Multiple choice

The cost price of an article is 90% of its selling price. What is the profit or the loss as percent?

  1. $10\displaystyle \frac {1}{9}\%$ loss
  2. $11\displaystyle \frac {1}{9}\%$ profit
  3. $9\displaystyle \frac {1}{9}\%$ loss
  4. $12\displaystyle \frac {1}{9}\%$ profit
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

CP = 0.9 * SP. Profit = SP - CP = SP - 0.9 * SP = 0.1 * SP. Profit % = (Profit / CP) * 100 = (0.1 * SP / 0.9 * SP) * 100 = (1/9) * 100 = 11.11% or 11 1/9%.

AI explanation

Let the selling price be 100, which makes the cost price 90. The profit is 100 - 90 = 10. Using the profit percentage formula, (Profit / Cost Price) * 100, we get (10 / 90) * 100 = 100/9 %. The profit is 11 1/9%.

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