Directions: The following pie-charts shows the percentage distribution of the total students passed from six different colleges. The second pie-chart shows the percentage distribution of the total girls passed from six different colleges. The total number of passed students is 7.5 thousand and 40% of them are girls.

Chart I

Total students = 7500

Chart II

Total girls = 3000
 
1
In which of the following colleges is the ratio of the number of passed boys to the number of passed girls 1 : 1?
» Explain it
A
Total number of students in College A

= 7500 ×  16  = 1200
100

Number of girls students in College A

= 3000 ×  20  = 600
100

∴    Number of boy students in College A = 1200 – 600 = 600.

∴    Reqd ratio = 1 : 1

Hence, option A is correct.

2
In which of the following colleges is the number of passed girls students more than the number of passed boy students?
» Explain it
C
While solving this question through hit and trial method we'll start with college D because the given percentage of girls is highest of all in college D.

Total Number students in College D

= 7500 ×  17  = 1275
100

Number of girl students in College D

= 3000 ×  22  = 660
100

Number of boy students in College D = 1275 – 660 = 615.

Hence, option C is correct.

3
In which of the following colleges the difference between the number of passed boy students and the number of passed girl students is the maximum?
» Explain it
E
Smarter approach:

We can actually solve this question intuitively. We can observe that the highest percentage of boys is in college F and in the same college the percentage of girls is also 18% of 3000 and their difference will obviously be the highest of all the given options considering their percentage values in mind.

Hence, option E is correct.
 
4
The boys students who passed from College E is approximately what per cent of the girl students passed from College C?
» Explain it
D
Number of boy students in College E

= 7500 ×  15  – 3000 ×  14  
100 100

= 1125 – 420 = 705

Number of girl students in College C

= 3000 ×  10  = 300
100

∴  Reqd % =  705  × 100 = 235%
300

Hence, option D is correct.

5
The number of boys who passed from College B is approximately what per cent more or less than the number of girls who passed from the same college?
» Explain it
C
Total number of students in College B = 7500 ×  18  = 1350
100

Total number of girl students in College B = 3000 ×  16  = 480
100

Number of boy students in College B = 1350 – 480 = 870
 
∴    Reqd % =  (870 – 480)  × 100 =  39000  = 81.25% ≈ 81%
480 480

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