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.
The total number of employees promoted in the Account, IT, and Sells department together is what percent of the total number of employees in these departments?
Aptitude
Percentage
Difficulty: Medium
Choose an option
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A18.33%
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B23.33 %
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C22.02 %
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D33.13 %
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ENone of these
Answer
Correct Answer: 23.33 %
Explanation
### Concept & Logic
Calculate the combined total of promoted employees in the specified departments and divide it by the combined total of all employees in those departments to find the aggregate percentage.
### Step-by-Step Solution
* **Total Promoted in Target Departments:**
* Target departments: Account, IT, Sells.
* Percentage of total promotions = $30\% + 20\% + 20\% = 70\%$.
* Total promoted = $70\%$ of $1200 = 840$.
* **Total Employees in Target Departments:**
* Percentage of total employees = $20\% + 30\% + 10\% = 60\%$.
* Total employees = $60\%$ of $6000 = 3600$.
* **Calculate Percentage:**
* Required percentage = $\left(\frac{840}{3600}\right) \times 100 = \left(\frac{84}{360}\right) \times 100 = \left(\frac{7}{30}\right) \times 100 \approx 23.33\%$.
### Exam Strategy & Shortcut
Work with fractions of the total to avoid large multiplications. The total promotions base is $1/5$th of the total employees base.
Promoted fraction = $70\%$ of $1/5 = 14\%$ of total company base.
Total employees fraction in these depts = $60\%$ of total company base.
Percentage = $(14 / 60) \times 100 = 23.33\%$.
### Common Pitfall
A frequent error is to take the average of the individual promotion rates of the three departments rather than calculating the pooled total divided by the pooled base.
### Final Answer
Therefore, the correct answer is **23.33 %**.