# What Amount will the Same Sum Becomes in 3 Years?

A sum of ₹ 800 becomes ₹ 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will the same sum becomes in 3 years?

- ₹ 1052
- ₹ 1042
- ₹ 1024
- ₹ 1025

**Answer: (1) Rs. 1052**

**Explanation:-
**A sum of ₹ 800 becomes ₹ 956 in 3 years at a certain rate of simple interest,

Then, the simple interest of three years = 956 – 800

= Rs.156

**Formula-**

Simple Interest = Principal x Time x Rate /100

Simple Interest = Principal x Time x Rate /100

Then, 156 = 800 x 3 x Rate/100

Rate = 156/3 x 8

Rate = 156/24

= 6.5%

If rate of interest is increased by 4%,

Then, the rate of interest = 6.5 + 4 = 10.5%

Now, Simple interest = 800 x 10.5 x 3/100

= 24 x 10.5

= Rs. 252

Then, the amount will be in 3 years = 800 + 252

= Rs. 1052

Hence, the answer is (1) Rs. 1052.