A person buys a pen from a wholesaler at Rs. 10 for 20 pens. He sells those…

2024

A person buys a pen from a wholesaler at Rs. 10 for 20 pens. He sells those pens at Rs. 10 for 15 pens. Find his profit or loss percent.

  1. A.

    33.834%

  2. B.

    33.304%

  3. C.

    33.334%

  4. D.

    39.334%

Attempted by 8 students.

Show answer & explanation

Correct answer: C

Step-by-Step Solution

To calculate the profit percentage when quantities bought and sold differ, it is easiest to find the cost price and selling price for a single item.

  1. Calculate the Cost Price (CP) per pen:

    • The person buys 20 pens for Rs. 10.

    • CP per pen = Total Cost / Quantity = 10 / 20 = Rs. 0.50.

  2. Calculate the Selling Price (SP) per pen:

    • The person sells 15 pens for Rs. 10.

    • SP per pen = Total Revenue / Quantity = 10 / 15 = 2/3 (or approximately Rs. 0.6667).

  3. Calculate the Profit:

    • Profit = SP - CP = (2/3) - 0.50

    • To make subtraction easier, use fractions: (2/3) - (1/2) = (4 - 3) / 6 = 1/6 (or approximately Rs. 0.1667).

  4. Calculate the Profit Percentage:

    • Profit Percentage = (Profit / CP) * 100

    • Profit Percentage = ((1/6) / (1/2)) * 100

    • Profit Percentage = (1/6 * 2/1) * 100 = (1/3) * 100 = 33.333...%

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