Question

A sum of Rs. 18750 is left by will by a father to be divided between two sons, 12 and 14 years of age. so that when they attain maturity at 18, the amount received by each of them at 5 percent simple interest will be the same. Find the sum allotted at present to each son?

A) Rs. 9500, Rs. 9250
B) Rs. 8000, Rs. 1750
C) Rs. 9000, Rs. 9750
D) R.s 10000, Rs. 9750

Answer 1

• C) Rs. 9000, Rs. 9750

Explanation:

Let the sum allotted is x and 18750 - x.

Interest rate is 5%.

The interest amount is:

• (18 - 12)*5% = 30% and
• (18 - 14)*5% = 20%

We have equation below to compare final amounts:

• x + 30% = (18750 - x) + 20%
• 1.3x = 1.2(18750 - x)
• 1.3x = 22500 - 1.2x
• 1.3x + 1.2x = 22500
• 2.5x = 22500
• x = 22500/2.5
• x = 9000

Correct choice is C