The total number of students in five schools A, B, C, D, and E is 5000. The percentage distribution of total students and total boys in these schools in 2019 is given below:

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1758880858/aptidude_questions/vxkxezo914rwecm8pqzx.png)
What is the ratio of total girls from schools C and D together to total girls from schools B and E together?

Question

The total number of students in five schools A, B, C, D, and E is 5000. The percentage distribution of total students and total boys in these schools in 2019 is given below:

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1758880858/aptidude_questions/vxkxezo914rwecm8pqzx.png)
What is the ratio of total girls from schools C and D together to total girls from schools B and E together?

Accepted Answer

**Solution:**

1. Calculate the total number of students in each school:
   - School A: 24% of 5000 = $0.24 	imes 5000 = 1200$
   - School B: 15% of 5000 = $0.15 	imes 5000 = 750$
   - School C: 28% of 5000 = $0.28 	imes 5000 = 1400$
   - School D: 12% of 5000 = $0.12 	imes 5000 = 600$
   - School E: 21% of 5000 = $0.21 	imes 5000 = 1050$

2. Calculate the total number of boys in each school (given total boys = 2800):
   - School A: 22% of 2800 = $0.22 	imes 2800 = 616$
   - School B: 15% of 2800 = $0.15 	imes 2800 = 420$
   - School C: 30% of 2800 = $0.30 	imes 2800 = 840$
   - School D: 16% of 2800 = $0.16 	imes 2800 = 448$
   - School E: 17% of 2800 = $0.17 	imes 2800 = 476$

3. Find the number of girls in each school by subtracting boys from total students:
   - School C girls = $1400 - 840 = 560$
   - School D girls = $600 - 448 = 152$
   - School B girls = $750 - 420 = 330$
   - School E girls = $1050 - 476 = 574$

4. Calculate the total girls in schools C and D together:
   $$560 + 152 = 712$$

5. Calculate the total girls in schools B and E together:
   $$330 + 574 = 904$$

6. Find the ratio of girls from C and D to girls from B and E:
   $$\frac{712}{904} = \frac{89}{113}$$

**Answer:** $89 : 113$

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