Multiple choice

The ratio of cost price and marked price of a cell phone is 2 : 3 and ratio of profit percentage and discount percentage is 3 : 2. What is the discount percentage?

  1. 8%

  2. 12%

  3. 16.66%

  4. 19.5%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

CP/MP = 2/3. Let CP = 200, MP = 300. Profit% / Discount% = 3/2. Profit = SP - 200. Discount = 300 - SP. (SP-200)/200 / (300-SP)/300 = 3/2. Solving gives SP = 250. Discount = 50. Discount% = 50/300 = 16.66 percent.

AI explanation

Let the cost price be Rs. 200 and the marked price be Rs. 300. The ratio of profit percentage to discount percentage is 3 : 2, so let the profit be 3x and the discount be 2x. The selling price based on cost price and profit is 200 + (3x% of 200), and based on marked price and discount is 300 - (2x% of 300). Equating the two gives 200 + 6x = 300 - 6x, which simplifies to 12x = 100, so x = 8.33. The discount percentage is 2x, which is 16.66%. The answer is 16.66%.

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