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
- A.
Rs. 5680
- B.
Rs. 5860
- C.
Rs. 5780
- 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.