# Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 4)
4.
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?
2 : 3 : 4
6 : 7 : 8
6 : 8 : 9
None of these
Explanation:

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 x 5x , 150 x 7x and 175 x 8x 100 100 100 7x, 21x and 14x. 2 The required ratio = 7x : 21x : 14x 2 14x : 21x : 28x 2 : 3 : 4.

Discussion:
74 comments Page 1 of 8.

Why is the %age value changing from 40 to 140, 50 to 150 and 75 to 175 ?

Can anyone explain in detail please?

Because initial amount is 100 then 100+40=140 etc.

Any shortcut for this ?

@ shwetha

when it is said that there is x% or y% increase in any value then to find out that increased value we have do
100+x

as in this example a value increased 40% means 100+40=140

5:7:8 = 50:70:80
50*140/100=70 ; 70*150/100=105 ; 80*175/100=140
70: 105: 140 or
14: 21: 28 or
2: 3: 4

Good shortcut ramesh.

Vivek mishra said:   1 decade ago
Thanks to giving a good salution with shortcut.

Very good shortcut ramesh.