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Find the Compound Interest on Rs 15625 for 9 Months, at 16% per Annum, Compounded Quarterly. - Mathematics

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प्रश्न

Find the compound interest on Rs 15625 for 9 months, at 16% per annum, compounded quarterly.

योग
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उत्तर

Given: 
P = Rs 15, 625
\[R = 16 \% = \frac{16}{4} = 4 \% \text{ quarterly }\]
n = 9 months = 3 quarters
We know that: 
\[A = P \left( 1 + \frac{R}{100} \right)^n \]
 = Rs \[15, 625 \left( 1 + \frac{4}{100} \right)^3 \]
 = Rs \[15, 625 \left( 1 . 04 \right)^3 \]
 = Rs 17, 576
Also, 
CI = A - P
 = Rs 17, 576 - Rs 15, 625
 = Rs 1, 951
Thus, the required compound interest is Rs 1, 951.

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अध्याय 14: Compound Interest - Exercise 14.2 [पृष्ठ १५]

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आरडी शर्मा Mathematics [English] Class 8
अध्याय 14 Compound Interest
Exercise 14.2 | Q 14 | पृष्ठ १५

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