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Profit, Loss & Discount · Question 29 of 72

Question 29

HardOriginal question

A grain dealer cheats at both ends. When buying, he takes 1,200 g for every kilogram he pays for. When selling, he gives only 800 g for every kilogram he charges for. He buys and sells at the same price per kilogram. What is his gain percentage?

Options for question 29

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Say the rate is ₹1 per kg. For ₹1 he gets 1,200 g, so 1 g costs him ₹1/1200.

  2. For 800 g he collects ₹1, but 800 g cost him 800/1200800/1200 = ₹2/3.

  3. Gain % = 1−2323×100=50%\frac{1 - \frac{2}{3}}{\frac{2}{3}} \times 100 = 50\%.

Worth noting

Adding 20%+20%20\% + 20\% gives 40%, and 1.2×1.21.2 \times 1.2 gives 44%. The right factor is 1200÷800=1.51200 \div 800 = 1.5.

Concept
Dishonest dealer cheating while buying and selling
Typical time
100 s
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