Question

a) Rothinbabu deposits the money for each of his two daughters in such a way that when the ages of each of his daughters will be 18 yrs. each one will get Rs. 1,20,000. The rate of simple interest per annum in the bank is 10% and the present ages of his daughters are 13 yrs. and 8 yrs. respectively. Then find he had deposited separately in the bank for each of his daughters. ​

Answer 1

Answer:

Given :-

• Rothinbabu deposits the money for each of his two daughters in such a way that when the ages of each of his daughters will be 18 yrs. each one will get Rs. 1,20,000. The rate of simple interest per annum in the bank is 10% and the present ages of his daughters are 13 yrs. and 8 yrs. respectively.

Find Out :-

• Then find he had deposited separately in the bank for each of his daughters.

Solution :-

Let the deposited money for elder daughter ( Age 13 years ) is Rs. x.

Interest of Rs. x at 5% of interest rate of (18 - 13) 5 years.

$\Rightarrow$ $Rs. \dfrac{x × 5 × 10}{100}$

$\Rightarrow$ $\dfrac{x}{2}$

Amount :-

$\Rightarrow$ $Rs. {x} + \dfrac{x}{2}$

$\Rightarrow$ $\dfrac{3x}{2}$

According to the question,

$\Rightarrow$ $\dfrac{3x}{2} = Rs. 120000$

$\therefore$ $x = \dfrac{120000 × 2}{3}$

$\Rightarrow$ $Rs. 80,000$

Let the deposited money for younger daughter ( Age 3 years ) is Rs. y.

Simple Interest of y Rs. at 10% Interest rate of (18 - 8) 10 years.

$\Rightarrow$ $\dfrac{y × 10 × 10}{100}$

$\Rightarrow$ $y Rs.$

Amount :-

$\Rightarrow$ $y + y$

$\Rightarrow$ $2y$

According to the question,

$\Rightarrow$ $2y = 120000$

$\therefore$ $y = \dfrac{120000}{2}$

$\Rightarrow$ $Rs. 60000$

$\therefore$ He had deposited separately in the bank for each other of his daughters is Rs. 80,000 and 60,000 respectively.