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:
88 comments Page 3 of 9.
Shaik Babu said:
5 years ago
5 it is increased by 40%=5 * 40/100 = 2.
7 it is increased by50%=7 * 50/100 = 7/2.
8it is increased by 75%=8 * 75/100 = 6.
5+2=7/2+7 = 6 + 8.
7=21/2 = 14.
14=21 = 28.
2=3 = 4.
7 it is increased by50%=7 * 50/100 = 7/2.
8it is increased by 75%=8 * 75/100 = 6.
5+2=7/2+7 = 6 + 8.
7=21/2 = 14.
14=21 = 28.
2=3 = 4.
(62)
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. 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)
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.
Jethalal said:
2 years ago
@Shivangi.
Increase of say Mathematics is 5x * 40% + 5x = 5x * (40/100 +1) = 5x * (140/100) = 140% * 5x.
same for 150% and 175%.
Increase of say Mathematics is 5x * 40% + 5x = 5x * (40/100 +1) = 5x * (140/100) = 140% * 5x.
same for 150% and 175%.
(8)
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.
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)
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.
Satish said:
1 decade ago
Hi guys cool,
5:7:8
5*1.4 : 7*1.5 : 8*1.75
7 : 10.5 : 14
2 : 3 :4
Important NOTE : KEEP in fractions instead of decimals.
5:7:8
5*1.4 : 7*1.5 : 8*1.75
7 : 10.5 : 14
2 : 3 :4
Important NOTE : KEEP in fractions instead of decimals.
MUKESH said:
7 years ago
7 : 8 = 50 : 70 : 80 then
40% :50% :75% = 70 : 105 : 140.
So, 14 : 21 : 28 = 2 : 3 : 4 is the answer.
40% :50% :75% = 70 : 105 : 140.
So, 14 : 21 : 28 = 2 : 3 : 4 is the answer.
Rupali said:
1 decade ago
HI sonal! ramesh divided 70,105,140 by 5 then answer will be 14:21:28 after that by 7 therefore answer is 2: 3: 4
Ramesh said:
1 decade ago
5:7:8 = 50:70:80
50*140/100=70 ; 70*150/100=105 ; 80*175/100=140
70: 105: 140 or
14: 21: 28 or
2: 3: 4
50*140/100=70 ; 70*150/100=105 ; 80*175/100=140
70: 105: 140 or
14: 21: 28 or
2: 3: 4
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