amount of interest payable at the end of fourth year will be

Solution

✅ Correct Option: 3

The total amount due to Kabir is Rs. 1,00,000, which will be paid in 4 equal yearly installments.

Equal installment = 1,00,0004\frac{1,00,000}{4} = Rs. 25,000

Interest is charged on the unpaid balance at the end of each year. Let's trace the unpaid balance:

At the end of Year 1:

  • Unpaid balance after paying Rs. 25,000 = 1,00,000 - 25,000 = Rs. 75,000

At the end of Year 2:

  • Unpaid balance after paying Rs. 25,000 = 75,000 - 25,000 = Rs. 50,000

At the end of Year 3:

  • Unpaid balance after paying Rs. 25,000 = 50,000 - 25,000 = Rs. 25,000

At the end of Year 4:

  • Opening unpaid balance = Rs. 25,000
  • Interest on Rs. 25,000 @ 12% p.a. = 25,000×1210025,000 \times \frac{12}{100} = Rs. 3,000

After this payment and the final installment of Rs. 25,000, Kabir's account will be fully settled.

The amount of interest payable at the end of fourth year = Rs. 3,000

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