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:
61 comments Page 1 of 7.
Anjan said:
2 years ago
The ratio of B:G = 7:8,
7 increased 20% = 7 * 20/100 = 7/5.
8 increased 10% = 8 * 10/100 = 4/5.
7 + 7/5 = 8+4/5,
= 42/5 = 44/5,
= 21:22.
7 increased 20% = 7 * 20/100 = 7/5.
8 increased 10% = 8 * 10/100 = 4/5.
7 + 7/5 = 8+4/5,
= 42/5 = 44/5,
= 21:22.
(42)
Akash said:
2 years ago
Herre the ration is; 7:8.
We take it as 7x : 8x.
Assume x = 10.
Then 7*10 : 8 * 10.
70 : 80.
Increment boys = 20%
The 70s 20% is 14.
So we add 70+14 = 84.
Similarly, we calculate girl's increment for 10%.
80s 10% is 8.
So we add 80 + 8 = 88
Finally 84 : 88
Divide it by 4.
And We get 21 : 22.
We take it as 7x : 8x.
Assume x = 10.
Then 7*10 : 8 * 10.
70 : 80.
Increment boys = 20%
The 70s 20% is 14.
So we add 70+14 = 84.
Similarly, we calculate girl's increment for 10%.
80s 10% is 8.
So we add 80 + 8 = 88
Finally 84 : 88
Divide it by 4.
And We get 21 : 22.
(26)
DEEKSHITHA said:
2 years ago
Can you say how come 42/5 :44/5?
(24)
Mahmoud Azmyy said:
1 year ago
We assume that the ratio is between 700 : and 800.
Increases 20% to 700 = 140 and 10% to 800 = 80.
840 : 880/80.
10.5 : 11 * 2.
= 21 : 22.
Increases 20% to 700 = 140 and 10% to 800 = 80.
840 : 880/80.
10.5 : 11 * 2.
= 21 : 22.
(12)
Sam said:
5 years ago
Given 7:8.
They said there is 20% and 10% increase in this ratio
Which means with this 7 , there is 20% increase of 7 .similarly for 8
That is;
7 + 7 * 20/100 : 8+8*10/100.
7+ 7/5 : 8+4/5,
21:22.
They said there is 20% and 10% increase in this ratio
Which means with this 7 , there is 20% increase of 7 .similarly for 8
That is;
7 + 7 * 20/100 : 8+8*10/100.
7+ 7/5 : 8+4/5,
21:22.
(10)
Varun said:
8 months ago
Given boys : girls = 7 : 8.
20% of increase in boys i.e 7 becomes 8.4( 10% of 7 means 0.7 therefore, 20% of 7 means 1.4, so we have to add 1.4 to 7)
And then 10% of 8 is 0.8 => girls = 8.8,
8.4 : 8.8 => 84/10 : 88/10.
=>84 : 88.
Further solved into 21: 22 (4 table)..
20% of increase in boys i.e 7 becomes 8.4( 10% of 7 means 0.7 therefore, 20% of 7 means 1.4, so we have to add 1.4 to 7)
And then 10% of 8 is 0.8 => girls = 8.8,
8.4 : 8.8 => 84/10 : 88/10.
=>84 : 88.
Further solved into 21: 22 (4 table)..
(8)
BharathShankar said:
1 year ago
7:8 be 140 : 160.
20% 0f 140 = 28.
140 + 28 = 168.
10% of 160 = 16.
160 + 16 = 176.
The ratio of 168:176 = 21 : 22.
20% 0f 140 = 28.
140 + 28 = 168.
10% of 160 = 16.
160 + 16 = 176.
The ratio of 168:176 = 21 : 22.
(7)
Raghual R said:
6 years ago
We can write 7:8 as 7x and 8x . If x = 1000.
Then 7000 : 8000.
20% of 7000 = 1400 then total boys = 7000+1400 = 8400;
10% of 8000 = 800 then total girls = 8800.
So the new ratio is 8400:8800 which is 21:22.
Then 7000 : 8000.
20% of 7000 = 1400 then total boys = 7000+1400 = 8400;
10% of 8000 = 800 then total girls = 8800.
So the new ratio is 8400:8800 which is 21:22.
(5)
Aman said:
7 years ago
7 : 8 = 70 : 80.
70 * 120/100 = 84,
80 * 110/100 = 88,
So, 84:88 = 21:22.
70 * 120/100 = 84,
80 * 110/100 = 88,
So, 84:88 = 21:22.
(4)
Yudhisthira sarapuria said:
6 years ago
20% increase mean 120/100 = 6/5.
(4)
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