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Percentages - Quant/Math - CAT 2013

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Question 4 the day: February 26, 2003

The question for the day is from the topic of Percantages.
If the cost price of 20 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?

(1) 20% Profit (2) 25% Loss
(3) 25% Profit (4) 33.33% Loss
Correct Answer - (3)
Solution:


Let Cost price of 1 article be Re.1.

Therefore, Cost price of 20 articles = Rs. 20.

Selling price of 16 articles = Rs. 20

Therefore, Selling price of 20 articles = (20/16) * 20 = 25

Profit = Selling price - Cost price

= 25 - 20 = 5

Percentage of profit = Profit / Cost price * 100.

= 5 / 20 * 100 = 25% Profit


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