A sum of money amounts to Rs. 7719.8 at the rate of 10% compounded annually…

2023

A sum of money amounts to Rs. 7719.8 at the rate of 10% compounded annually for 3 years. The sum of money is

  1. A.

    Rs. 5680

  2. B.

    Rs. 5860

  3. C.

    Rs. 5780

  4. D.

    Rs. 5800

Attempted by 18 students.

Show answer & explanation

Correct answer: D

Explanation:

Let the principal (sum of money) be P.

Amount after n years with compound interest: P × (1 + R/100)^n

Here Amount = 7719.8, R = 10%, n = 3. So:

7719.8 = P × (1.1)^3

Calculate (1.1)^3:

  • 1.1 × 1.1 = 1.21

  • 1.21 × 1.1 = 1.331

So 7719.8 = P × 1.331

Therefore P = 7719.8 ÷ 1.331 = 5800

Hence the sum of money is Rs. 5800.

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