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    Question

    The number of small to large packets in a store is in the

    ratio 3:4. If 18 more packets of each type are added, the ratio changes to 9:11. Find the original number of large packets.
    A 34 Correct Answer Incorrect Answer
    B 48 Correct Answer Incorrect Answer
    C 75 Correct Answer Incorrect Answer
    D 68 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the original number of small and large packets be ‘3x’ and ‘4x’, respectively.

    ATQ;

    (3x + 18) / (4x + 18) = (9/11)

    Or, 11 × (3x + 18) = 9 × (4x + 18)

    Or, 33x + 198 = 36x + 162

    Or, 3x = 36

    Or, x = 12

    So, the number of large packets originally = 4 × 12 = 48

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