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Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 4)
Ratio and Proportion
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
Answer: Option
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:
88 comments Page 5 of 9.
Rahul said:   6 years ago
Let the ratio 500:700:800.
Increase 200:350:600.
700:105:1400=14:21:28=2:3:4 answer.
(2)
Aaanikt said:   1 decade ago
5/2 = 2.5(approx 2).
7/2 = 3.5(approx 3).
8/2 = 4.

Than ratio is 2:3:4.
Abdulsalam said:   3 years ago
How can we get the total number of seats?

Please, anyone, explain me.
(6)
Isaactamson said:   9 years ago
The 40% of 5 =2,
50% of 7=3.5,
75% of 8 = 6,

The ratio will be 2:3:6.
Priya said:   6 years ago
Nice explanation Mr. Harjinder Singh. Way to think in a simple manner.
Hiitha said:   4 years ago
@All.

Still did not get clarified that why we should use 140/100?
(3)
Sai daragani said:   7 months ago
5 * 40/100 = 2.
Only option A has 2.
So, the answer is option A.
(24)
Pabitra said:   4 years ago
Still not clear.

Can you explain it clearly in a shortcut way?
(1)
Udit said:   5 years ago
How 7x:21/2x:14x =14x:21x:28x?

Anyone, please explain to me.
Mehreen said:   2 years ago
Is it because of the percentage increase we are taking 140%?
(6)
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