# 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.

Shaik Babu said:   3 years ago
5 it is increased by 40%=5 * 40/100 = 2.
7 it is increased by50%=7 * 50/100 = 7/2.
8it is increased by 75%=8 * 75/100 = 6.
5+2=7/2+7 = 6 + 8.
7=21/2 = 14.
14=21 = 28.
2=3 = 4.
(16)

Shiv said:   3 years ago
=>Maths : physics : Biology
=>. 5 : 7 : 8.
=> 5*140 : 7*150 : 8*175,
=>. 2 : 6 : 8.
(4)

Akash hotty said:   3 months ago
Can anyone explain it shortly?
(3)

Abdulsalam said:   5 months ago
How can we get the total number of seats?

(3)

Hiitha said:   2 years ago
@All.

Still did not get clarified that why we should use 140/100?
(3)

Ram Kundu said:   2 years ago
How it become 14x : 21x : 28x? Please explain this step.
(3)

Amrutha said:   5 years ago
For make calculation easy take the values as 500 : 700 : 800,

40% of 500 =200,
50% of 700 =350,
75% of 800=600,
Then the increased ratio = 700 :1050:1400.

After simplification, the answer would be 2:3:4.
(1)

Sikander said:   6 years ago
Isn't that simple like if we add 40% + 50% + 70% = 165,
40/165 = 2.
50/165 = 3.
75/165 = 4.
(1)

M Zubair said:   2 years ago
Excellent. Thanks all.
(1)

Pabitra said:   2 years ago
Still not clear.

Can you explain it clearly in a shortcut way?
(1)