# How Much Sum Borrowed by Man? If

A man borrows money at 3% per annum interest payable yearly and lend it immediately at 5% interest (compound) payable half-yearly and thereby gains ₹ 330 at the end of the year. The sum borrowed is

- ₹ 17000
- ₹ 16500
- ₹15000
- ₹ 16000

**Answer: (4) Rs.16000**

**Explanation:-**

Let be the principal is X.

According to the question,

X(1 + 5/2 x 100)^{2} – X x 3 x 1/100 = 330

X(1 + 1/40)^{2} – 3X/100 + X = 330

X(41/40)^{2} – 103X/100 = 330

(1681X – 1648)1600 = 330

33X = 330 x 1600

X = 16000

Hence, the answer is (4) Rs.16000.