Question

21.
18,750 is invested by a man in the
bank account of his two sons whose
ages are 12 years and 14 years in
such a way that they will get equal
amount at the age of 18 years at the
rate 5% per annum. The share of
younger child was :​

Answer 1

Given : Rs. 18750 is invested by a person in the bank account of his two

sons whose ages are 12 years and 14 years in such a way that they

will get equal amount at an age of 18 years at the rate of 5% per

annum

To find : the share of younger child.​

Solution:

Assuming Simpl interest :

Younger Son whose age is 12 year will get interest for 6 years

& elder son for 4 years

Let say Part of 12 year son = Rs P

then Part of 14 year son = 18750 - P

Amount of younger  son  at age of 18 years

= P + P * 5 * 6/100

=  1.3P

Amount of elder son  at age of 18 years

= 18750 - P  +  (18750 - P) * 5 * 4 /100

= (18750 - P)1.2

= 22500 - 1.2P

1.3P = 22500 - 1.2P

=> 2.5P = 22500

=> P = 9000

share of younger child.​ = Rs 9000

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