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 3 of 9.
Ram Kundu said:
4 years ago
How it become 14x : 21x : 28x? Please explain this step.
(9)
M Zubair said:
5 years ago
Excellent. Thanks all.
(3)
Shaik Babu said:
5 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.
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.
(62)
Udit said:
5 years ago
How 7x:21/2x:14x =14x:21x:28x?
Anyone, please explain to me.
Anyone, please explain to me.
Shiv said:
6 years ago
=>Maths : physics : Biology
=>. 5 : 7 : 8.
=> 5*140 : 7*150 : 8*175,
=>. 2 : 6 : 8.
=>. 5 : 7 : 8.
=> 5*140 : 7*150 : 8*175,
=>. 2 : 6 : 8.
(9)
Priya said:
6 years ago
Nice explanation Mr. Harjinder Singh. Way to think in a simple manner.
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.
Increase 200:350:600.
700:105:1400=14:21:28=2:3:4 answer.
(2)
Himanshu said:
6 years ago
5:7:8 means 5/20 which means 0.25.
2:3:4 means 2/9 which means 0.22.
But it is saying that the seats have increased. But according to maths the seats have decreased.
Can anyone please tell me how is this possible?
2:3:4 means 2/9 which means 0.22.
But it is saying that the seats have increased. But according to maths the seats have decreased.
Can anyone please tell me how is this possible?
Subho said:
6 years ago
Math seats 5 increased will be 4% = now number of total seats 7. Physics seats 7 increased will be 50% = now number of total seats = 10.5. Bio seats 8 increased will be 75%= now the total number of state 14.
So, new seats ratio are 7:10.5:14.
= 2:3:4.
So, new seats ratio are 7:10.5:14.
= 2:3:4.
Himesh said:
6 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 :