The pie chart shows the distribution of students in five government schools out of a total of 15,000 students. The percentage of students in each school is as follows:

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1757411686/aptidude_questions/czte0tb6gnvix7tjsgnw.png)

Find the difference between the total number of students studying in schools A and D together and those studying in schools B and C together.

Question

The pie chart shows the distribution of students in five government schools out of a total of 15,000 students. The percentage of students in each school is as follows:

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1757411686/aptidude_questions/czte0tb6gnvix7tjsgnw.png)

Find the difference between the total number of students studying in schools A and D together and those studying in schools B and C together.

Accepted Answer

**Solution:**

1. Total number of students = 15,000.

2. Calculate the number of students in each school:

- School A: 20% of 15,000 = $ $\frac{20}{100} \times 15000 = 3000$ $

- School B: 10% of 15,000 = $ $\frac{10}{100} \times 15000 = 1500$ $

- School C: 25% of 15,000 = $ $\frac{25}{100} \times 15000 = 3750$ $

3. For schools D and E, use the central angles to find their percentages:

- Total angle in a circle = 360°

- School D angle = 54°

- School E angle = 108°

- Percentage for School D = $ $\frac{54}{360} \times 100 = 15\%$ $

- Number of students in School D = $ $15\% \times 15000 = 2250$ $

4. Calculate the total students in A and D together:

$ 3000 + 2250 = 5250 $

5. Calculate the total students in B and C together:

$ 1500 + 3750 = 5250 $

6. Find the difference between these two totals:

$ 5250 - 3750 = 1500 $

**Answer:** 1500

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