# Rs.3000 Amounts to What in Half of the Time?

If Rs.3000 amounts to Rs.4320 at compound interest in a certain time, then Rs.3000 amounts to what in half of the time?

- Rs.3400
- Rs.3600
- Rs.3800
- Rs.3520

**Answer: (2) Rs.3600**

**Explanation:-
Formula-
**

**Compound Interest = P [(1 + R/100)**

^{t}– 1]**Where, P = principal, R = rate, t = time.**

Let the rate of interest be = R %

Time = T

According to the question,

4320 = 3000(1 + R/100)

^{T}

(1 + R/100)

^{T/2}= (1.44)

^{1/2}= 1.2

In T/2 years principal (Rs.3000) will amount to

3000(1 + R/100)

^{T/2}= 3000 x 1.2

= Rs.3600

Hence, the answer is (2) Rs.3600.