# Roma Borrowed Rs 64000 from a Bank for 1 1 2 Years at the Rate of 10% per Annum. Compute the Total Compound Interest Payable by Roma After 1 1 2 Years, If the Interest is Compounded Half-yearly. - Mathematics

Numerical

Roma borrowed Rs 64000 from a bank for $1\frac{1}{2}$ years at the rate of 10% per annum. Compute the total compound interest payable by Roma after $1\frac{1}{2}$  years, if the interest is compounded half-yearly.

#### Solution

Given:
P = Rs 64, 000
R = 10 % p . a .
n = 1 . 5 years
Amount after n years:
$A = P \left( 1 + \frac{R}{200} \right)^{2n}$
$= 64, 000 \left( 1 + \frac{10}{200} \right)^3$
$= 64, 000 \left( 1 . 05 \right)^3$
= Rs 74, 088
Now,
CI = A - P
= Rs 74, 088 - Rs 64, 000
= Rs 10, 088
Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 14 Compound Interest
Exercise 14.1 | Q 7 | Page 5

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