Direction : Study the following pie chart carefully and answer the following questions given beside.

The pie chart given below represents percentage of number of students in five different schools viz. A, B, C, D and E. The total no. of students in all the schools is 1,68,000.

The below table shows the ratio of girls and boys in the given five schools.

 School Girls : Boys A 3 : 4 B 2 : 3 C 5 : 3 D 1 : 2 E 4 : 1

Important for :
1
Find the ratio of number of girls from each school.
» Explain it
C
No. of girls in school A

 = 3 × 28 × 168000 = 20160 7 100

No. of girls in school B

 = 2 × 15 × 168000 = 10080 5 100

No. of girls in school C

 = 5 × 24 × 168000 = 25200 8 100

No. of girls in school D

 = 1 × 18 × 168000 = 10080 3 100

No. of girls in school E

 = 4 × 15 × 168000 = 20160 5 100

Therefore ratio of girls = 20160 : 10080 : 25200 : 10080 : 20160

= 4 : 2 : 5 : 2 : 4

Hence, option C is correct.

2
If 14.28% students of school A change their school and go to school D, what will be the percentage change in the number of students of school D.
» Explain it
B
Total no. of students of school A

 = 28 × 168000 = 47040 100

No. of students who change their school = 14.28% of 47040 = 6720

Total no. of students in school D

 = 18 × 168000 = 30240 100

Therefore, percentage change in the number of students of school D

 = 6720 × 100 = 22.22% 30240

Hence, option B is correct.

3
What is the ratio of average number of students from school A and D to that of the average number of students from school B, C and E?
» Explain it
C
No. of students from school A

 = 28 × 168000 = 47040 100

No. of students from school D

 = 18 × 168000 = 30240 100

Total no. of students from school A and D = 77280

Average no. of students from school A and D

 = 77280 = 38640 2

No. of students from school B

 = 15 × 168000 = 25200 100

No. of students from school C

 = 24 × 168000 = 40320 100

No. of students from school E

 = 15 × 168000 = 25200 100

Total no. of students from school B, C and E = 90720

Average no. of students from school B, C and E

 = 90720 = 30240 3

Therefore, Required ratio = 38640 : 30240 = 23 : 18

Hence, option C is correct.

4
Number of students of school E is what percent of the difference of the number of students of school C and school B?
» Explain it
D
No. of students from school B

 = 15 × 168000 = 25200 100

No. of students from school C

 = 24 × 168000 = 40320 100

Difference between the no. of students of school C and school B = 40320 – 25200 = 15120

No. of students from school E

 = 15 × 168000 = 25200 100

 Therefore, reqd. answer = 25200 × 100 = 166.67% 15120

Hence, option D is correct.

5
Find the average number of boys from all the schools.
» Explain it
B
No. of boys in school A

 = 4 × 28 × 168000 = 26880 7 100

No. of boys in school B

 = 3 × 15 × 168000 = 15120 5 100

No. of boys in school C

 = 3 × 24 × 168000 = 15120 8 100

No. of boys in school D

 = 2 × 18 × 168000 = 20160 3 100

No. of boys in school E

 = 1 × 15 × 168000 = 5040 5 100

Total no. of boys in all the schools

 = 82320 = 16464 5

Hence, option B is correct.