What will be compound interest on a sum (In ₹) of ₹ 25000 after 3 years at rate of 12 % per annu

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6.Interest

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What will be the compound interest on a sum (In ₹) of ₹ $25000$ after $3$ years at the rate of $12 \%$ per annum?

A

$9000.30$

B

$9720$

C

$10123.20$

D

$10483.20$

Solution

C.I. after 3 years $=25000\left[\left(1+\frac{12}{100}\right)^{3}-1\right]=25000\left[\left(\frac{28}{25}\right)^{3}-1\right]$

$=\frac{25000}{25^{3}}\left(28^{3}-25^{3}\right)=\frac{40}{25}(28-25)\left(28^{2}+25^{2}+28 \times 25\right)$

$=\frac{40 \times 3}{25}(784+625+700)=\frac{24}{5} \times 2109$

$=4.8 \times 2109=₹ 10123.20$

Standard 13

Quantitative Aptitude

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