The average salary for a group of unskilled workers is Rs. 13000 and that of a group of skilled
workers is Rs. 19500. If the combined salary is Rs. 16000, then what is the percentage of skilled
workers?
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Explanation:
Let the no. of unskilled workers = x
So average salary of unskilled workers is (Total salary of all unskilled workers)/(Total unskilled workers) = 10000
=> Total salary of all unskilled workers = 10000x
Similarly Total salary of all skilled workers = 15000y
Now the final average = (Total salary of all unskilled workers + Total salary of all skilled workers)/Total workers = 12000
=> (10000x + 15000y)/(x + y) = 12000
=> 10000x + 15000y = 12000x + 12000y
=> 3000y = 2000x
=> y/x = 2/3
Now percentage of skilled employee = y/(x+y) * 100
=> 2/(2+3) * 100
= 40%
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