Multiple choice

The selling price of 15 items equals the cost of 20 items. What is the percentage profit earned by the seller?

  1. 15

  2. 20

  3. 25

  4. 33.3

  5. 40

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP of 1 item be 1. CP of 20 items = 20. SP of 15 items = 20. SP of 1 item = 20/15 = 4/3. Profit = (4/3 - 1) / 1 = 1/3 = 33.33%.

AI explanation

Let the cost price of one item be Re 1, so the cost of 20 items is Rs 20. The selling price of 15 items equals the cost of 20 items, meaning 15 items are sold for Rs 20, making the selling price per item 20/15 = 4/3. The profit per item is 4/3 - 1 = 1/3. Using the profit percentage formula: Profit % = [(Selling Price - Cost Price) / Cost Price] * 100, we get [(1/3) / 1] * 100, resulting in 33.3 percent.