Question

Radha spends $40\%$ of her salary on food, $20\%$ on house rent, $10\%$ on entertainment and $10\%$ on conveyance. If her savings at the end of a month are Rs $1500$, then what is her monthly salary?

• A. Rs. $8500$
• B. Rs. $7000$
• C. Rs. $8000$
• D. Rs. $7500$

Answer 1

The correct option is D Rs. $7500$

Let Radha's monthly salary be Rs $x$.
Then, from the given data we can write

$40\%$ of $x+20\%$ of $x+10\%$ of $x+10\%$ of $x+$ Rs $1500=x$

$\Rightarrow \frac{40}{100}\times x+\frac{20}{100}\times x+\frac{10}{100}\times x+\frac{10}{100}\times x+$ Rs $1500=x$

$\Rightarrow \frac{80x}{100}+$ Rs $1500=x\Rightarrow x-\frac{4x}{5}=$ Rs $1500$

$\Rightarrow \frac{x}{5}=$ Rs $1500\Rightarrow x=1500\times 5=$ Rs $7500$