## a sum of money lent at simple interest amount ₹783 in two years and to ₹837 in 3 years. find the sum and the rate percent per annum.

Question

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## Answers ( )

Answer:Sum is Rs. 675 and Rate of interest = 8%.Step-by-step explanation:Since we have given that

Amount in 2 years = Rs. 783———(1)

Amount in 3 years = Rs. 837———–(2)

Subtract (2) – (1), we get that

837-783= Rs. 54837−783=Rs.54

So, Simple Interest in (3-2=1) yr = Rs. 54

Simple interest in 2 years is given by

54\times 2=Rs. 10854×2=Rs.108

so, Principal will be

$$\begin{lgathered}783-108\\\\=Rs. 675\end{lgathered}$$

Now, we will find “Simple Interest “

$$\begin{lgathered}108=\frac{675\times R\times 2}{100]\\\\R=8\%\end{lgathered}$$

Hence, Sum is Rs. 675 and Rate of interest = 8%.