Find the difference between total private and government projects handled in all the quarters.

The graph given below shows the percentage distribution of total number projects (private + public) handled in 4 quarters Q-1, Q-2, Q-3 and Q-4 in years 2022. The table shows the percentage of private projects handled wrt projects handled in respective quarters and number of government projects. Read the pie chart and table carefully and answer the following questions.

Quarters	Percentage of private projects	Number of government projects
Q-1	50	300
Q-2	60	160
Q-3	40	420
Q-4	30	210

The correct answer is 180.

To find the difference between the total private projects and total government projects handled across all quarters, we first need to determine the number of private projects in each quarter using the data from the table and the pie chart.

The pie chart displays the percentage distribution of the total projects across the four quarters as follows:
- 1st Qtr (Q-1): 30%
- 2nd Qtr (Q-2): 20%
- 3rd Qtr (Q-3): 35%
- 4th Qtr (Q-4): 15%

For each quarter, the total number of projects is composed of private projects and government projects. Therefore:
Percentage of Government Projects = 100% - Percentage of Private Projects

Let us calculate the total projects and private projects for each quarter:

1. Quarter 1 (Q-1):
- Percentage of private projects = 50%
- Percentage of government projects = 100% - 50% = 50%
- Number of government projects = 300
Since 50% of the total Q-1 projects corresponds to 300 government projects:

Total projects in Q-1 = $\frac{300}{0.50}=600$

- Number of private projects in Q-1 = 600 - 300 = 300

2. Quarter 2 (Q-2):
- Percentage of private projects = 60%
- Percentage of government projects = 100% - 60% = 40%
- Number of government projects = 160
Since 40% of the total Q-2 projects corresponds to 160 government projects:

Total projects in Q-2 = $\frac{160}{0.40}=400$

- Number of private projects in Q-2 = 60% of 400 = 240

3. Quarter 3 (Q-3):
- Percentage of private projects = 40%
- Percentage of government projects = 100% - 40% = 60%
- Number of government projects = 420
Since 60% of the total Q-3 projects corresponds to 420 government projects:

Total projects in Q-3 = $\frac{420}{0.60}=700$

- Number of private projects in Q-3 = 40% of 700 = 280

4. Quarter 4 (Q-4):
- Percentage of private projects = 30%
- Percentage of government projects = 100% - 30% = 70%
- Number of government projects = 210
Since 70% of the total Q-4 projects corresponds to 210 government projects:

Total projects in Q-4 = $\frac{210}{0.70}=300$

- Number of private projects in Q-4 = 30% of 300 = 90

Now, we sum the projects across all quarters:

- Total Government Projects = 300 (Q-1) + 160 (Q-2) + 420 (Q-3) + 210 (Q-4) = 1090
- Total Private Projects = 300 (Q-1) + 240 (Q-2) + 280 (Q-3) + 90 (Q-4) = 910

Finally, calculate the difference between the total government projects and total private projects:

Difference = 1090 - 910 = 180