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

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.​

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Audrey 2 weeks 2021-09-11T05:38:08+00:00 1 Answer 0 views 0

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    2021-09-11T05:39:32+00:00

    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%.

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