Multiple choice

Mohan earns a profit of 20% on selling a pair of jeans at 15% discount on the printed price. The ratio of the cost price to the printed price of the par of jeans is

  1. 17 : 24

  2. 17 : 34

  3. 16 : 13

  4. 21 : 23

  5. N/A

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A Correct answer
Explanation

Let the printed price be P. The selling price after a 15% discount is 0.85P, and this equals 120% of the cost price. Thus, cost price / printed price = 0.85/1.2 = 17/24.

AI explanation

Let the printed price be 100, making the selling price 85 after the 15 percent discount. Since this selling price yields a 20 percent profit, the cost price is calculated as selling price times 100 divided by 120, which equals 85 times 100 divided by 120 for a cost price of 425 divided by 6. The ratio of the cost price to the printed price is 425 divided by 6 to 100, which simplifies to 425 to 600, resulting in a final ratio of 17 to 24.