Question

please let me know the answer of this Q​

Answer 1

Given:

Average salary of all workers in a workshop = ₹10,600

Average salary of 8 skilled workers = ₹ 15,000

Average salary of all remaining unskilled workers = ₹ 9,000

Total number of skilled workers = 8

To Find:

Total number of workers in the workshop

Answer:

Let total number of workers in workshop be 'x'

So, Total number of unskilled workers = (x - 8)

$= > Average \: salary \: of \: all \: workers \: in \: workshop = \frac{Total \: salary \: of \: all \: workers \: in \: a \: workshop}{Total \: number \: of \: workers} \\ \\ = > 10,600 = \frac{Total \: salary \: of \: all \: workers \: in \: a \: workshop}{x} \\ \\ = > Total \: salary \: of \: all \: workers \: in \: a \: workshop = 10,600x$

Similar;

$= > Average \: salary \: of \: unskilled\: workers \: in \: workshop = \frac{Total \: salary \: of \: unskilled \: workers \: in \: a \: workshop}{Total \: number \: of \:unskilled \: workers} \\ \\ = > 9,000 = \frac{Total \: salary \: of \: unskilled \: workers \: in \: a \: workshop}{(x - 8)} \\ \\ = > Total \: salary \: of \: unskilled \: workers \: in \: a \: workshop = 9,000(x - 8)$

Also,

$= > Average \: salary \: of \: skilled \: workers \: in \: workshop = \frac{Total \: salary \: of \: skilled \: workers \: in \: a \: workshop}{Total \: number \: of \: skilled \: workers} \\ \\ = > 15,000 = \frac{Total \: salary \: of \: skilled \: workers \: in \: a \: workshop}{8} \\ \\ = > Total \: salary \: of \: skilled\: workers \: in \: a \: workshop = 15,000 \times 8 \\ \\ = > Total \: salary \: of \: skilled\: workers \: in \: a \: workshop = 1,20,000$

So,

$= > Total \: salary \: of \: all \: workers \: in \: a \: workshop =Total \: salary \: of \: unskilled \: workers \: in \: a \: workshop + Total \: salary \: of \: skilled \: workers \: in \: a \: workshop \\ \\ = > 10,600x = 9,000(x - 8) + 1,20,000 \\ \\ = > 10,600x = 9,000x - 9,000 \times 8 + 1,20,000 \\ \\ = > 10,600x - 9,000x = 1,20,000 - 72,000 \\ \\ = > 1,600x = 48,000 \\ \\ = > x = \frac{48,000}{1,600} \\ \\ = > x = 30$

Therefore,

$\boxed{\bold{Total \:number \:of\: workers \:in \:workshop = 30}}$