Question

Hariti invested a certain sum of money for 3/2 years at the rate 15% per annum compounded six-monthly.at the end 3/2years she receives a compound interest of Rs.1891.50 find the sum invested by hariti.

Answer 1

Answer: Rs. 1244.40

Step-by-step explanation:

Let the sum be X

we know that

CI = A-P

Time = 3/2 years = 1.5 years

Conmpounded six monthly , so the time will be 1.5 years = 3 times

n= 3

So,

A = P ( 1+ R /100) ⁿ

1891.50= x ( 1 + 15/100)³

1891.50 = x ( 115 / 100)³

1891.50 = x ( 1.15 )³

1891.50 = x (1.52)

1891.50 / 1.52 = x

1244.40 = x

So the sum invested by hariti will be Rs. 1244.40