# What will be the Sum? If

The compound interest on a certain sum of money for 2 years at 5% is ₹ 328, then the sum is

- ₹ 3000
- ₹ 3600
- ₹ 3200
- ₹ 3400

**Answer: (3) Rs.3200**

**Explanation:-
**Let be the sum is Rs.X

Formula-

Compound interest = P[(1 + R/100)

^{T}– 1]

Where, P = principal, R = rate, T = time.

According to the question,

X[(1 + 5/100)

^{2}– 1 ] = 328

X[(1 + 1/20)

^{2}– 1] = 328

X[(20 + 1)

^{2}/400 – 1] = 328

X(441 – 400)/400 = 328

41X/400 = 328

X = 328 x 400/41

X = 3200

Hence, the answer is (3) Rs.3200.