Study the pie chart given below and answer the following questions. Pie charts shows the percentage distribution of total students in five different schools (A, B, C, D and E) and percentage distribution of total boys in these five schools in year 2019.

Find the difference between the number of girls and boys in the school in which the number of girls is maximum?

The correct answer is 32.

Step-by-Step Explanation:

From the given pie charts, we can observe the following total counts for the year 2019:

• Total number of students in all five schools (A, B, C, D, E) = 5000

• Total number of boys in all five schools (A, B, C, D, E) = 2800

Step 1: Calculate the total number of students, boys, and girls for each school.

Number of Girls in a school = Total Students - Total Boys

For School A:

Total Students = 24% of 5000 = 0.24 × 5000 = 1200

Total Boys = 22% of 2800 = 0.22 × 2800 = 616

Total Girls = 1200 - 616 = 584

For School B:

Total Students = 15% of 5000 = 0.15 × 5000 = 750

Total Boys = 15% of 2800 = 0.15 × 2800 = 420

Total Girls = 750 - 420 = 330

For School C:

Total Students = 28% of 5000 = 0.28 × 5000 = 1400

Total Boys = 30% of 2800 = 0.30 × 2800 = 840

Total Girls = 1400 - 840 = 560

For School D:

Total Students = 12% of 5000 = 0.12 × 5000 = 600

Total Boys = 16% of 2800 = 0.16 × 2800 = 448

Total Girls = 600 - 448 = 152

For School E:

Total Students = 21% of 5000 = 0.21 × 5000 = 1050

Total Boys = 17% of 2800 = 0.17 × 2800 = 476

Total Girls = 1050 - 476 = 574

Step 2: Identify the school in which the number of girls is maximum.

Comparing the number of girls in each school:

• School A: 584

• School B: 330

• School C: 560

• School D: 152

• School E: 574

The maximum number of girls is in School A (584 girls).

Step 3: Calculate the difference between the number of girls and boys in School A.

For School A:

• Number of Girls = 584

• Number of Boys = 616

Difference = |Number of Girls - Number of Boys|

$\text{Difference}=616-584=32$

Thus, the required difference is 32.