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In How Much Time Will a Sum of Rs 1600 Amount to Rs 1852.20 at 5% per Annum Compound Interest?

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प्रश्न

In how much time will a sum of Rs 1600 amount to Rs 1852.20 at 5% per annum compound interest?

योग
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उत्तर

\[A = P \left( 1 + \frac{R}{100} \right)^n \]
\[1852 . 20 = 1600 \left( 1 + \frac{5}{100} \right)^n \]
\[\frac{1852 . 20}{1600} = \left( 1 . 05 \right)^n \]
\[ \left( 1 . 05 \right)^n = 1 . 157625\]
\[ \left( 1 . 05 \right)^n = \left( 1 . 05 \right)^3 \]
On comparing both the sides, we get: 
n = 3
Thus, the required time is three years .

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अध्याय 14: Compound Interest - Exercise 14.3 [पृष्ठ २१]

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आर.डी. शर्मा Mathematics [English] Class 8
अध्याय 14 Compound Interest
Exercise 14.3 | Q 24 | पृष्ठ २१

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