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Seats for Mathematics, Physics and Biology in a sc
hool 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?
a) 2 : 3 : 4
b) 6 : 7 : 8
c) 6 : 8 : 9
d) None of these
Correct answer is 'A'. Can you explain this answer?
Verified Answer
Seats for Mathematics, Physics and Biology in a sc... morehool are in ...
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).
⇒ [(140/100) x 5x],[(150/100) x 7x] and [(175/100) x 8x]
⇒ 7x, 21x/2 and 14x.

⇒ The required ratio =7x : 21x/2 : 14x
⇒ 14x : 21x : 28x
⇒ 2 : 3 : 4
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Most Upvoted Answer
Seats for Mathematics, Physics and Biology in a sc... morehool are in ...
Given, seats for Mathematics, Physics, and Biology in a school are in the ratio 5:7:8.

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

After increasing the seats by 40%, 50%, and 75%, the new number of seats will be:

Mathematics: 5x + (40/100)*5x = 7x
Physics: 7x + (50/100)*7x = 10.5x
Biology: 8x + (75/100)*8x = 14x

Therefore, the ratio of increased seats will be:

7x:10.5x:14x

Simplifying the above ratio by dividing each term by 7x, we get:

7x/7x : 10.5x/7x : 14x/7x

1:1.5:2

Therefore, the ratio of increased seats is 1:1.5:2 which is equivalent to 2:3:4.

Hence, the correct answer is option A) 2:3:4.
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Seats for Mathematics, Physics and Biology in a sc... morehool 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?a) 2 : 3 : 4b) 6 : 7 : 8c) 6 : 8 : 9d) None of theseCorrect answer is 'A'. Can you explain this answer?
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