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Q.

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? 

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a

6 : 8 : 9 

b

Data inadequate 

c

2 : 3 : 4

d

6 : 7 : 8 

answer is A.

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Detailed Solution

Let the number of seats is =x
Given ratio in the question for mathematics, Physics and Biology =5:7:8
So, the number of seats for mathematics = 5x
The number of seats for Physics =7x
The number of seats for Biology =8x
There is proposal to increase the seats so, the number of seats after increasing the seats
 Mathematics =5x+5x×40% 5x+5x×401005x+2x=7x 
 Physics =7x+7x×50%7x+7x×501007x+3.5x=10.5x
 Biology =8x+8x×75%8x+8x×751008x+6x=14x
Here new ratio for seats of mathematic, Physics and Biology
=7x:10.5x:14x
After simplifying the ratio, we get
=1:1.5:2
=2:3:4
 


 

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