Question

A man leaves half his property to his wife, one third of his son and the remaining to his daughter. If the daughter's share is Rs. $15,000$. How much money did the man leave? How much money did his wife get and what is his son's share?

• A. Now, share of wife $=$ Rs 25,000
  and share of son $=$ Rs. 40,000
• B. Now, share of wife $=$ Rs. 65,000
  and share of son $=$ Rs. 30,000
• C. Now, share of wife $=$ Rs. 33,000
  and share of son $=$ Rs. 20,000
• D. Now, share of wife $=$ Rs. 45,000
  and share of son $=$ Rs. 30,000

Answer 1

The correct option is D Now, share of wife $=$ Rs. 45,000

and share of son $=$ Rs. 30,000
Let the total money of the man be Rs. $x$.
Money got by wife $=$ Rs. $\frac{x}{2}$
Money got by son $=$ Rs. $\frac{x}{3}$
Money got by daughter $=$ Rs. $15,000$
$x-(\frac{x}{2}+\frac{x}{3})=15000⟹\frac{6x-3x-2x}{6}=15000⟹\frac{x}{6}=15000$

$x=90,000$
Therefore, total money that man leaves is Rs. $90,000$.
Now, share of wife Rs. $\frac{x}{2}$ = Rs $\frac{90000}{2}$ $=$ Rs. $45,000$.
and share of son $=$ Rs. $\frac{x}{3}$ $=$ Rs $\frac{90000}{3}$ $=$ Rs. $30,000$.