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:
89 comments Page 2 of 9.
Ram Kundu said:
5 years ago
How it become 14x : 21x : 28x? Please explain this step.
(9)
Jethalal said:
2 years ago
@Shivangi.
Increase of say Mathematics is 5x * 40% + 5x = 5x * (40/100 +1) = 5x * (140/100) = 140% * 5x.
same for 150% and 175%.
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:
3 years ago
Can anyone explain it shortly?
(8)
Sri said:
2 years ago
To find the increased seats, we multiply the original seats by (1 + \frac{{40}}{{100}}).
(7)
Nayana said:
2 years ago
700 : 1050 : 1400.
How its comes?
How its comes?
(6)
Mehreen said:
3 years ago
Is it because of the percentage increase we are taking 140%?
(6)
Abdulsalam said:
3 years ago
How can we get the total number of seats?
Please, anyone, explain me.
Please, anyone, explain me.
(6)
Insaan said:
4 years ago
@Ram Kundu.
7x : 21x/2 : 14x from 14x : 21x : 28
To make the same denominator we have to multiply with 2 (7x*2/2 and 14*2/2)
14x/2 : 21x/2 : 28x/2 ( now we have the same denominator) we can ignore the denominator
Take LCM of 14x: 21x: 28x,
We get 2x: 3x: 8x.
7x : 21x/2 : 14x from 14x : 21x : 28
To make the same denominator we have to multiply with 2 (7x*2/2 and 14*2/2)
14x/2 : 21x/2 : 28x/2 ( now we have the same denominator) we can ignore the denominator
Take LCM of 14x: 21x: 28x,
We get 2x: 3x: 8x.
(5)
M Zubair said:
5 years ago
Excellent. Thanks all.
(3)
ANVIKA BEHERA said:
2 months ago
5:7:8 we can write as;
Maths = 5x.
Physics = 7x,
And Biology =8x,
So ,if 5x * 40%,
Means,5 * 40/100.
= 2.
Where (A)is the only option with it.
Maths = 5x.
Physics = 7x,
And Biology =8x,
So ,if 5x * 40%,
Means,5 * 40/100.
= 2.
Where (A)is the only option with it.
(3)
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