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₹6,000 के मूलधन पर 10% वार्षिक ब्याज की दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात कीजिए।

March 20, 2026Mathematics

ScanSolve AI Answer

Answer

\text{₹1,260}

3 steps

Identify the given values.
The principal amount $(P)$ is ₹6,000.
The annual rate of interest $(R)$ is $10\%$ .
The time period $(T)$ is 2 years.
Calculate the effective compound interest rate for 2 years.
For two years, the effective compound interest rate can be calculated using the formula:
$R_{effective} = \left(R + R + \frac{R \times R}{100}\right)\%$
Substitute $R = 10\%$ :
$R_{effective} = \left(10 + 10 + \frac{10 \times 10}{100}\right)\%$ $R_{effective} = \left(20 + \frac{100}{100}\right)\%$ $R_{effective} = (20 + 1)\%$ $R_{effective} = 21\%$
Calculate the compound interest.
Compound Interest (CI) is the principal multiplied by the effective rate.
$CI = P \times \frac{R_{effective}}{100}$ $CI = 6000 \times \frac{21}{100}$ $CI = 60 \times 21$ $CI = 1260$
The compound interest is ₹1,260.

The final answer is $\text{₹1,260}$ .

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