Question

A person sells $36$ oranges per rupee and suffers a loss of $4$% Find how many oranges should be sold per rupee to have a gain of $8$%.

• A. $32$
• B. $40$
• C. $30$
• D. $28$

Answer 1

The correct option is A $32$

CP of $6$ oranges at 4% loss = $\frac{1\times 100}{96}=\frac{100}{96}=\frac{25}{24}$
SP at $8$% gain = $\frac{25}{24}\times \frac{108}{100}=\frac{9}{8}$
Rs. $\frac{9}{8}$ is the SP of $36$ oranges.
Rs. $1$ is the SP of $\frac{36}{9}\times 8$ = $32$ oranges.