Question

The monthly average salary paid to all the employees of a company was rs. 5000. The monthly average salary pad to male and female employees was rs. 5200 and rs. 4200 respectively. Then the percentage of males employed in the company is:

Answer 1

Step-by-step explanation:

Monthly average salary = ₹5000

let m & n be number of male and female members, respectively.

average salary of male members = ₹5200

therefore ,

sum of salary's of all male member =₹5200m ,as

$average = \frac{sum \: of \: terms}{number \: ofterms}$

average salary of female members = ₹4200

therefore ,

sum of salary's of all female member =₹4200n

$\frac{4200n + 5200m}{m + n} = 5000 \\ \\ 4200n + 52000m = 5000m + 5000n \\ 200m = 800n \\ 2m = 8n \\ m = 4n \: ......(1) \\ \\ now \: percentage \: of \: male \: members \: \\ = \frac{m}{m + n} \times 100 = \frac{m}{m + \frac{m}{4} } \times 100 \\= \frac{4m}{5m} \times 100 = 80\%$