Question

A man wants to divide a sum of Rs $37500$ among his son and daughter aged $12$ years and $14$ years respectively in such a way that on attaining the age of $18$ years each gets the same amount at $5\%$ p.a. simple interest. The son's share is :

• A. Rs $19500$
• B. Rs $18000$
• C. Rs $20000$
• D. Rs $19000$

Answer 1

Answer: (B)

Rs $18000$

Let the son's shall be $x$

$⟹$daughter's=$(37500-x)$

Amount received by the son on turning $18$,

$=x+$ $\frac{x\times 6\times 5}{100}=13x/10$

Amount received by the daughter on turning $18$,

$=(37500-x)+$ $\frac{(37500-x)\times 5\times 4}{100}=\frac{(37500-x)6}{5}$

Now,$\frac{13x}{10}=\frac{(37500-x)6}{5}$

On solving for $x$ we get $x=18,000$.