Question

A person sells 36 oranges per rupee and incurs a loss of $4\%$. Fine how many oranges per rupee to be sold to have a gain of $8\%$?

• A. 32
• B. 30
• C. 28
• D. 34

Answer 1

The correct option is A 32

The cost price of the oranges in the two cases are equal. Only the selling prices are different and they are $S{P}_1$ and $S{P}_2$ respectively.
By equating the loss and profit percentages keeping the cost price as a constant, we have,
$\frac{S{P}_1}{100-loss\%}=\frac{S{P}_2}{100+profit\%}$
$\frac{\frac{1}{36}}{100-4}=\frac{S{P}_2}{100+8}$
$S{P}_2=\frac{1}{36}\times \frac{108}{96}=\frac{1}{32}$

$\therefore$ The person has to sell 32 oranges per rupee.