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Ratio of average salaries in company

CAT 2023 Slot 2 · Quantitative Ability · Easy · Arithmetic

This is an easy Quantitative Ability question from the CAT 2023 Slot 2 paper. It tests Arithmetic. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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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

  1. A.

    4 : 5

  2. B.

    5 : 6

  3. C.

    5 : 4

  4. D.

    6 : 5

Answer

A

Explanation

Let total number of employees = 100100.

  • Manufacturing employees = 2020
  • Non-manufacturing employees = 8080

Let total salary of all employees = SS.

  • Total salary of manufacturing employees = S6\frac{S}{6}
  • Total salary of non-manufacturing employees = S−S6=5S6S - \frac{S}{6} = \frac{5S}{6}

Average salary of manufacturing employees =S/620=S120= \frac{S/6}{20} = \frac{S}{120}.

Average salary of non-manufacturing employees =5S/680=5S480=S96= \frac{5S/6}{80} = \frac{5S}{480} = \frac{S}{96}.

Ratio =S/120S/96=96120=45=4:5= \frac{S/120}{S/96} = \frac{96}{120} = \frac{4}{5} = 4 : 5.

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