# An average daily wage of 10 workers in a factory 'A' is Rs. 30 and an average daily wage of 20 workers in a factory 'B' is Rs. 15. Find the average daily wages of all workers of both the factories.

From the question,

$$n_{1}=10, \bar{x}_{1}=30, n_{2}=20, \bar{x}_{2}=15 \\ \Rightarrow \bar{x}_{12}=\frac{n_{1} \bar{x}_{1}+n_{2} \bar{x}_{2}}{n_{1}+n_{2}}=\frac{10 \times 30+20 \times 15}{10+20} \\ =\frac{600}{30}\\=20$$

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