Question

A man left 1,30,000 for his two sons aged 10 years and 16 years with
the direction that the sum should be divided in such a way that the two
sons get the same amount when they attain the age of 18 years. Assuming
the rate of simple interest as 12 12 % p.a., calculate how much the elder
son got in the beginning.​

Answer 1

Answer:

ANSWER

Let sum left for the 12 years old and 14 years old sons be Rs. x and Rs. (18750−x) respectively.

Then,

100

x×6×5

+x=

100

(18750−x)×4×5

+(18750−x)

⇒

100

30x

+x=3750−

100

20x

+18750−x

⇒

100

50x

+2x=22500

⇒

100

250x

=22500

⇒x= Rs.

250

22500×100

= Rs. 9000

∴ The sum allotted to the other son is Rs. 9750.