UPSC Prelims 2014·CSAT·Quantitative Aptitude·Arithmetic

If Sohan, while selling two goats at the same price, makes a profit of 10% on one goat and suffers a loss of 10% on the other

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Last updated 23 May 2026, 3:31 pm IST
  1. Ahe makes no profit and no loss
  2. Bhe makes a profit of 1%
  3. Che suffers a loss of 1%Correct
  4. Dhe suffers a loss of 2% .

Explanation

When two articles are sold at the same selling price, and one is sold at a profit of x% and the other at a loss of x%, there is always a net loss. The percentage loss is calculated by the formula (x/10)^2 %. In this case, x = 10% (profit on one goat, loss on the other). Applying the formula: Loss Percentage = (10/10)^2 % = (1)^2 % = 1%. Therefore, Sohan suffers a loss of 1%. Analyzing the options: A) he makes no profit and no loss: This would only be true if the cost prices of both goats were the same, and then one was sold at a profit of 10% and the other at a loss of 10%. However, here the selling prices are the same, which means the cost prices must be different. B) he makes a profit of 1%: This is incorrect, as there is always a loss in such scenarios. C) he suffers a loss of 1%: This is correct based on the calculation. D) he suffers a loss of 2%: This is incorrect.
Quantitative Aptitude: If Sohan, while selling two goats at the same price, makes a profit of 10% on one goat and suffers a loss of 10% on the
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