If the cost price of an article is 67 % of the selling price, what is the…

2023

If the cost price of an article is 67 % of the selling price, what is the profit percent ?

  1. A.

    49.25 %

  2. B.

    49.20 %

  3. C.

    48.25 %

  4. D.

    89.25 %

Attempted by 8 students.

Show answer & explanation

Correct answer: A

Step-by-Step Solution

To calculate the profit percentage, we express the cost price (CP) in terms of the selling price (SP) and then use the standard profit formula.

  1. Define the relationship:

    • The problem states that CP = 67% of SP.

    • Mathematically, this is: CP = 0.67 * SP.

  2. Calculate the Profit:

    • Profit = SP - CP

    • Profit = SP - 0.67 * SP

    • Profit = 0.33 * SP

  3. Calculate Profit Percentage:

    • Profit Percentage = (Profit / CP) * 100

    • Profit Percentage = (0.33 * SP) / (0.67 * SP) * 100

    • Profit Percentage = (0.33 / 0.67) * 100

    • Profit Percentage ≈ 0.492537 * 100 ≈ 49.25%

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