Question

Mala gave Rajiv 9000 at the rate of 5% per annum and received 90 as

interest. For how long was Mala’s money kept with Rajiv?​

Answer 1

➤ Given:

Mala gave Rajiv:-

◉ Principal = Rs. 9000

◉ Rate = 5 %

◉ Simple Interest = Rs. 90

➤ What To Find:

We have to find the time or duration for how long Mal's money kept with Rajiv.

➤ Formula Needed:

$\frak {Simple \: Interest = \dfrac{Principal \times Rate \times Time}{100}}$

➤ Solution:

Using the formula,

$\rm { \implies Simple \: Interest = \dfrac{Principal \times Rate \times Time}{100}}$

Substitute the values,

$\rm { \implies 90 = \dfrac{9000 \times 5 \times Time}{100}}$

Cancel the zeros,

$\rm { \implies 90 = 90 \times 5 \times Time}$

Multiply 90 by 5,

$\rm { \implies 90 = 450 \times Time}$

Take 90 to RHS and Time to LHS,

$\rm { \implies Time = \dfrac{450}{90}}$

Cancel the zeros,

$\rm { \implies Time = \dfrac{45}{9}}$

Divide 45 by 9,

$\rm { \implies Time = 5 \: years}$

∴ Thus, Mala's money was kept with Rajiv for 5 years.