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:
63 comments Page 3 of 7.
Abhishek chaturvedi said:
6 years ago
Let the boys be 7x and girls be 8x.
Boys 20 percent = 7x * 20/100 = 7X/5.
Girls 10 percent = 8x * 10/100 = 4x/5.
Total boys = 7X + 7x/5 = 42x/5.
Total girls = 8x+ 4x/5 = 44x/5.
So, ratio;
Total boys : total girls = 42x/5 /44x/5 = 22/22 = 21:22.
Boys 20 percent = 7x * 20/100 = 7X/5.
Girls 10 percent = 8x * 10/100 = 4x/5.
Total boys = 7X + 7x/5 = 42x/5.
Total girls = 8x+ 4x/5 = 44x/5.
So, ratio;
Total boys : total girls = 42x/5 /44x/5 = 22/22 = 21:22.
(1)
Paras said:
4 months ago
Let's suppose.
Total 15* 10 = 150
Boys 70
And girls 80.
20% of boys = 14 + 70 = 84.
10% of girls = 80 + 10 = 88.
84:88 divided by 2.
And the Answer is 21:22.
Total 15* 10 = 150
Boys 70
And girls 80.
20% of boys = 14 + 70 = 84.
10% of girls = 80 + 10 = 88.
84:88 divided by 2.
And the Answer is 21:22.
(1)
SAI PRASANNA said:
3 months ago
42/5:88/10.
88/10 is equal to 44/5.
Now,
42/5:44/5.
Denominators are equal. So,
42:44.
By reducing ,we get,
21:22.
88/10 is equal to 44/5.
Now,
42/5:44/5.
Denominators are equal. So,
42:44.
By reducing ,we get,
21:22.
(1)
Riya said:
9 years ago
The ratio of the cost price and selling price is 4:5 what is the profit percentage?
Does anyone know how to solve this?
Does anyone know how to solve this?
Muhammad Naeem said:
9 years ago
@Chaitra.
6 * 7 = 42 and 11 * 4 = 44.
6 * 7 = 42 and 11 * 4 = 44.
Chaitra said:
9 years ago
Ramesh sir, how you get 42:44?
Rosy said:
9 years ago
42/5 and 44/5 how is it 21 : 22? Please explain in detail.
Yamini saraswathi said:
8 years ago
Actually, I am getting answer as a
(120/100)*7=8.4 so approximately = 8.
(110/100)*8=8.8 so approximately = 9.
The answer is 8:9.
(120/100)*7=8.4 so approximately = 8.
(110/100)*8=8.8 so approximately = 9.
The answer is 8:9.
Abhishek Bansal said:
8 years ago
Given : B : G = 7:8.
This can be written as 7x : 8x ( X being the common multiplier).
Let x = 10 (For simple Calculation)
So Boys = 70 & Girls = 80.
Increased Of Boys by 20% = 70*20/100 = 14.
So After Increase boys would be = 70 + 14 = 84.
Similarly Girls = 80*10/100 = 8 & Girls After Increase would be = 80 + 8 = 88.
New Boys : New Girls = 84:88.
Simply 21:22.
This can be written as 7x : 8x ( X being the common multiplier).
Let x = 10 (For simple Calculation)
So Boys = 70 & Girls = 80.
Increased Of Boys by 20% = 70*20/100 = 14.
So After Increase boys would be = 70 + 14 = 84.
Similarly Girls = 80*10/100 = 8 & Girls After Increase would be = 80 + 8 = 88.
New Boys : New Girls = 84:88.
Simply 21:22.
Charan said:
8 years ago
The total percent of 7x is 100% and they increase 20% so we take it as 120*7x in the same way 110*8x is taken.
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