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 $600$ male workers, $500$ were members of Trade Union and fifty per cent of the male workers were married. The unmarried non-member male employees were $60\displaystyle which formed ten per cent of the total male employees. The unmarried non-members of the employees were $80. On the basis of this information, the ratio of married male non-members to the married female non-members is

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option c — $4:1$

All Options:

  • A$1:3$
  • B$3:1$
  • C$4:1$
  • D$5:1$

Detailed Solution & Explanation

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