# What will be the Sum? If

A sum at simple interest of 13.5% per annum amounts to Rs.3080 in 4 yr. Find the Sum

- Rs. 1550
- Rs. 1680
- Rs. 2000
- Rs. 1850

**Answer: (3) Rs.2000**

**Explanation:-**

Let the sum is Rs.X

Given-

Rate = 13.5 %, Amount = Rs.3080 & time = 4 years

Then, Simple interest = 3080 – X

**Formula-**

**Simple Interest = P x R x T/100**

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

Then,

3080 – X = X x 13.5 x 4/100

3080 – X = X x 135/250

3080 – X = 27 X/50

27 X/50 + X = 3080

(27 X + 50 X) = 3080 x 50

77 X = 154000

X = 154000/77

X = 2000

Hence, the answer is (3) Rs.2000.