Question

A man has divided his total money in his will in such a way that half of it goes to his wife, $\frac{2}{3}$rd of the remaining among his three sons equally and the rest among his four daughters equally. If each daughter gets $Rs.20,000$, how much money will each son get ?

• A. $Rs.53,333.33$
• B. $Rs.53,000.14$
• C. $Rs.45,333.33$
• D. $Rs.52,000.44$

Answer 1

The correct option is A $Rs.53,333.33$

Let the total money the man had Rs. $x$.

Money gone to wife $=Rs.\frac{x}{2}$

Remaining money $=\frac{x}{2}$

$\therefore$ Sons' share $=\frac{2}{3}$ of $\frac{x}{2}=Rs.\frac{x}{3}$

Each son's share $=\frac{1}{3}$ of Rs $\frac{x}{3}=Rs.\frac{x}{9}$

Daughters' share $=\frac{x}{2}-\frac{x}{3}=\frac{x}{6}$

Each daughter's share $=\frac{1}{4}\times Rs.\frac{x}{6}=Rs.\frac{x}{24}$

Given $\frac{x}{24}=20000\Rightarrow x=Rs.480000$

$\therefore$ Each son's share $=\frac{480000}{9}=Rs.53,333.33$