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Profit and loss

Quantitative Aptitude (CGL)

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    If the selling price of an article is doubled, then the profit becomes four times. What was the original profit percentage? 

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    ssc cgl 2023 pre

    75%

    Incorrect Answer

    100%

    Incorrect Answer

    50% 

    Correct Answer

    25%

    Incorrect Answer
    Explanation:

    - Let's say the cost price of the article is \( C \) and the original selling price is \( S_1 \).

    - The original profit is \( P_1 = S_1 - C \).

    - If the selling price is doubled, it becomes \( 2S_1 \), and the new profit \( P_2 = 2S_1 - C \).

    - We're given that \( P_2 = 4P_1 \).

    - Plugging in the numbers: \( 2S_1 - C = 4(S_1 - C) \).

    - This simplifies to: \( 2S_1 - C = 4S_1 - 4C \).

    - Rearrange to find: \( 3C = 2S_1 \).

    - Means \( S_1 = \frac{3}{2}C \), indicating a 50% profit originally.

    - Option 3, 50% , is therefore the correct answer.


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