Question

On selling an article for $\text{Rs.}48$, a shopkeeper loses $20\%$. In order to gain $20\%$, what would be the selling price?

• A. $\text{Rs.}52$
• B. $\text{Rs.}56$
• C. $\text{Rs.}68$
• D. $\text{Rs.}72$

Answer 1

The correct option is D $\text{Rs.}72$

Let the cost price of the article be $\text{Rs. x}$

Loss $\%=20\%$ of the cost price

$⟹$ Loss$=\frac{20}{100}\text{x}$

$\because$ Loss$=$Cost price$-$Selling price

$⟹\frac{20}{100}\text{x}=\text{x}-48$

$⟹\text{x}-\frac{20}{100}\text{x}=48$

$⟹\frac{80}{100}\text{x}=48$

$⟹\text{x}=\frac{48}{80}\times 100=60$

$⟹$ Cost price $=\text{Rs.}60$

Required: $20\%$ gain of the cost price

$⟹$ Gain$=\frac{20}{100}\times 60=\text{Rs.}12$

$\therefore$ Selling price$=$Gain$+$Cost price$=12+60=\text{Rs.}72$