Question

In a factory, workers work in three shifts, say shift $1,$ shit $2$ and shift $3$ and they get wages in the ratio $3:4:8$ depending on the shift $1, \, 2$ and $3$ respectively. Number of workers in the shifts are in the ratio $3:2:5.$ If the total number of workers working is $1500$ and wages per worker in shift $1$ is $Rs. \, 300,$ then the mean wage of a worker is

• A. $Rs. \, 460$
• B. $Rs. \, 520$
• C. $Rs. \, 570$
• D. $Rs. \, 420$

Answer 1

Answer: (C)

Workers in $1^{s t}$ shift $=450$
Wages in $1^{s t}$ shift $=Rs.300$
Workers in $2^{n d}$ shift $=300$
Wages in $2^{n d}$ shift $=Rs. \, 400$
Workers in $3^{r d}$ shift $=800$
$Mean=\frac{450 \times 300 + 300 \times 400 + 750 \times 800}{1500}$
$=90+80+400$
$=570$
Mean wage $=Rs.570$