Question

A reduction of $20\%$ in the price of oranges enables a man to buy $20$ oranges more for Rs. $40$. The price per orange before reduction was

• A. $20$ paise
• B. $40$ paise
• C. $50$ paise
• D. $60$ paise

Answer 1

Answer: (C)

$50$ paise

Let the cost price per orange be Rs. $x$

Number of oranges he can purchase for Rs. $40$ with the actual price of oranges

$=\frac{40}{\frac{80x}{100}}=\frac{40}{\frac{4x}{5}}$

$=\frac{50}{x}$

Therefore, $\frac{50}{x}-\frac{40}{x}=20$

$\Rightarrow \frac{10}{x}=20$

$\Rightarrow x=\frac{1}{2}=0.5$

THus, the price per orange before reduction was $50$ paise.