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Discussion :: Ratio and Proportion

  1. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

  2. A.

    2 : 3 : 4

    B.

    6 : 7 : 8

    C.

    6 : 8 : 9

    D.

    None of these

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    Answer : Option A

    Explanation :

    Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.

     

    Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).

     

     \([ \frac { 1 40} { 100 } \)  x 5x ] ,\([ \frac { 1 50} { 100 } \)x  7x ] and \([ \frac { 1 75} { 100 } \) x 8x]

     

     7x,\( \frac { 21 X} { 2 } \) and 14x

     

     The required ratio = 7x :\( \frac { 21 X} { 2 } \):14 x 

     

     14x : 21x : 28x

     

     2 : 3 : 4

     


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