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By what percent above the cost price must a dealer mark his goods so that, after allowing a discount of 20% on the marked price, he still makes a profit of 25%?

Competition practiceRatio, Percentage & Commercial Math
  • A45
  • B50
  • C56.25
  • D60

Step-by-Step Solution

Take CP = ₹100, so the selling price must be ₹125. The discount leaves 80% of the marked price, so MP × 0.80 = 125 → MP = ₹156.25 — a mark-up of 56.25%. (Adding 20 + 25 = 45% forgets that the 20% is taken off the larger marked price, not off the cost.)
Answer: C) 56.25

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