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Question : A dishonest dealer sells the goods at a 7% loss on cost price but uses 18% less weight. What is his percentage of profit?(Correct to 2 decimal places)

Option 1: 25.65%

Option 2: 12.82%

Option 3: 28.75%

Option 4: 13.41%


Team Careers360 18th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: 13.41%


Solution : Let the actual weight of the goods be 1 kg or, 1000 gm.
Seller gives 18% less on 1000 = $\frac{82}{100}×1000$ = 820 gm
Let the cost price of each gram be Re. 1.
The cost price of 820 gm = 820
Selling price of 1 kg = 7% of on 1000 = $\frac{93}{100}×1000$ = 930
Profit = 930 – 820 = 110
Profit percentage = $\frac{110}{820}×100=13.41\%$
Hence, the correct answer is 13.41%.

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