Multiple choice

Some lollipops are bought at $11$ for a rupee and the same number at $9$ a rupee. If the whole lot is sold at $10$ a rupee, find the gain or loss percent.

  1. $2\%$ gain
  2. $2\%$ loss
  3. $1\%$ gain
  4. $1\%$ loss
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Cost price of 1 lollipop is 1/11 + 1/9 = 20/99. Selling price of 2 lollipops is 2/10 = 1/5. Gain/loss = (1/5 - 20/99) / (20/99) = (99 - 100) / 100 = -1/100. This represents a 1% loss.

AI explanation

Assume you buy a lot of 99 lollipops; 11 cost 1 rupee and 9 cost 1 rupee, so the total cost for 99 lollipops is 9 plus 11, which is 20 rupees. Selling all 99 at 10 for a rupee gives a total selling price of 9.9 rupees. Applying the loss percentage formula, ((20 - 9.9) divided by 20) multiplied by 100 results in a 1% loss.

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