# In What Time will Rs.64000 Amount to Rs.68921 at 5% Per Annum, Interest being Compounded Half Yearly?

- 3/2 years
- 5/2 years
- 3 years
- 2 years

**Answer: (1) 3/2 years
Explanation:-**

Let be the time is T years.

According to the question,

68921 = 64000(1 + 5/2 x 100)

^{2T}

68921/64000 = (41/40)

^{2T}

(41/40)

^{3}= (41/40)

^{2T}

Comparing on both side,

2T = 3

T = 3/2 years

Hence, the answer is (1) 3/2 years.