Question

By selling 12 oranges for a rupee, a man loses 20%. How many for a rupee should he sell to get a gain of 20%?

• A. $5$
• B. $8$
• C. $10$
• D. $15$

Answer 1

Answer: (B)

$8$

$S.P$. of one orange =rs.$\frac{1}{12}$, Loss $=20/$
$\therefore C.P.=\frac{\frac{1}{12}\times 100}{(100-20)}=\frac{100}{12\times 80}=\frac{5}{48}$
If $Gain$ $=20\%$, then
$S.P.$ = $\frac{5}{48}$+$20\%$ of $\frac{5}{48}$
$\frac{5}{48}+\frac{20}{100}\times \frac{5}{48}=\frac{6}{48}=rs.\frac{1}{8}$ per orange
i.e., the man should sell $8$ oranges for a rupee.