Rothinbabu deposits the money for each of his two daughters in such a way that when the age of each of his daughters will be 18 years, each one will get ₹ 1,20,000. The rate of simple interest per annum in the bank is 10 % and the present ages of his daughters are 13 years and 8 years respectively. Let us determine the money he had deposited separately in the bank for each of his daughters

Let Rathin babu deposited ₹ x for his 1st daughter (13 yrs old) and he deposited ₹ y for his 2nd daughter ( 8 yrs old).

When his 1st daughter will be 18 yrs, old i.e., after (18 – 13) =5 years

Her amount = x+\frac{x × 5 × 10}{100}=120000

or, \frac{10 x × 5 x}{10}=120000

or, 15 x = 120000 × 10

or, x=\frac{1200000}{15}=80,000

When his 2nd daughter will be 18 years old, i.e., after (18 – 8) = 10 years

\text { Her amount }=y+\frac{y × 10 × 10}{100}=2 y \\

\therefore 2y = 120000

y = 60000