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. Pie charts displaying the breakup of 6,000 employees across departments and the distribution of 1,200 total promotions The difference between the percentage of the number of employees, who get promotions from the HR department and IT department is:

Aptitude Percentage Difficulty: Medium
Choose an option
  • A
    0.50%
  • B
    0.75%
  • C
    1.25%
  • D
    1.33%
  • E
    1.60%

Answer

Correct Answer: 1.33%

Explanation

### Concept & Logic To find the percentage of employees who get promoted within a specific department, we calculate the number of promoted employees in that department and divide it by the total number of employees in that same department. $$ \text{Percentage} = \left( \frac{\text{Promoted in Dept}}{\text{Total in Dept}} \right) \times 100 $$ ### Step-by-Step Solution * **HR Department:** * Total employees in HR = $25\%$ of $6000 = 1500$. * Promoted employees in HR = $15\%$ of $1200 = 180$. * Percentage promoted = $\left(\frac{180}{1500}\right) \times 100 = 12\%$. * **IT Department:** * Total employees in IT = $30\%$ of $6000 = 1800$. * Promoted employees in IT = $20\%$ of $1200 = 240$. * Percentage promoted = $\left(\frac{240}{1800}\right) \times 100 = 13.33\%$. * **Difference:** * $13.33\% - 12\% = 1.33\%$. ### Exam Strategy & Shortcut Instead of calculating the exact numbers, use ratios. Let total employees be $6000 = 5 \times 1200$. Let $P$ be total promotions $= 1200$. HR total = $0.25 \times 5P = 1.25P$. HR promoted = $0.15P$. % = $(0.15/1.25) \times 100 = 12\%$. IT total = $0.30 \times 5P = 1.50P$. IT promoted = $0.20P$. % = $(0.20/1.50) \times 100 = 13.33\%$. Difference = $13.33\% - 12\% = 1.33\%$. ### Common Pitfall A common mistake is directly subtracting the pie chart percentages (e.g., $20\% - 15\%$ for IT and HR promotions) without realizing these percentages are taken from different base totals ($1200$ vs $6000$). ### Final Answer Therefore, the correct answer is **1.33%**.
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