Multiple Choice Questions on A trader bought twoarticles for Rs490 Hesold one at a loss of 20 and the other at a profit of 16 If ........... for SSC CGL Exam Preparation

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Multiple Choice Questions

A trader bought twoarticles for Rs490 Hesold one at a loss of 20 and the other at a profit of 16 If ...........

Quantitative Aptitude (CGL) Profit and loss
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    A trader bought twoarticles for Rs490. Hesold one at a loss of 20% and the other at a profit of 16%.If the selling price of both

    articles is same, then the cost price (in Rs) of the article sold at 20% loss is:

    This questions was previously asked in
    SSC CGL 16th August 2021 Shift-3
    View All ssc Previous Year Papers

    310

    Incorrect Answer

    300

    Incorrect Answer

    290

    Correct Answer

    280

    Incorrect Answer
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    Explanation:

    - Let the cost price of the article sold at 20% loss be Rs. x.

    - The cost price of the other article is Rs. (490 - x).

    - Selling price of article 1 (20% loss) = x × 0.8

    - Selling price of article 2 (16% profit) = (490 - x) × 1.16

    - The SPs are the same. Set them equal:

    x × 0.8 = (490 - x) × 1.16

    - Solve:

    0.8x = 1.16×490 - 1.16x

    0.8x + 1.16x = 1.16×490

    1.96x = 568.4

    x = 568.4 / 1.96 = 290

    - So, the cost price is Rs. 290.

    - Option:1, 310

    - Option:2, 300

    - Option:3, 290

    - Option:4, 280

    Correct Answer:

    Option:3, 290

    By: santosh
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