Question

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.

Answer 1

Find the average daily wages of all workers of both the factories.

Given:

$n_1=10,\overline{x_1}=30,n_2=20,\overline{x_2}=15,$

Apply: $\overline{x_{12}}=\frac{n_1\overline{x_1}+n_2\overline{x_2}}{n_1+n_2}$

Therefore the average daily wages of all workers:

$\begin{array}{l}\frac{10\times 30+20\times 15}{10+20}\\ =\frac{300+300}{30}\\ =\frac{600}{30}\\ =20\end{array}$

Hence the average daily wages of all workers is $20$.