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. If the number of female employees who were promoted in HR department were 120 and the ratio of male and female employees in HR department is 7 : 5, then the ratio of the total number of male employees in the HR department to the number of male employees promoted in the same department was:

### Concept & Logic To find the required ratio, we need to calculate two values: the total number of male employees in the HR department, and the number of male employees promoted in the HR department. We use the given total values and percentages to find these subsets. ### Step-by-Step Solution 1. **Find total male employees in HR:** Total employees = $6000$ Total HR employees = $25\%$ of $6000 = 1500$ Ratio of Male:Female in HR = $7:5$ Total Male in HR = $\frac{7}{7+5} \times 1500 = \frac{7}{12} \times 1500 = 7 \times 125 = 875$ 2. **Find male employees promoted in HR:** Total promoted employees = $1200$ Total HR promoted = $15\%$ of $1200 = 180$ Given female promoted in HR = $120$ Male promoted in HR = Total HR promoted - Female promoted in HR = $180 - 120 = 60$ 3. **Calculate the final ratio:** Ratio = (Total male in HR) : (Male promoted in HR) Ratio = $875 : 60$ Dividing both sides by $5$: Ratio = $175 : 12$ ### Exam Strategy & Shortcut Calculate only what is asked. You do not need to find the number of female employees in HR since it is not required for the final ratio. Break down percentages efficiently: $25\%$ is $1/4$th, so $6000 / 4 = 1500$. $15\%$ of $1200$ is $1200 \times 0.15 = 12 \times 15 = 180$. ### Common Pitfall A common mistake is applying the $7:5$ ratio to the promoted employees instead of the total employees, or confusing the total numbers (6000 vs 1200) when taking percentages. ### Final Answer Therefore, the correct answer is **175 : 12**.