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A certain sum invested at 10% p.a. simple interest amounts to ₹9,417 in 4 years 4 months. What will be the amount of the same sum at 121⁄2%…

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A certain sum invested at 10% p.a. simple interest amounts to ₹9,417 in 4 years 4 months. What will be the amount of the same sum at 121⁄2% p.a. in 22⁄5 years at simple interest?

  • A₹8,641
  • B₹8,531
  • C₹8,541
  • D₹8,631
Correct answer: C

Explanation

4 years 4 months = 13/3 years. Amount = P(1 + 0.1 × 13/3) = P × 43/30 = 9417, so P = 6570. At 12.5% for 2 2/5 years, interest = 6570 × 0.125 × 2.4 = 1971 and the amount = ₹8,541.

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