Directions: The following questions are based on the pie-charts given below:

Percentage-wise distribution of students studying in Arts and Commerce in seven different institutions – A, B, C, D, E, F and G

Total number of students
in Arts = 3800



Total number of students
in Commerce = 4200
Important for :
1
What is the total number of students studying Arts in Institutes A and G together?
» Explain it
A
Total number of students studying Arts in Institutes A and G together = 15% + 12% = 27% of 3800

27  × 3800 = 27 × 38 = 1026.
100


Hence, option A is correct.

2
How many students from Institute B study Arts and Commerce?
» Explain it
C
Number of students studying in Art Institute B = 8% of 3800

= 3800 ×  8  = 304
100

Number of students studying in Commerce in Institute B = 17% of 4200

= 4200 ×  17  = 714
100

∴  Total number of students = 304 + 714 = 1018.

Hence, option C is correct.

3
The ratio of the number of students studying Arts to that studying commerce in Institute E is.
» Explain it
B
Number of students studying Arts in Institute E = 14% of 3800

= 3800 ×  14  = 532
100

Number of students studying Commerce in Institute E = 18% of 4200

= 4200 ×  18  = 756
100

∴  Required ratio = 532 : 756 = 19 : 27.

Hence, option B is correct.

4
The ratio of the number of students studying Arts in Institute E to those studying commerce in Institute D is
» Explain it
C
Number of students studying in Institute E = 532

Number of students studying Commerce in Institute D = 14% of 4200
 
= 4200 ×  14  = 588
100

∴  Required ratio =  532  = 19 : 21.
588

Hence, option C is correct.

5
How many students in institutes B and D together study commerce?
» Explain it
B
Total number of students studying commerce in Institute B and D together = 17% + 14% = 31% of 4200

= 4200 ×  31  = 1302.
100

Hence, option B is correct.

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