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

Updated On: Sep 17, 2024
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The Correct Option is C

Solution and Explanation

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 = \(\frac{12m-8m}{8m}×100 = 50\%\)

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