An analysis of monthly wages paid to the workers of two jute mills $A$ and $B$ gives the following data:…

An analysis of monthly wages paid to the workers of two jute mills $A$ and $B$ gives the following data: \begin{array}{lll} No. of workers & Mill-A & Mill-B \\ Average daily wage (in rupees) & 500 & 600 \\ Variance of distribution of wages & 186 & 175 \\ 81 & 100 \end{array} Then
  1. wage bill of mill $\mathrm{A}$ is twice that of mill $\mathrm{B}$
  2. mills $\mathrm{A}$ and $\mathrm{B}$ both have same wage bills.
  3. wage bill of mill $\mathrm{A}$ is greater than that of mill $\mathrm{B}$
  4. wage bill of mill B is greater than that of mill A

Solution

Average wage bill of mill A $\begin{aligned} & =\text { No. of workers } \times \text { Average daily wage }=500 \times 186 \\ & =92500\end{aligned}$ Average wage bill of mill B $\begin{aligned} & =\text { No. of workers } \times \text { Average daily wage }=600 \times 175 \\ & =105000 \\ & \therefore \text { Wage bill of mill } B \text { is greater than that of mill } A .\end{aligned}$

Asked in: AP EAMCET 2023 (17 May Shift 2)

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