Question

The mean of 150 laborers working in a factory running three shifts with 60, 40 and 50 laborers is Rs. 114.00. The mean wage of 60 laborers working in the first shift is Rs. 121.50 and that of 40 laborers working in the second shift is Rs 107.75, then the mean wage of those working in the third shift is

• A. Rs 110
• B. Rs 100
• C. Rs 120
• D. Rs 115.75

Answer 1

The correct option is A Rs 110

Mean wage of 150 workers=Rs.114.00

$\therefore$Total wage of 150 workers$=150\times 114.00=Rs.17100$

No of person work in first shift=60

Mean wages of 60 workers=Rs.121.50

$\therefore$ Total wage of 60 workers$=60\times 121.50=Rs.7290$

No of person work in first shift=40

Mean wages of 60 workers=Rs.107.75

$\therefore$ Total wage of 60 workers$=40\times 107.75=Rs.4310$

Total wages of the person who work in first and second shift$=7290+4310=Rs.11600$

$\therefore$Total wages of the person who work in third shift$=17100-11600=Rs.5500$

Mean wages of those who work in third shift$=\frac{5500}{50}=Rs.110$