The pie charts below show the distribution of science and commerce students over five years from 2012 to 2016. The total number of students over these years is 2400. The first pie chart shows the percentage of total students each year, and the second pie chart shows the percentage of commerce students each year.
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1755941908/aptidude_questions/xz9xwsgod1f3xgebrb51.png)
Note:
- Total students = Science students + Commerce students.
- Commerce students in 2013 are 8 less than those in 2015.

In 2017, the total number of students is 20\% of the total students in 2012, and the number of commerce students is 25\% less than that in 2015.

What is the number of science students in 2017?

Question

The pie charts below show the distribution of science and commerce students over five years from 2012 to 2016. The total number of students over these years is 2400. The first pie chart shows the percentage of total students each year, and the second pie chart shows the percentage of commerce students each year.
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1755941908/aptidude_questions/xz9xwsgod1f3xgebrb51.png)
Note:
- Total students = Science students + Commerce students.
- Commerce students in 2013 are 8 less than those in 2015.

In 2017, the total number of students is 20\% of the total students in 2012, and the number of commerce students is 25\% less than that in 2015.

What is the number of science students in 2017?

Accepted Answer

**Solution:**

1. From the data, total students in 2012 = 38\% of 2400 = $0.38 	imes 2400 = 912$ (Note: The extracted data shows 480, but based on the pie chart percentage, it is 912; we will use the extracted table values for consistency.)

Actually, from the table:
   - Total students in 2012 = 480
   - Commerce students in 2015 = 120

2. Total students in 2017 = 20\% of total students in 2012 = $0.20 	imes 480 = 96$ stud![image.png](https://res.cloudinary.com/aptidude/image/upload/v1755942238/aptidude_questions/igjowvcus501dqix810n.png)ents.

3. Commerce students in 2017 are 25\% less than in 2015:
   - Commerce students in 2015 = 120
   - 25\% less means $120 - 0.25 	imes 120 = 120 - 30 = 90$ commerce students in 2017.

4. Science students in 2017 = Total students in 2017 - Commerce students in 2017

$$96 - 90 = 6$$

**Answer:** 6

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