Aptitude - Ratio and Proportion - Discussion
Discussion Forum : Ratio and Proportion - General Questions (Q.No. 6)
6.
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
Answer: Option
Explanation:
Originally, let the number of boys and girls in the college be 7x and 8x respectively.
Their increased number is (120% of 7x) and (110% of 8x).
 |
 |
120 | x 7x |  |
and | |
110 | x 8x | |
| 100 | 100 |
| |
42x | and | 44x |
| 5 | 5 |
 The required ratio = |
|
42x | : | 44x | |
= 21 : 22. |
| 5 | 5 |
Discussion:
65 comments Page 2 of 7.
GANESH DEY said:
7 years ago
Please tell me, why denominator 5 is removed?
(4)
Yudhisthira sarapuria said:
7 years ago
20% increase mean 120/100 = 6/5.
(4)
Jeyaram said:
1 year ago
Remember x:y = x/y.
So, Here 42/5:44/5 =[42/5]/[44/5] then simply cancel 5 and div 42 and 44 by 2.
You will get 21/22 as Said x/y =x:y.
So, 21 : 22.
So, Here 42/5:44/5 =[42/5]/[44/5] then simply cancel 5 and div 42 and 44 by 2.
You will get 21/22 as Said x/y =x:y.
So, 21 : 22.
(4)
Waquar said:
6 years ago
Thanks @Priyabrata.
(3)
Naresh said:
8 years ago
7*120/100 = 84/10,
8*110/100 = 88/10,
84/10:88/10 = 84:88.
21:22.
8*110/100 = 88/10,
84/10:88/10 = 84:88.
21:22.
(2)
Tanu said:
5 months ago
Boys 7 = 20%.
Girls 8 = 10%.
120/ 100 = 1.2x7 = 84
110/ 100 = 1.1x8 = 88.
Here (boys& girls) so divided by 2.
84/2 = 42
88/2 = 44.
Again divided by 2.
42/2=21
44/2=22
So, new ratio = 21:22.
Girls 8 = 10%.
120/ 100 = 1.2x7 = 84
110/ 100 = 1.1x8 = 88.
Here (boys& girls) so divided by 2.
84/2 = 42
88/2 = 44.
Again divided by 2.
42/2=21
44/2=22
So, new ratio = 21:22.
(2)
Ravi said:
7 years ago
For boys :- 7+20/100. that is 36/5.
And for girls:- 8+10/100.that is 81/10.
Then ATQ. 36/5*10/81.
And answer will become 8:9.
And for girls:- 8+10/100.that is 81/10.
Then ATQ. 36/5*10/81.
And answer will become 8:9.
(2)
Chandru said:
4 months ago
7 : 8
= 7 * 120/100 : 8 * 110/100.
= 42/5 : 44/5.
= 42 : 44.
= 21 : 22.
= 7 * 120/100 : 8 * 110/100.
= 42/5 : 44/5.
= 42 : 44.
= 21 : 22.
(2)
Ruchith praharsha said:
8 years ago
Let the no of boys be 7x and no of girls be 8x.
If it is increased by 20 and 10 per cent lets take x as 10 they will 70 and 80 and the increase will be 84 and 88 the ratio is 84 :88 that is 21:22.
If it is increased by 20 and 10 per cent lets take x as 10 they will 70 and 80 and the increase will be 84 and 88 the ratio is 84 :88 that is 21:22.
(2)
Pawan said:
8 years ago
7+8=15.
%= 15+100=150,
7:8 increase by 20% & 10%,
70= 20%=14,
80=10%=8,
Therefore, 70+14=84,
80+8=88,
84:88,
Divide by 4,
Hence new ratio is;
21:22.
%= 15+100=150,
7:8 increase by 20% & 10%,
70= 20%=14,
80=10%=8,
Therefore, 70+14=84,
80+8=88,
84:88,
Divide by 4,
Hence new ratio is;
21:22.
(1)
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