Multiple choice

Mariyam bought some Black Pencils at the rate of $Rs.5$ per $9$ pencils and an equal number of coloured pencils at the rate of $Rs.5$ per $11$ pencils. If she sold all the pencils at the rate of $Rs.5$ per $10$ pencils, the gain or loss percent is

  1. No gain no loss
  2. gain $1\%$
  3. loss $10\%$
  4. loss $1\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Cost of 9 pencils = 5, cost of 11 pencils = 5. To buy equal numbers, take LCM(9, 11) = 99. Cost for 99 black = 55. Cost for 99 coloured = 45. Total cost for 198 pencils = 100. Selling price for 198 pencils at 5 per 10 = (198/10) * 5 = 99. Loss = 100 - 99 = 1. Loss percent = (1/100) * 100 = 1%.

AI explanation

Using the least common multiple method, assume she bought 99 of each type of pencil. The cost for 99 black pencils is 5 multiplied by 11, which is 55, and the cost for 99 colored pencils is 5 multiplied by 9, which is 45, making the total cost price 100. She sells all 198 pencils at 5 per 10, earning 5 multiplied by 19.8, which equals a selling price of 99. Applying the loss percentage formula, the loss is 1 divided by 100 multiplied by 100, resulting in a 1 percent loss.

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