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A trader cheats at both ends. Buying, he pays for 1 kg but takes away 1080 g; selling, he charges for 1 kg but hands over only 900 g. He buys and sells at the same rate per kilogram. His overall gain percent is:

Competition practiceRatio, Percentage & Commercial Math
  • A20
  • B18
  • C8
  • D16.67

Step-by-Step Solution

Take the rate as ₹1000 per kg. He spends ₹1000 and holds 1080 g; selling that stock at 900 g for every ₹1000 charged brings in = ₹1200, a gain of ₹200 on ₹1000, i.e. 20%. Adding the two cheats (8% while buying, 10% while selling) to get 18% is wrong because the selling cheat acts on the enlarged 1080 g; and 180/1080 = 16.67% measures the surplus against the goods instead of against the money spent. Cheating on only one side would have gained 8%.
Answer: A) 20

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