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?
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:
90 comments Page 3 of 9.
Anu said:
9 months ago
@Thrishika.
Because we suppose 100% for the 1 part value.
Because we suppose 100% for the 1 part value.
(3)
Hiitha said:
5 years ago
@All.
Still did not get clarified that why we should use 140/100?
Still did not get clarified that why we should use 140/100?
(3)
M Zubair said:
5 years ago
Excellent. Thanks all.
(3)
Rahul said:
7 years ago
Let the ratio 500:700:800.
Increase 200:350:600.
700:105:1400=14:21:28=2:3:4 answer.
Increase 200:350:600.
700:105:1400=14:21:28=2:3:4 answer.
(2)
Isaactamson said:
9 years ago
The 40% of 5 =2,
50% of 7 = 3.5,
75% of 8 = 6,
(5+2)x2 = 14,
(7+3.5)x2 = 21,
(8+6)x2 = 28,
= 16:21:28.
The ratio will be 2:3:4.
50% of 7 = 3.5,
75% of 8 = 6,
(5+2)x2 = 14,
(7+3.5)x2 = 21,
(8+6)x2 = 28,
= 16:21:28.
The ratio will be 2:3:4.
(2)
Ahmad said:
8 years ago
Awesome, thanks @Ramesh.
(2)
Harjinder Singh said:
2 decades ago
1. 40% of 5 = 2, total seats 5+2=7
2. 50% of 7 = 7/2 total seats 7+7/2=21/2
3. 75% of 8 = 6 total seats 8+6=14
now compare ratios of all 7:21/2:14=>14:21:28
=>2:3:4
2. 50% of 7 = 7/2 total seats 7+7/2=21/2
3. 75% of 8 = 6 total seats 8+6=14
now compare ratios of all 7:21/2:14=>14:21:28
=>2:3:4
(2)
Shravya said:
11 months ago
How it comes? Please explain to me.
(1)
Saina Dey said:
3 years ago
@Shiv.
/
Why we have to multiply 5, 7 and 8 with 140, 150 and 175? Can anyone explain it please?
/
Why we have to multiply 5, 7 and 8 with 140, 150 and 175? Can anyone explain it please?
(1)
Himesh said:
7 years ago
@All.
Would this formula be applicable if the number of seats is to be DECREASED rather than INCREASED?
And the ratios themselves are decreasing after solutions, how then the seats were increased? could anyone tell me why the ratios decreased instead of increasing?
Would this formula be applicable if the number of seats is to be DECREASED rather than INCREASED?
And the ratios themselves are decreasing after solutions, how then the seats were increased? could anyone tell me why the ratios decreased instead of increasing?
(1)
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The required ratio = 7x :