Statistical Representation of DataMCQMTP March 22Question 2784 of 295
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In a study relating to the laborer's of a jute mill in West Bengal, the following information was collected. Twenty per cent of the total employees were females and forty per cent of them were married. Thirty female workers were not members of Trade Union. Compared to this, out of 600\displaystyle 600 male workers, 500\displaystyle 500 were members of Trade Union and fifty per cent of the male workers were married. The unmarried non-member male employees were 60\displaystyle 60 which formed ten per cent of the total male employees. The unmarried non-members of the employees were 80\displaystyle 80. On the basis of this information, the ratio of married male non-members to the married female non-members is

Options

A1:3\displaystyle 1:3
B3:1\displaystyle 3:1
C4:1\displaystyle 4:1
D5:1\displaystyle 5:1
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Correct Answer

Option c4:1\displaystyle 4:1

All Options:

  • A1:3\displaystyle 1:3
  • B3:1\displaystyle 3:1
  • C4:1\displaystyle 4:1
  • D5:1\displaystyle 5:1

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Detailed Solution & Explanation

Let the total number of employees be N\displaystyle N. 1. Females represent 20%\displaystyle 20\% of the total employees, so female workers = 0.20N\displaystyle 0.20 N and male workers = 0.80N\displaystyle 0.80 N. 2. Since the number of male workers is given as 600\displaystyle 600: 0.80N=600    N=7500.80 N = 600 \implies N = 750 Thus, female workers = 0.20×750=150\displaystyle 0.20 \times 750 = 150. 3. Female worker details: - Married females = 40%\displaystyle 40\% of 150=60\displaystyle 150 = 60. - Unmarried females = 15060=90\displaystyle 150 - 60 = 90. - Female non-members = 30\displaystyle 30. 4. Male worker details: - Married males = 50%\displaystyle 50\% of 600=300\displaystyle 600 = 300. - Unmarried males = 600300=300\displaystyle 600 - 300 = 300. - Male members = 500\displaystyle 500. - Male non-members = 600500=100\displaystyle 600 - 500 = 100. - Unmarried male non-members = 60\displaystyle 60 (which is 10%\displaystyle 10\% of 600\displaystyle 600). 5. Calculating married male non-members: Married male non-members=Total male non-membersUnmarried male non-members=10060=40\text{Married male non-members} = \text{Total male non-members} - \text{Unmarried male non-members} = 100 - 60 = 40 6. Calculating unmarried female non-members: Total unmarried non-members=80\text{Total unmarried non-members} = 80 Unmarried female non-members=Total unmarried non-membersUnmarried male non-members=8060=20\text{Unmarried female non-members} = \text{Total unmarried non-members} - \text{Unmarried male non-members} = 80 - 60 = 20 7. Calculating married female non-members: Married female non-members=Total female non-membersUnmarried female non-members=3020=10\text{Married female non-members} = \text{Total female non-members} - \text{Unmarried female non-members} = 30 - 20 = 10 8. Ratio of married male non-members to married female non-members: Ratio=4010=4:1\text{Ratio} = \frac{40}{10} = 4:1 This corresponds to Option C. Hence, **Option C** is the correct answer.

About This Chapter: Statistical Representation of Data

Paper

Paper 3: Quantitative Aptitude

Weightage

2-4 Marks

Key Topics

Data, Frequency Distribution, Graphical Representation

This chapter covers Data, Frequency Distribution, Graphical Representation and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 2-4 Marks weightage. Focus on understanding core concepts rather than memorizing.

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