In the years 2018 and 2019, the ratio between the number of employees working…

2024

In the years 2018 and 2019, the ratio between the number of employees working in all the six offices together is

Answer: C. 37:36ConceptTo compare totals from two groups, first add every component within each group. Then write the first total to the second total as a ratio and divide…

  1. A.

    13:11

  2. B.

    13:14

  3. C.

    37:36

  4. D.

    4:3

Show answer & explanation

Correct answer: C

Concept

To compare totals from two groups, first add every component within each group.

Then write the first total to the second total as a ratio and divide both terms by their greatest common divisor.

Application

  1. Total employees in 2018 = 290 + 176 + 222 + 240 + 280 + 272 = 1480.

  2. Total employees in 2019 = 256 + 152 + 240 + 224 + 304 + 264 = 1440.

  3. Required ratio (2018 : 2019) = 1480 : 1440.

  4. The greatest common divisor of 1480 and 1440 is 40, so dividing both terms by 40 gives 37 : 36.

Cross-check

Multiplying 37 and 36 by 40 reproduces 1480 and 1440 respectively. Therefore, the required ratio is 37 : 36.

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