Question

Mr. Sharma left one-third of his property to his son, one-fourth to his daughter and remainder to his wife. If his wife's share is $Rs.18,000$, what was the worth of his total property?

• A. Rs. $43,100$
• B. Rs. $43,200$
• C. Rs. $43,300$
• D. Rs. $43,400$

Answer 1

The correct option is B Rs. $43,200$

Let the total property was of Rs. $x$.

Then his son's share Rs. $\frac{x}{3}$ and his daughter's share $\frac{x}{4}$ and his wife's share $x-\frac{x}{3}-\frac{x}{4}=\frac{5x}{12}$.

According to the problem,

$\frac{5x}{12}=18,000$

or, $x=43,200$.

So total property worth was of Rs. $43,200$.