Multiple choice

The cost price of $9$ articles is equal to the selling price of $11$ articles. Then the loss percentage is

  1. $\displaystyle18\frac{2}{11}$%
  2. $\displaystyle2\frac{9}{11}$%
  3. $\displaystyle15\frac{1}{2}$%
  4. $\displaystyle16\frac{1}{2}$%
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A Correct answer
Explanation

Let the cost price of one article be CP and selling price be SP. Given 9*CP = 11*SP, so SP/CP = 9/11. The loss is CP - SP = 11 - 9 = 2 units. Loss percentage = (Loss/CP) * 100 = (2/11) * 100 = 18.18%, which is 18 2/11%.

AI explanation

Let the cost price of one article be Rs. 11, making the total cost price of 9 articles Rs. 99. The selling price of 11 articles is also Rs. 99, meaning the selling price of one article is Rs. 9. Using the loss percentage formula, the loss is ((11 - 9) / 11) multiplied by 100, resulting in 18 2/11%.

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