Read the following passage and answer the given questions. Study the following given pie - charts carefully and answer the questions given below. The first pie chart represents the breakup of the number of employees working in different departments of an organization and the second pie chart represents the distribution of promotion of employees. What is the difference between the average number of employees who were promoted in the IT, Production, and Sells departments and the average of number of total employees in these three departments?

### Concept & Formula The problem requires finding the difference between two averages: the average of promoted employees in three specific departments and the average of total employees in those same departments. $$ \text{Average} = \frac{\text{Sum of values}}{\text{Number of values}} $$ ### Step-by-Step Solution * **Average of Total Employees:** * Departments: IT ($30\%$), Production ($15\%$), Sells ($10\%$). * Total percentage = $30\% + 15\% + 10\% = 55\%$. * Total employees in these departments = $55\%$ of $6000 = 3300$. * Average = $\frac{3300}{3} = 1100$. * **Average of Promoted Employees:** * Departments: IT ($20\%$), Production ($15\%$), Sells ($20\%$). * Total percentage = $20\% + 15\% + 20\% = 55\%$. * Total promoted in these departments = $55\%$ of $1200 = 660$. * Average = $\frac{660}{3} = 220$. * **Difference:** * Difference = $1100 - 220 = 880$. ### Exam Strategy & Shortcut Instead of calculating the totals first, calculate the average percentage and then apply it to the base. Average total employees = $(55\% / 3)$ of $6000 = 55 \times 20 = 1100$. Average promoted = $(55\% / 3)$ of $1200 = 55 \times 4 = 220$. Difference = $1100 - 220 = 880$. ### Common Pitfall Misreading the question as the difference between the total number of employees and total promoted, forgetting to divide by 3 to find the averages first. ### Final Answer Therefore, the correct answer is **880**.