Multiple choice

The selling price of 12 pens is equal to the cost price of 15 pens . If the selling price is increased by 10% , then what would be the profit % on selling one pen ?

  1. 25%

  2. 27.5%

  3. 35%

  4. 37.5%

  5. 42.5%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP of 1 pen be 1. SP of 12 = CP of 15 = 15, so SP of 1 pen = 15/12 = 1.25. Increasing SP by 10% gives 1.25 * 1.1 = 1.375. The profit is 0.375, which is 37.5%.

AI explanation

Let the cost price of one pen be 1 rupee, making the cost price of 15 pens equal to 15 rupees. Since the selling price of 12 pens equals the cost price of 15 pens, the selling price of 12 pens is 15 rupees, meaning the original selling price of one pen is 15 divided by 12, which is 1.25 rupees. The question states the selling price is increased by 10 percent, making the new selling price 1.10 times 1.25, which equals 1.375 rupees. Using the profit percentage formula, the profit is ((1.375 minus 1) divided by 1) multiplied by 100, resulting in a profit of 37.5 percent.

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