Question Details

Direction for questions 1 to 5:


Based on the data in the table, answer the questions that follow. The following table presents the percentage breakup of employees and the ratio of male to female employees working in five different organisations (A to E). There is a total number of 35,000 employees working in all five organisations.


What is the sum total of the number of females in Organisation D and the number of males in Organisation E?

Options

A

4,375

B

4,385

C

4,395

D

4,335

Show Answer

Correct Answer :

Option A

4,375

Solution :

The correct option is 4,375.

Based on the table provided in the image, we can find the percentage breakup of employees and the male-to-female ratios for the organisations mentioned in the question:

Total number of employees across all five organisations: 35,000

1. Number of females in Organisation D:
- From the table, the percentage of employees in Organisation D is 15%.
- The ratio of male to female employees in Organisation D is 2:3.

First, calculate the total number of employees working in Organisation D:

Total employees in D = 15 % of 35,000 = 15 100 × 35,000 = 5,250

Since the male to female ratio is 2:3, the fractional share of females in Organisation D is:

3 2 + 3 = 3 5

Now, calculate the number of female employees in Organisation D:

Number of females in D = 3 5 × 5,250 = 3 × 1,050 = 3,150

2. Number of males in Organisation E:
- From the table, the percentage of employees in Organisation E is 14%.
- The ratio of male to female employees in Organisation E is 1:3.

First, calculate the total number of employees working in Organisation E:

Total employees in E = 14 % of 35,000 = 14 100 × 35,000 = 4,900

Since the male to female ratio is 1:3, the fractional share of males in Organisation E is:

1 1 + 3 = 1 4

Now, calculate the number of male employees in Organisation E:

Number of males in E = 1 4 × 4,900 = 1,225

3. Sum Total Calculation:
Finally, calculate the sum of the female employees in Organisation D and the male employees in Organisation E:

Sum Total = 3,150 + 1,225 = 4,375

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