Quantitative Aptitude Ques 1608

Question: 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?

Options:

A) 2: 3: 4

B) 6: 7: 8

C) 6: 8: 9

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a] 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), $ ( \frac{140}{100}\times 5x ), $ $ ( \frac{150}{100}\times 7x ) $ and $ ( \frac{175}{100}\times 8x ) $ i.e. $ 7x, $ $ \frac{21x}{2} $ and 14x.
    $ \therefore $ Required ratio $ 7x:\frac{21x}{2}:14x $ $ =14x:21x:28x=2:3:4 $