Gopi invested Rs. X in scheme A at rate of 15% p.a. for two years. The amount…

2025

Gopi invested Rs. X in scheme A at rate of 15% p.a. for two years. The amount received by Gopi from scheme A is reinvest in scheme B at the rate of 10% p.a. for two years on compound interest. If the difference between interest received from A and B is 32.4, then find X?

  1. A.

    1500 Rs.

  2. B.

    1200 Rs

  3. C.

    1000 Rs.

  4. D.

    1800 Rs.

  5. E.

    800 Rs.

Attempted by 4 students.

Show answer & explanation

Correct answer: B

Interest from scheme A = 15% x 2 x X = 0.30X, so the amount reinvested is 1.30X. Compound interest for two years at 10% on 1.30X is 1.30X x (1.21 - 1) = 0.273X. Difference = 0.30X - 0.273X = 0.027X = 32.4, so X = 1200.

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