Question

By selling an article for $Rs.225$, the shopkeeper losses $25\%$. Find the $\%$ gain or loss , if be article be sold for $Rs.360$.

• A. $20\%$ gain
• B. $20\%$ loss
• C. $10\%$ loss
• D. $10\%$ gain

Answer 1

The correct option is A $20\%$ gain

Let the cost price be $Rs.100$

After selling, at loss of $25\%$, selling price $=Rs.75$
If the selling price is $Rs.75$, then cost price $=Rs.100$
If the selling price is $Rs.225$, then cost price $=Rs.\frac{100}{75}\times 225=Rs.300$
$\therefore$ Cost price $=Rs.300$

Gain $=$ S.P $-$ C.P $=Rs.360-300=Rs.60$
Gain $=\frac{60}{300}\times 100=20\%$

Hence, option A.