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     Numbers of seats for Mathematics, Physics and Biology in a college are in the ratio 2:3:4. What will be the respective ratio if the seats for ea
    Question

     Numbers of seats for Mathematics, Physics and Biology in a college are in the ratio 2:3:4. What will be the respective ratio if the seats for each subject are increased by 50%?

    A.

    1:1:1

    B.

    2:3:4

    C.

    4:3:2

    D.

    3:2:4

    Correct option is B


    Solution:
    Let the seats be: Maths = 2k Physics = 3k Biology = 4k
    Increase each by 50% means multiply each by 1.5:
    Maths new = 2k × 1.5 = 3k Physics new = 3k × 1.5 = 4.5k Biology new = 4k × 1.5 = 6k
    New ratio = 3k : 4.5k : 6k
    Divide each by 1.5k:
    3k / 1.5k = 2 4.5k / 1.5k = 3 6k / 1.5k = 4
    So, the new ratio =  2 : 3 : 4, same as original.
    Answer: (b) 2:3:4

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