Question

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.​

Answer 1

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%.