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 4 of 9.
Saina Dey said:
2 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:
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)
Sikander said:
9 years ago
Isn't that simple like if we add 40% + 50% + 70% = 165,
40/165 = 2.
50/165 = 3.
75/165 = 4.
40/165 = 2.
50/165 = 3.
75/165 = 4.
(1)
Shravya said:
6 months ago
How it comes? Please explain to me.
(1)
Raju said:
8 years ago
Anyone, Please explain for me.
Zee said:
8 years ago
The required ratio = 7x : 21x/2: 14x
14x : 21x : 28x where did the 2 of 21/2 go?
2 : 3 : 4.
14x : 21x : 28x where did the 2 of 21/2 go?
2 : 3 : 4.
ISHIT SETIA said:
8 years ago
Will the percent increase not be 40/100 into 5x + 5x and so on?
As this is increased percentage?
As this is increased percentage?
Abhishek Bansal said:
8 years ago
We are given --> M : P : B = 5:7:8 . Increased in seats by 40% , 50% & 75%.
So this we can write as M:P:B = 5x : 7x: 8x (assuming common multiplier be x)
for simplicity of answering i am assuming x as 10.
So Before Increase Math seats = 5*10 = 50.
Similarly , Physics = 70 & Biology = 80.
Now Comes the increasing part.
Math by 40 % = 50*40/100 = 20.
So New Seats for math = (Earlier Available + New Seats) (50 + 20) = 70 Seats.
Similarly For physics it will be by 50 % = 70 * 50/100 = 35 & New Seats = 70+35 = 105.
For Biology New seats would be = 140.
After calculation, New Seats Are 70 : 105 : 140.
Simplify It & Answer would be 2:3:4.
So this we can write as M:P:B = 5x : 7x: 8x (assuming common multiplier be x)
for simplicity of answering i am assuming x as 10.
So Before Increase Math seats = 5*10 = 50.
Similarly , Physics = 70 & Biology = 80.
Now Comes the increasing part.
Math by 40 % = 50*40/100 = 20.
So New Seats for math = (Earlier Available + New Seats) (50 + 20) = 70 Seats.
Similarly For physics it will be by 50 % = 70 * 50/100 = 35 & New Seats = 70+35 = 105.
For Biology New seats would be = 140.
After calculation, New Seats Are 70 : 105 : 140.
Simplify It & Answer would be 2:3:4.
Priya said:
9 years ago
Sikander can you explain in what aspect you are taking?
Mahesh said:
8 years ago
Seats for maths, science and arts in a school are in the ratio 5:7:8.there is a proposal to increase these seats by x%, y%, z% respectively. And the ratio of increased seats is 2:3:4. Find x, y, z.
Can anyone solve this?
Can anyone solve this?
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