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?
2 : 3 : 4
6 : 7 : 8
6 : 8 : 9
None of these
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:
88 comments Page 9 of 9.

J K Reddy said:   10 years ago
I have small doubt any sum I can do this modal?

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.

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.

Ganesh said:   1 decade ago
Hey @Barun.

14/7, 21/7, 28/7.

Barun nag said:   1 decade ago
How 14x:21x:28x becomes 2:3:4?

Ramesh said:   1 decade ago
Say the ratio is 5:7:8. What is their denominator and how it has come. And if it is 20 then wouldn't it be like this 15x/20x = 140/100 and 7x/20x= 150/100. Does 15/20 indicates 100 percent here.

Aaanikt said:   1 decade ago
5/2 = 2.5(approx 2).
7/2 = 3.5(approx 3).
8/2 = 4.

Than ratio is 2:3:4.

Sarika said:   1 decade ago
Ratio is 5:7:8.
Increase in % i.e 140, 150 and 175.

Then, 5*140 = 700.
7*150 = 1050.
8*175 = 1400.

Ratio = 700:1050:1400.
70:105:140.

Answer = 2:3:4.


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