Question:medium

In a company, 20% of the employees work in the manufacturing department. If the total salary obtained by all the manufacturing employees is one-sixth of the total salary obtained by all the employees in the company, then the ratio of the average salary obtained by the manufacturing employees to the average salary obtained by the non-manufacturing employees is

Updated On: Jan 13, 2026
  • 6 : 5
  • 4 : 5
  • 5 : 4
  • 5 : 6
Show Solution

The Correct Option is B

Solution and Explanation

Calculation of Average Salaries in Manufacturing and Non-Manufacturing Departments

Given a total of \(100x\) employees, with each earning \(100y\), we proceed with the analysis.

Step 1: Manufacturing Department

This department comprises 20% of the total employees, equating to \(20x\) individuals. Their collective salary is one-sixth of the organization's total payroll.

Total salary for the manufacturing department:

\(\frac{1}{6} \times 100x \times 100y = \frac{10000xy}{6}\)

Average salary in the manufacturing department:

\(\frac{\frac{10000xy}{6}}{20x} = \frac{500y}{6x}\)

Step 2: Non-Manufacturing Department

The non-manufacturing department accounts for the remaining 80% of the workforce, comprising \(80x\) employees. Their combined salary is:

\(\frac{50000xy}{6}\)

Average salary in the non-manufacturing department:

\(\frac{\frac{50000xy}{6}}{80x} = \frac{500y}{24x}\)

Step 3: Ratio of Average Salaries

The ratio of the average salary in the manufacturing department to that in the non-manufacturing department is calculated as follows:

\(\frac{\frac{500y}{6x}}{\frac{500y}{24x}} = \frac{500y}{6x} \times \frac{24x}{500y} = \frac{24}{6} = 4:15\)

Conclusion

The ratio of the average salary in the manufacturing department to the average salary in the non-manufacturing department is determined to be 4:15.

Therefore, the correct option is (B): 4:15.

Was this answer helpful?
0

Top Questions on Ratio and Proportion

Questions Asked in CAT exam

The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage.
In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. In a globalized era of the modern world, artists draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred.
Cultural appropriation occurs when elements from a particular culture are borrowed without proper understanding, respect, or acknowledgment. This leads to the commodification of sacred symbols, the reinforcement of stereotypes, and the erasure of the cultural context from which these elements originated. It is essential to recognize that the impact of cultural appropriation extends beyond the realm of artistic expression, influencing societal perceptions and perpetuating power imbalances.
View Solution