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?

A. 2 : 3 : 4

B. 6 : 7 : 8

C. 6 : 8 : 9

D. None of these

View Answer

Correct Answer :
2 : 3 : 4

Explanation :

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

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

=> [ (140/100) x (5z) ] , [ (150/100) x (7z) ] and [ (175/100) x (8z) ]

=> 7z, (21z/2) and 14z

=> The required ratio = 7z : (21z/2) : 14z

=> 2 : 3 : 4

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