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.

What is the ratio of total girls from school C and D together to total girls from school B and E together?

The correct option is 89 : 113.

1. Analyze the given data from the pie charts:
From the provided image, we have two pie charts showing the percentage distribution of students across five schools (A, B, C, D, and E):

• Total Students = 5000
– School A: 24%
– School B: 15%
– School C: 28%
– School D: 12%
– School E: 21%

• Total Boys = 2800
– School A: 22%
– School B: 15%
– School C: 30%
– School D: 16%
– School E: 17%

2. Calculate the number of girls in each relevant school:
The number of girls in any school is calculated using the formula:

$\text{Girls}=\text{Total Students}-\text{Total Boys}$

• School B:
Total students in B = 15% of 5000 = 0.15 × 5000 = 750
Total boys in B = 15% of 2800 = 0.15 × 2800 = 420
Total girls in B = 750 − 420 = 330

• School C:
Total students in C = 28% of 5000 = 0.28 × 5000 = 1400
Total boys in C = 30% of 2800 = 0.30 × 2800 = 840
Total girls in C = 1400 − 840 = 560

• School D:
Total students in D = 12% of 5000 = 0.12 × 5000 = 600
Total boys in D = 16% of 2800 = 0.16 × 2800 = 448
Total girls in D = 600 − 448 = 152

• School E:
Total students in E = 21% of 5000 = 0.21 × 5000 = 1050
Total boys in E = 17% of 2800 = 0.17 × 2800 = 476
Total girls in E = 1050 − 476 = 574

3. Calculate the required combined totals:
• Total girls from school C and D together:

$\text{Girls (C + D)}=560+152=712$

• Total girls from school B and E together:

$\text{Girls (B + E)}=330+574=904$

4. Find the ratio:
The ratio of girls from (C + D) to girls from (B + E) is:

$\text{Ratio}=\frac{712}{904}$

Dividing both the numerator and denominator by 8:

$\frac{712÷8}{904÷8}=\frac{89}{113}$

Therefore, the required ratio is 89 : 113.