Peter Borrows ₹ 12,000 for 2 Years at 10% P.A. Compound Interest. He Repays ₹ 8,000 at the End of the First Year. Find: (i) the Amount at the End of the First Year, before Making - Mathematics

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Sum

Peter borrows ₹ 12,000 for 2 years at 10% p.a. compound interest. He repays ₹ 8,000 at the end of the first year. Find:

  1. the amount at the end of the first year, before making the repayment.
  2. the amount at the end of the first year, after making the repayment.
  3. the principal for the second year.
  4. the amount to be paid at the end of the second year, to clear the account.
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Solution

Sum borrowed = ₹ 12000

Rate (R) = 10% p.a. compound annually

Time (T) = 2 years

Interest for the first year =`"PRT"/100`

`=(12000xx10xx1)/100`

= ₹ 1200

(i) Amount = ₹ 12,000 + 1,200 = ₹ 13,200

Amount paid = ₹ 8,000

(ii) balance amount = ₹ 13,200 − 8,000 = ₹ 5,200

(iii) ∴ Principal for the second year = ₹5,200

(iv) Interest for the second year = `(5200xx10xx1)/100`

= ₹ 520

∴ Amount = ₹ 5200 + 520 = ₹ 5720

  Is there an error in this question or solution?
Chapter 9: Interest - Exercise 9 (C) [Page 114]

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Selina Concise Mathematics Class 8 ICSE
Chapter 9 Interest
Exercise 9 (C) | Q 16 | Page 114
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