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    Question

    The ratio of pens to pencils in a shop is 8:5. If 24 pens

    are sold and 21 pencils are added, the number of pens and pencils becomes equal. Find the original number of pencils in the shop.
    A 48 Correct Answer Incorrect Answer
    B 65 Correct Answer Incorrect Answer
    C 75 Correct Answer Incorrect Answer
    D 82 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of pens and pencils be '8n' and '5n', respectively.

    So, 8n - 24 = 5n + 21

    Or, 'n' = 15

    Therefore, number of pencils = 15 × 5 = 75

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