Question

Find the rate of compound interest per annum at which rs. 12500 will amount to rs. 15680 in 2 years

Answer 1

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate}}}$

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Here is your answer
P = Rs 12500
A = Rs 15680
R = r % let
T = 2 years , n = 2

As we know the formula
A = P (1+r/100)^n
$15680 = 12500 \times (1 + \frac{r}{100} ) {}^{2} \\ \frac{15680}{12500} = ( \frac{100 + r}{100} ) {}^{2} \\ \frac{784}{625} = ( \frac{100 + r}{100} ) {}^{2} \\ ( \frac{28}{25} ) {}^{2} = ( \frac{100 + r}{100} ) {}^{2} \\ \frac{28}{25} = \frac{100 + r}{100} \\ 28 \times 100 = 25 \times 100 + 25r \\ 25r = 2800 - 2500 \\ 25r = 300 \\ r \frac{300}{25} \\ r = 12\%$

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Answer 2

I think it helps you