Question

A shopkeeper purchased $300$ pens and sold one out of four pens at no loss or profit. He sold the remaining pens at a profit of $20\%$. What is his overall profit or loss per cent on the whole transaction?

• A. $15\%$ profit
• B. $15\%$ loss
• C. $12\%$ profit
• D. $12\%$ loss

Answer 1

The correct option is A $15\%$ profit

Pens sold at no loss or no profit $=\frac{300}{4}=75$
Pens sold at 20% profit $=225$
Let CP of one pen $=Rs.1$
CP of 225 pens $=Rs225$
SP of 225 pens $=\left(\frac{100+20}{100}\right)\times 225=\frac{120}{100}\times 225$
$=Rs270$
Total CP$=Rs300$
Total SP $=270+75=Rs345$
Profit % $=\frac{45}{300}\times 100=15$.