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 8 of 9.

Hiitha said:   3 years ago
@All.

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

Pabitra said:   3 years ago
Still not clear.

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

Abdulsalam said:   2 years ago
How can we get the total number of seats?

(6)

Akash hotty said:   2 years ago
Can anyone explain it shortly?
(8)

Shivangi said:   1 year ago
How it became 40% to 140%, 50% to 150%?
(45)

Mehreen said:   1 year ago
Is it because of the percentage increase we are taking 140%?
(6)

Jethalal said:   1 year 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)

Saina Dey said:   11 months ago
@Shiv.
/
Why we have to multiply 5, 7 and 8 with 140, 150 and 175? Can anyone explain it please?
(1)

Thrishika said:   9 months ago
How it become 40% to 140%, 50% to 150%? Anyone, explain it.
(22)

Giri said:   9 months ago
=> 5 : 7 : 8.
= 500 : 700 : 800.

= 40 : 50 : 75.
= 700 : 1050 : 1400.
=> 2 : 3 : 4.
(21)