Multiple choice

If the cost price of $12$ books is the same as the selling price of $16$ books, the gain or loss per cent is :

  1. $15\%$ gain
  2. $25\%$ loss
  3. $20\%$ loss
  4. $30\%$ gain
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B Correct answer
AI explanation

Let the cost price of one book be 16 and the selling price be 12, satisfying the condition that 12 times 16 equals 16 times 12. The loss amount is 16 minus 12, which is 4. Using the loss percentage formula, Loss Percentage equals Loss divided by Cost Price multiplied by 100, resulting in (4 divided by 16) times 100. This calculates to a 25% loss.