The pie chart below shows the distribution of the number of students in five government schools. The total number of students is $15,000$. The central angles for the schools are as follows:

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1757411681/aptidude_questions/t6h4fkhotv9linwluacz.png)

If the fee per student in schools B, C, and D are Rs. 50, Rs. 30, and Rs. 40 respectively, what is the total fee collected from these three schools?

Question

The pie chart below shows the distribution of the number of students in five government schools. The total number of students is $15,000$. The central angles for the schools are as follows:

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1757411681/aptidude_questions/t6h4fkhotv9linwluacz.png)

If the fee per student in schools B, C, and D are Rs. 50, Rs. 30, and Rs. 40 respectively, what is the total fee collected from these three schools?

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 = $0.20 	imes 15,000 = 3,000$

- School B = 10\% of 15,000 = $0.10 	imes 15,000 = 1,500$

- School C = 25\% of 15,000 = $0.25 	imes 15,000 = 3,750$

- School D: Given angle = $54^\circ$
  - Total angle in pie chart = $360^\circ$
  - Percentage for D = $\frac{54}{360} 	imes 100 = 15\%$
  - Number of students in D = 15\% of 15,000 = $0.15 	imes 15,000 = 2,250$

- School E: Angle = $108^\circ$ (not required for fee calculation)

3. Calculate total fee collection from schools B, C, and D:

- Fee from B = $1,500 	imes 50 = 75,000$

- Fee from C = $3,750 	imes 30 = 112,500$

- Fee from D = $2,250 	imes 40 = 90,000$

4. Total fee collected = $75,000 + 112,500 + 90,000 = 277,500$

**Answer:** Rs. 277,500

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