Question

find the sum which in 5 years at the rate of 5%per annum simple interest anounts to 875​

Answer 1

Given :-

$\sf \: Time = 5 \: yrs \\ \sf \: Rate = 5\% \: p.a \\ \sf \: Amount = Rs. \: 875$

To calculate :-

$\sf \: Sum \: (Principal) = \: \: ?$

Let the principal be n.

then,

${ \bf{ \frac{n \times 5 \times 5}{100} = 875 - n}} \\ \bf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{n}{4} = 875 - n \\ \bf \: \: \: \: \: \: \: \frac{n}{4} + n = 875 \\ \bf \: \: \: \: \: \: \: \: \: \: \: \: \frac{5n}{4} = 875 \\ \bf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: n = \frac{875 \times 4}{5} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: n = 175 \times 4 = 700$

Hence, ₹ 700 will amount to ₹875 in 5 yrs

at the rate of 5% per annum.