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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 dues of Kabir is to be paid in 4 yearly installment.The amount of each installment will be

Solution

✅ Correct Option: 2

Total amount due to Kabir = Rs. 1,00,000

Number of yearly installments = 4

Since the installments are equal, the amount of each installment is calculated by dividing the total dues by the number of installments.

Amount of each installment = Total DuesNumber of Installments\frac{\text{Total Dues}}{\text{Number of Installments}}

Amount of each installment = 1,00,0004\frac{1,00,000}{4} = Rs. 25,000


Important Note: The interest @ 12% p.a. is charged separately on the unpaid balance and is paid in addition to the installment. The question asks only for the installment amount, not the total payment (installment + interest).

For example:

  • At the end of Year 1: Interest on Rs. 1,00,000 = Rs. 12,000 will be paid along with the installment of Rs. 25,000 (Total payment = Rs. 37,000)
  • At the end of Year 2: Interest on Rs. 75,000 = Rs. 9,000 will be paid along with the installment of Rs. 25,000 (Total payment = Rs. 34,000)

And so on for the remaining years.

Answer: Option 2: Rs. 25,000

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