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:
86 comments Page 9 of 9.
Jaya Prakash said:
1 year ago
@All.
Here 5:7:8 is not the original no of seats.
So, Initially, we assume the no of seats as 100% for each. so each is increased to 140%, 150%, and 175% respectively.
To know how many seats are required we are multiplying 140% * 5.
Here 5:7:8 is not the original no of seats.
So, Initially, we assume the no of seats as 100% for each. so each is increased to 140%, 150%, and 175% respectively.
To know how many seats are required we are multiplying 140% * 5.
(12)
Nayana said:
1 year ago
700 : 1050 : 1400.
How its comes?
How its comes?
(5)
Sri said:
1 year ago
To find the increased seats, we multiply the original seats by (1 + \frac{{40}}{{100}}).
(4)
Freeze said:
10 months ago
5 it is increased by 40% = 5 * 40/100 = 2.
7 it is increased by 50% = 7 * 50/100 = 7/2.
8 it is increased by 75% = 8 * 75/100 = 6.
We need to add the ratios with their increased values.
(5) +2 : (7) +7/2 : (6) + 8.
7 : 21/2 : 14.
Multiply 2 on all sides.
14: 21: 28.
Divide 7 on all sides.
2: 3 : 4.
7 it is increased by 50% = 7 * 50/100 = 7/2.
8 it is increased by 75% = 8 * 75/100 = 6.
We need to add the ratios with their increased values.
(5) +2 : (7) +7/2 : (6) + 8.
7 : 21/2 : 14.
Multiply 2 on all sides.
14: 21: 28.
Divide 7 on all sides.
2: 3 : 4.
(55)
Nivetha said:
4 months ago
5 : 7 : 8
Let it be,
500:700:800
Maths increased by 40%, 40%of 500 = 200,
Physics increased by 50%, 50%of 700 = 350,
Biology increased by 75%, 75%of 800 = 600.
Therefore;
500 + 200 = 700.
700 + 350 = 1050.
800 + 600 = 1400.
700 : 1050 : 1400 simplified as 2 : 3 : 4.
Let it be,
500:700:800
Maths increased by 40%, 40%of 500 = 200,
Physics increased by 50%, 50%of 700 = 350,
Biology increased by 75%, 75%of 800 = 600.
Therefore;
500 + 200 = 700.
700 + 350 = 1050.
800 + 600 = 1400.
700 : 1050 : 1400 simplified as 2 : 3 : 4.
(21)
Sai daragani said:
2 months ago
5 * 40/100 = 2.
Only option A has 2.
So, the answer is option A.
Only option A has 2.
So, the answer is option A.
(10)
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