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      Question

      A dishonest dealer marks up his goods by 50% and then

      gives a discount of 20% on the marked price. Apart from this, he uses a faulty balance which reads 1kg for 900 gm. What is his net profit percentage (rounded off to the nearest integer)?
      A 24 Correct Answer Incorrect Answer
      B 27 Correct Answer Incorrect Answer
      C 36 Correct Answer Incorrect Answer
      D 33 Correct Answer Incorrect Answer

      Solution

      ATQ, Let original cost price of the goods be Rs. 100 He marked his goods at 50% above the cost price, ∴ Marked price of the goods = Rs. 150 He gives a discount of 20% on marked price, ∴ Selling Price = 150 × (80/100) = Rs. 120 ∵ He frauds for 1kg = 900gm  let assume 1kg = 100% and 900gm = 90% so (100% - 90% = 10%) fraud by him ∴ Actual cost price = 100 - (10% of 100) = Rs.90 Profit = SP - CP = 120 - 90 = Rs.30 ∴ Profit percentage = (30/90)x 100 = 33.33% or 33%

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