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What Will Rs 125000 Amount to at the Rate of 6%, If the Interest is Calculated After Every 3 Months?

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प्रश्न

What will Rs 125000 amount to at the rate of 6%, if the interest is calculated after every 3 months?

योग
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उत्तर

Because interest is calculated after every 3 months, it is compounded quarterly. 
Given:
P = Rs 125, 000
\[\text{ R }= 6 \%\text{ p . a . }= \frac{6}{4} \%\text{ quarterly }= 1 . 5 % quarterly\]
n = 4
So, 
\[A = P \left( 1 + \frac{R}{100} \right)^n \]
\[ = 125, 000 \left( 1 + \frac{1 . 5}{100} \right)^4 \]
\[ = 125, 000 \left( 1 . 015 \right)^4 \]
 = 132, 670 (approx)
Thus, the required amount is Rs 132, 670.

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