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प्रश्न
Find the principal if the interest compounded annually at the rate of 10% for two years is Rs 210.
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उत्तर
Let the sum be Rs x.
We know that:
CI = A - P
\[ = P \left( 1 + \frac{R}{100} \right)^n - P\]
\[ = P\left[ \left( 1 + \frac{R}{100} \right)^n - 1 \right]\]
\[210 = x\left[ \left( 1 + \frac{10}{100} \right)^2 - 1 \right]\]
\[210 = x\left[ \left( 1 . 10 \right)^2 - 1 \right]\]
\[x = \frac{210}{0 . 21}\]
\[ = 1, 000\]
Thus, the required sum is Rs 1, 000.
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