# 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:
84 comments Page 1 of 9.

Shaik Babu said:   4 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.
(60)

Shivangi said:   1 year ago
How it became 40% to 140%, 50% to 150%?
(42)

Giri said:   7 months ago
=> 5 : 7 : 8.
= 500 : 700 : 800.

= 40 : 50 : 75.
= 700 : 1050 : 1400.
=> 2 : 3 : 4.
(20)

Thrishika said:   7 months ago
How it become 40% to 140%, 50% to 150%? Anyone, explain it.
(18)

Amrutha said:   6 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.
(9)

Ram Kundu said:   3 years ago
How it become 14x : 21x : 28x? Please explain this step.
(9)

Jethalal said:   10 months ago
@Shivangi.

Increase of say Mathematics is 5x * 40% + 5x = 5x * (40/100 +1) = 5x * (140/100) = 140% * 5x.
same for 150% and 175%.
(8)

Akash hotty said:   1 year ago
Can anyone explain it shortly?
(8)

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

Jaya Prakash said:   5 months ago
@All.

Here 5:7:8 is not the original no of seats.

So, Initially, we assume the no of seats as 100% for each. so each is increased to 140%, 150%, and 175% respectively.

To know how many seats are required we are multiplying 140% * 5.
(6)