# Find the Amount and the Compound Interest on Rs 8000 for 1 1 2 Years at 10% per Annum, Compounded Half-yearly. - Mathematics

Sum

Find the amount and the compound interest on Rs 8000 for $1\frac{1}{2}$ years at 10% per annum, compounded half-yearly.

#### Solution

Given:
P = Rs 8, 000
R = 10 % p . a .
n = 1 . 5 years
When compounded half - yearly, we have:
$A = P \left( 1 + \frac{R}{200} \right)^{2n}$
$=\text{ Rs }8, 000 \left( 1 + \frac{10}{200} \right)^3$
$=\text{ Rs }8, 000 \left( 1 . 05 \right)^3$
= Rs 9, 261
Also,
CI = A - P
= Rs 9, 261 - Rs 8, 000
= Rs 1, 261

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 14 Compound Interest
Exercise 14.2 | Q 8 | Page 15