Question

The number of female workforce in SE and PR sectors put together is what percent of the number of male workforce in CMsector?

• A. 330%
• B. 318%
• C. 320%
• D. 80%
• A. 82%
• B. 87%
• C. 89%
• D. 85%
• A. 5.1 lakhs
• B. 7.5 lakhs
• C. 5.6 lakhs
• D. 13.2 lakhs

Answer 1

The Correct Option is A

To solve this problem, we need to calculate the number of female workforce in the "Service" (SE) and "Professional" (PR) sectors and then find what percentage this is of the number of male workforce in the "Construction and Maintenance" (CM) sector.

1. Calculate the total number of workforce in SE sector:
   • Total workforce in SE = 15% of 60 lakhs = \(0.15 \times 6000000 = 900000\).
2. Determine the number of females in SE sector:
   • Ratio of Male to Female in SE = 3:2
   • Total parts of ratio = 3 + 2 = 5
   • Number of females = \(\frac{2}{5} \times 900000 = 360000\). 
3. Calculate the total number of workforce in PR sector:
   • Total workforce in PR = 18% of 60 lakhs = \(0.18 \times 6000000 = 1080000\).
4. Determine the number of females in PR sector:
   • Ratio of Male to Female in PR = 5:7
   • Total parts of ratio = 5 + 7 = 12
   • Number of females = \(\frac{7}{12} \times 1080000 = 630000\).
5. Total number of female workforce in SE and PR sectors:
   • Total females = 360000 + 630000 = 990000
6. Calculate the total number of workforce in CM sector:
   • Total workforce in CM = 9% of 60 lakhs = \(0.09 \times 6000000 = 540000\).
7. Determine the number of males in CM sector:
   • Ratio of Male to Female in CM = 5:4
   • Total parts of ratio = 5 + 4 = 9
   • Number of males = \(\frac{5}{9} \times 540000 = 300000\).
8. Calculate the percentage of the female workforce from SE and PR in relation to the male workforce in CM:
   • Percentage = \(\frac{990000}{300000} \times 100\% = 330\%\).
9. Therefore, the number of female workforce in the SE and PR sectors put together is 330% of the number of male workforce in the CM sector.

Answer 2

To solve this question, we need to calculate the combined percentage of the male workforce in the Sales (SA) and Management (MA) sectors relative to the total workforce in the Production and Transport (PT) sector. Let's break this down step-by-step.

1. Determine the total workforce in each sector:
   • Total workforce = 60 lakhs
   • Workforce in SA sector = 12% of 60 lakhs = 0.12 × 60 = 7.2 lakhs
   • Workforce in MA sector = 21% of 60 lakhs = 0.21 × 60 = 12.6 lakhs
   • Workforce in PT sector = 19% of 60 lakhs = 0.19 × 60 = 11.4 lakhs
2. Find the number of males in the SA and MA sectors:
   • In the SA sector, the male-to-female ratio is 5:3. Therefore, the fraction of males is \(\frac{5}{5+3} = \frac{5}{8}\).
   • Number of males in SA sector = \(\frac{5}{8}\) × 7.2 = 4.5 lakhs
   • In the MA sector, the male-to-female ratio is 3:4. Therefore, the fraction of males is \(\frac{3}{3+4} = \frac{3}{7}\).
   • Number of males in MA sector = \(\frac{3}{7}\) × 12.6 = 5.4 lakhs
3. Calculate the total number of males in SA and MA sectors combined:
   • Total male workforce in SA and MA = 4.5 + 5.4 = 9.9 lakhs
4. Calculate the percentage of the male workforce in SA and MA relative to the total PT workforce:
   • Percentage = \(\left(\frac{9.9}{11.4}\right) \times 100\)%
   • Percentage ≈ 86.84% (approximately 87%) 

Therefore, the number of male workforce in SA and MA sectors put together is approximately 87% of the total number of workforce in the PT sector. The correct answer is 87%.

Answer 3

To solve the problem of finding the difference in the number of female workforce in the Sales (SA) and Management (MA) sectors combined compared to the Production and Transport (PT) sector, we will do the following: 

1. Find the number of females in the SA sector:
   1. Total workforce in SA: 12% of 60 lakhs = \(0.12 \times 60 = 7.2 \text{ lakhs}\)
   2. Male to Female ratio in SA: 5:3. Thus, Female workforce = \(\frac{3}{5+3} \times 7.2 = \frac{3}{8} \times 7.2 = 2.7 \text{ lakhs}\)
2. Find the number of females in the MA sector:
   1. Total workforce in MA: 21% of 60 lakhs = \(0.21 \times 60 = 12.6 \text{ lakhs}\)
   2. Male to Female ratio in MA: 3:4. Thus, Female workforce = \(\frac{4}{3+4} \times 12.6 = \frac{4}{7} \times 12.6 = 7.2 \text{ lakhs}\)
3. Combine the female workforce of SA and MA sectors: \(2.7 \text{ lakhs} + 7.2 \text{ lakhs} = 9.9 \text{ lakhs}\)
4. Find the number of females in the PT sector:
   1. Total workforce in PT: 19% of 60 lakhs = \(0.19 \times 60 = 11.4 \text{ lakhs}\)
   2. Male to Female ratio in PT: 5:3. Thus, Female workforce = \(\frac{3}{5+3} \times 11.4 = \frac{3}{8} \times 11.4 = 4.275 \text{ lakhs}\)
5. Find the difference in female workforce: \(9.9 \text{ lakhs} - 4.275 \text{ lakhs} = 5.625 \text{ lakhs (approx. 5.6 lakhs)}\)

Therefore, the difference in the number of female workforce in SA and MA sectors put together and the number of female workforce in PT sector is 5.6 lakhs.