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 4 of 9.
Aparna said:
1 decade ago
5x/20+5/20*40/100 = 7x/20.
7x/20+7x/20*50/100 = 21x/40.
8x/20+8x/20+75/100 = 7x/10.
Can any one help me is it correct if yes what are the next steps please help me to understand.
7x/20+7x/20*50/100 = 21x/40.
8x/20+8x/20+75/100 = 7x/10.
Can any one help me is it correct if yes what are the next steps please help me to understand.
Babita yadav said:
10 years ago
40% of 5 = 140/100*5 = 7.
50% of 7 = 150/100*7 = 21/2.
75% of 8 = 175/100*8 = 14.
Now take common 7.
7 (14:21:28) = 2:3:4.
50% of 7 = 150/100*7 = 21/2.
75% of 8 = 175/100*8 = 14.
Now take common 7.
7 (14:21:28) = 2:3:4.
J K Reddy said:
9 years ago
I have small doubt any sum I can do this modal?
Biradar said:
9 years ago
Thanks to all it helps me a lot.
Rubesh said:
9 years ago
40% of 5 = 140/100 * 5 = 7.
50% of 7 = 150/100 * 7 = 21/2.
75% of 8 = 175/100 * 8 = 14.
Now take common 7.
7(14 : 21 : 28) = 2 : 3 : 4.
50% of 7 = 150/100 * 7 = 21/2.
75% of 8 = 175/100 * 8 = 14.
Now take common 7.
7(14 : 21 : 28) = 2 : 3 : 4.
Saif said:
9 years ago
@Aparna it is correct and the right way to solve this problem.
After this, you compare the ratio.
7/20 : 21/40 : 7/10.
Now bring the denominator to 40.
14/40 : 21/40 : 28/40.
14 : 21 : 28.
Simplify by 7.
2 : 3 : 4.
After this, you compare the ratio.
7/20 : 21/40 : 7/10.
Now bring the denominator to 40.
14/40 : 21/40 : 28/40.
14 : 21 : 28.
Simplify by 7.
2 : 3 : 4.
Saisangeetha said:
9 years ago
@Ramesh.
Very good explanation.
Very good explanation.
Ajit raj said:
9 years ago
Mindblowing explanation, Thank you all.
Vedanth said:
9 years ago
Let the seats be 5x, 7x, 8x they are increasing by 40%, 50%, 75%.
5x + 40% of 5x.
= 7x.
7x + 50%of 7x
=10.5x.
8x + 75% of 8x
=14x.
So,
= 7x : 10.5x : 14x.
= 2 : 3 : 4.
5x + 40% of 5x.
= 7x.
7x + 50%of 7x
=10.5x.
8x + 75% of 8x
=14x.
So,
= 7x : 10.5x : 14x.
= 2 : 3 : 4.
Shikha said:
9 years ago
Thanks @Ramesh.
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