The pie chart shows the total number of students (Science + Commerce) in five different years from 2012 to 2016, with a total of 2400 students. Another pie chart shows the percentage distribution of commerce students for these years.
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1755941860/aptidude_questions/bfpvps2yhss3wuagggfp.png)
Given that commerce students in 2013 are 8 less than those in 2015, find the difference between the average number of students in 2012 and 2016 and the total number of science students in 2015.

Question

The pie chart shows the total number of students (Science + Commerce) in five different years from 2012 to 2016, with a total of 2400 students. Another pie chart shows the percentage distribution of commerce students for these years. 
![image.png](https://res.cloudinary.com/aptidude/image/upload/v1755941860/aptidude_questions/bfpvps2yhss3wuagggfp.png)
Given that commerce students in 2013 are 8 less than those in 2015, find the difference between the average number of students in 2012 and 2016 and the total number of science students in 2015.

Accepted Answer

**Solution:**

1. From the data, total students in 2012 = 480 and in 2016 = 192.

2. Calculate the average number of students in 2012 and 2016:
   $$	ext{Average} = \frac{480 + 192}{2} = \frac{672}{2} = 336$$

3. Total science students in 2015 = 456.

4. Find the difference between the average number of students in 2012 and 2016 and the science stude![image.png](https://res.cloudinary.com/aptidude/image/upload/v1755942173/aptidude_questions/yovaiunyxnzt60qhj4mn.png)nts in 2015:
   $$336 - 456 = -120$$

5. Since difference is asked, take the absolute value:
   $$| -120 | = 120$$

**Answer:** 120

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