Question

Anil buys 12 toys and labels each with the same selling price. He sells 8 toys initially at 20% discount on the labeled price. Then he sells the remaining 4 toys at an additional 25% discount on the discounted price. Thus, he gets a total of Rs 2112, and makes a 10% profit. With no discounts, his percentage of profit would have been

• A. 60
• B. 55
• C. 50
• D. 54

Answer 1

Answer: (C)

50

Answer 2

The correct answer is (C): $50$

Let the cost price and marked price of each toy be $c$ and $m$ respectively.

Overall selling price = $8(0.8m)+4\bigg(\frac{3}{4}×0.8m\bigg)$i.e. $8.8$ m.

Given, $110\%$ of $12$ $c$ = $8.8$ m

$⇒ c=\frac{2m}{3}$

∴ Overall $CP$ = $12×\frac{2m}{3}$ i.e. $8$ m

Required profit percentage = $\frac{12m-8m}{8m}×100 = 50\%$