Question

12. The simple interest on a certain sum of money
for 3 years at 10 % per annum is 1659. Find
the sum.​

Answer 1

Answer:

The simple interest on a certain sum for 3 years at 10% per annum is 1659, then sum is 5530

Step-by-step explanation:

Given that, the simple interest on a certain sum for 3 years at 10% per annum is 1659.

Let assume that sum invested be Rs P.

We have

Rate of interest, r = 10 % per annum

Time period, n = 3 years

Simple interest, SI = 1659

We know,

Simple interest received on a certain sum of money of Rs P invested at the rate of r % per annum for n years is given by

$\qquad\boxed{ \sf{ \: \because \: SI \: = \: \dfrac{P \times r \times n}{100} \: }}$

So, on substituting the values, we get

$\sf \: 1659 = \dfrac{P \times 10 \times 3}{100}$

$\sf \: P = \dfrac{1659 \times 100 }{10 \times 3}$

$\sf \: P = \dfrac{16590 }{10 \times 3}$

$\sf \: P = \dfrac{16590}{3}$

$\sf\implies \sf \: P = \: 5530$

Hence,

The simple interest on a certain sum for 3 years at 10% per annum is 1659, then sum is 5530