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:
90 comments Page 3 of 9.

Hiitha said:   5 years ago
@All.

Still did not get clarified that why we should use 140/100?
(3)

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.
(2)

Ahmad said:   8 years ago
Awesome, thanks @Ramesh.
(2)

Isaactamson said:   9 years ago
The 40% of 5 =2,
50% of 7 = 3.5,
75% of 8 = 6,
(5+2)x2 = 14,
(7+3.5)x2 = 21,
(8+6)x2 = 28,
= 16:21:28.

The ratio will be 2:3:4.
(2)

Madhavan goud said:   1 month ago
(5:7:8) *10 = 50:70:80
40% of 50 = 20,
50% of 70 = 35,
75% of 80 = 60.
So, 50 + 20 = 70.
70+35= 105.
80+60 = 140.
70 : 105 : 140 = 2:3:4.
(2)

Harjinder Singh said:   1 decade ago
1. 40% of 5 = 2, total seats 5+2=7
2. 50% of 7 = 7/2 total seats 7+7/2=21/2
3. 75% of 8 = 6 total seats 8+6=14
now compare ratios of all 7:21/2:14=>14:21:28
=>2:3:4
(2)

Anu said:   5 months ago
@Thrishika.

Because we suppose 100% for the 1 part value.
(2)

Pabitra said:   5 years ago
Still not clear.

Can you explain it clearly in a shortcut way?
(1)

Sonal mahajan said:   1 decade ago
Hi ramesh

Can you tell me please how it comes?
70: 105: 140 or
14: 21: 28 or
2: 3: 4
(1)

Faizan said:   1 decade ago
Previous ratio is 5:7:8, now by adding increase.
we get,

5+0.4*5 : 7+0.5*7 : 8+0.75*8 , which is 7:10.5:14.

Now it is simplified as 70:105:140 (by multiplying 10 with all).

And on simplifying by 7, we get new ratio as 2:3:4 .
(1)


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