Multiple choice

A seller sells an article at Rs. 75 and got profit percent equal to numerical value of its cost price. Find the cost price of article.

  1. 40

  2. 50

  3. 60

  4. 70
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let cost price be x. Profit = Selling Price - Cost Price = 75 - x. Profit percent = (Profit/Cost Price) × 100 = ((75-x)/x) × 100 = x. Solving: x² + 100x - 7500 = 0. Using quadratic formula: x = 50 or x = -150. Rejecting negative value, CP = 50. Verifying: 50% profit on Rs.50 gives Rs.75 selling price.

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