Question

A man deposited Rs.3,90,300 into the account of his
two sons such that they will get equal money at their
18th birthday. Their ages today are 15 years. And 13
years. Rate of interest is 4% per annum. Find the
money deposited in their account.​

Answer 1

Answer:

Let x and y be the shares of

the two sons.

∴x + y = 3,90,300

⇒ y = (390300 − x)

For the boy of age 13 years,

= 5 years, Rate = 4%, Principal = x

∴Amount after 5 years compounded

annually = + F

H

G I

K x 1 J 4

100

5

.......(i)

For the boy of age 15 years :

Time = 3 years, Principal = 390300 − x

∴Amount after 3 years compounded

annually

= 390300 x 1 4

100

3

− + F

H

G I

K b g J ......(ii)

From (i) & (ii), we get

x 1 4

100

5

+ F

H

G I

K

J = 390300 x 1 4

100

3

− + F

H

G I

K b g J

676

625

x = (390300 − x)

⇒ x = 187500 and y = 390300 − 187500

⇒ y = 20280