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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.

Net Amount of installment payable at the end of 2nd year to Kabir is

Solution

✅ Correct Option: 2

The total amount due to Kabir = Rs. 1,00,000

This will be paid in 4 equal yearly installments, so:

Principal amount per installment = 1,00,0004\frac{1,00,000}{4} = Rs. 25,000


At the end of Year 1:

Opening balance = Rs. 1,00,000

Interest @ 12% = 1,00,000×121001,00,000 \times \frac{12}{100} = Rs. 12,000

Principal installment = Rs. 25,000

Total payment = Rs. 25,000 + Rs. 12,000 = Rs. 37,000

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


At the end of Year 2:

Opening balance = Rs. 75,000

Interest @ 12% on unpaid balance = 75,000×1210075,000 \times \frac{12}{100} = Rs. 9,000

Principal installment = Rs. 25,000

Total payment at end of Year 2 = Rs. 25,000 + Rs. 9,000 = Rs. 34,000

The interest keeps reducing each year because it is calculated only on the unpaid balance (which reduces as installments are paid).

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