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# Rekha Deposited Rs 16000 in a Foreign Bank Which Pays Interest at the Rate of 20% per Annum Compounded Quarterly, Find the Interest Received by Rekha After One Year. - Mathematics

Numerical

Rekha deposited Rs 16000 in a foreign bank which pays interest at the rate of 20% per annum compounded quarterly, find the interest received by Rekha after one year.

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#### Solution

Given:
P = Rs 16, 000
R = 20 % p. a.
n = 1 year
We know that:
$A = P \left( 1 + \frac{R}{100} \right)^n$
When compounded quarterly, we have:
$A = P \left( 1 + \frac{R}{400} \right)^{4n}$
= Rs $16, 000 \left( 1 + \frac{20}{400} \right)^4$
= Rs $16, 000 \left( 1 . 05 \right)^4$
= Rs 19, 448 . 10
Also,
CI = A - P
= Rs 19, 448 . 1 - Rs 16, 000
= Rs 3, 448 . 10
Thus, the interest received by Rekha after one year is Rs 3, 448.10.

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#### APPEARS IN

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