Question

A man gives $40\%$ of his money to his children and $20\%$ of the remaining to a trust. If he is still left with Rs.$9,600$, then what did he originally have?

• A. Rs.$14,000$
• B. Rs.$20,000$
• C. Rs.$19,845$
• D. Rs.$25,409$

Answer 1

Answer: (B)

Let $x$ be the money he originally had.

The money he gave to his children = $x\times \frac{40}{100}=0.4x$

The money he gave to trust = $(x-0.4x)\times \frac{20}{100}=0.12x$

The money he left with = $x-0.4x-0.12x=0.48x$

$0.48x=9600$

$x=\frac{9600}{0.48}=Rs.20,000$

$\therefore$ He is left with $Rs.20,000$. $\left[C\right]$