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    The ratio of the number of boys to the number of girls in a school of 1650 students is 6: 5. If 124 new boys are admitted and few new girls are admitt
    Question

    The ratio of the number of boys to the number of girls in a school of 1650 students is 6: 5. If 124 new boys are admitted and few new girls are admitted, the ratio changes to 4: 3. What is the ratio of the newly admitted girls to the newly admitted boys?

    A.

    3:4

    B.

    62:9

    C.

    4:3

    D.

    9:62

    Correct option is D

    Let 6x be the number of boys and 5x be the number of girls in the school.
    6x+5x=1650
    11x=1650
    x=150
    So, the number of boys is:6x=6×150=900
    And the number of girls is:5x=5×150=750

    The new number of boys =  900+124=1024

    1024750+g=43\frac{1024}{750+g} = \frac{4}{3}

    g= 18

    Ratio= 18: 124= 9 : 62

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