Railways Mathematics Ratio Proportion and Partnership Sample Paper Ratio, Proportion & Partnership Sample Test Paper-6

  • question_answer 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. The ratio of increased seats will be

    A)  2 : 3 : 4

    B)         6 : 8 : 9

    C)  6 : 7 : 8           

    D)  None of these.

    Correct Answer: A

    Solution :

    [a] Let the number of seats for mathematics, physics and biology be 5x, 7x and 8x respectively. No of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x) i.e.        \[\left( \frac{140}{100}\times 5x \right),\,\,\,\left( \frac{150}{100}\times 7x \right)\] and \[\left( \frac{175}{100}\times 8x \right)\] i.e.        \[7x,\frac{21}{2},14x\] \[\therefore \] Required ratio \[7x:\frac{21}{2}x:14x\] i.e. \[14x:21x:28x\] = 2 : 3 : 4

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