Multiple choice

If the cost price of $12$ items is equal to the selling price of $16$ items, the loss percent is

  1. $20\%$
  2. $25\%$
  3. $30\%$
  4. $35\%$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be the cost price per item and SP be the selling price per item. 12 * CP = 16 * SP, so SP = (12/16) * CP = 0.75 * CP. The loss is CP - 0.75 * CP = 0.25 * CP. Loss percent = (0.25 * CP / CP) * 100 = 25%.

AI explanation

Let the cost price of one item be 1, making the cost price of 12 items equal to 12. Since the cost price of 12 items equals the selling price of 16 items, the selling price of one item is 12 divided by 16 which is 0.75. Using the loss percent formula, Loss equals Cost Price minus Selling Price, the loss is 1 minus 0.75 equals 0.25. The loss percent is 0.25 divided by 1 times 100, which is 25 percent. The loss percent is 25 percent.

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