Question

Study the information given below carefully and answer the question that follows: The following table shows the percentage distribution of workforce in India and the ratio of male to female workforce in India in various sectors during a particular year. Further, it's known that the total work force in India during the given year was 6000000. The number of male workforce in SA and MA sectors put together is approximately what percent of the total number of workforce in the PT sector? 

• A. 87%
• B. 85%
• C. 90%
• D. 89%
• E. 88%

Hint:

For ratio problems, total parts = sum of ratio terms. Male = (M/(M+F)) × Total.

Answer 1

The Correct Option is A

Step 1: Calculating Workforce in Each Sector:
Total workforce = 6,000,000.
SA sector: 12% = \(0.12 \times 6,000,000 = 720,000\)
MA sector: 21% = \(0.21 \times 6,000,000 = 1,260,000\)
PT sector: 19% = \(0.19 \times 6,000,000 = 1,140,000\)

Step 2: Male Workforce in SA and MA:
SA: M:F = 5:03, so male = \(\frac{5}{8} \times 720,000 = 450,000\)
MA: M:F = 3:04, so male = \(\frac{3}{7} \times 1,260,000 = 540,000\)
Total male in SA + MA = \(450,000 + 540,000 = 990,000\)

Step 3: Percentage of PT Workforce:
\[ \frac{990,000}{1,140,000} \times 100 \approx 86.84\% \approx 87\% \]