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    Question

    The ratio of sugar to flour packets in a store is 6:7. If

    18 more packets of each are stocked, the ratio becomes 4:5. Find the original number of flour packets.
    A 63 Correct Answer Incorrect Answer
    B 30 Correct Answer Incorrect Answer
    C 50 Correct Answer Incorrect Answer
    D 10 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of sugar and flour packets be 6x and 7x.

    ATQ:

    (6x + 18)/(7x + 18) = 4/5

    ⇒ 5(6x + 18) = 4(7x + 18)

    ⇒ 30x + 90 = 28x + 72

    ⇒ 2x = 18

    ⇒ x = 9

    Original flour packets = 7 × 9 = 63

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