Percentages Question 1 - CAT 2022

Question

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:

  • A. 6:5
  • B. 4:5
  • C. 5:4
  • D. 5:6

Step-by-Step Explanation

Assume there are 100 employees with a total salary of 100 units.

  • Manufacturing employees = 20
  • Non-manufacturing employees = 80

Manufacturing employees receive one-sixth of the total salary.

Average salary of manufacturing employees:

(100 / 6) / 20 = 5 / 6

Average salary of non-manufacturing employees:

(500 / 6) / 80 = 25 / 24

Required ratio:

5 / 6 : 25 / 24 = 4 : 5

Hence, the correct answer is Option B.

💡 FundaMakers Tip: In percentage questions involving averages, assume convenient values like 100 employees or 100 units of salary. This makes the calculations much simpler.

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