Multiple choice

The cost price of 10 apples is the same as the selling price of 15 apples. What is the profit/loss incurred?

  1. 33.33% profit

  2. 33.33% loss

  3. 20% loss

  4. 16.66% profit

  5. 25% loss

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

Let the cost price of one apple be CP and selling price be SP. Given 10*CP = 15*SP, so CP/SP = 15/10 = 1.5. This means CP = 1.5*SP, which implies a loss because the cost is higher than the selling price. The loss percentage is ((CP - SP) / CP) * 100 = ((1.5*SP - SP) / 1.5*SP) * 100 = (0.5 / 1.5) * 100 = 33.33%.

AI explanation

The cost price of 10 apples equals the selling price of 15 apples, meaning the ratio of cost price to selling price for a single apple is 15 to 10. The loss percentage formula is ((Cost Price - Selling Price) / Cost Price) multiplied by 100, which here is ((15 - 10) / 15) * 100. This calculation results in a 33.33 percent loss.