# What will be the Rate Percent per Annum? If

Find the rate percent per annum, if Rs.2000 amount to Rs.2315.25 in an year and half, interest being compounded half yearly:

- 20%
- 11.5%
- 5%
- 10%

**Answer: (4) 10%
**

**Explanation:-**

If the compounded is half yearly then, time goes double and rate comes half.

2315.25 = 2000(1 + R/2)

^{nt}

2315.25 = 2000(1 + R/2)

^{2 x 1.5 }2315.25/2000 = (1 + R/2)

^{3}

1.157 = ( 1+ R/2)

^{3}

1 + R/2 = 1.05

R/2 = 0.05

R = 2 x 0.05

R = 0.1

Rate of interest = 0.1/100

= 10%

Hence, the answer is (4)