the average salary of a group of unskilled workers is rs. 10000 and that of a group of skilled workers is rs. 15000. if the combined salary is rs. 12000, then what is the percentage of skilled workers?
i) 55
ii) 56
iii) 54
iv) 52
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Replies (1)
Let the number of unskilled workers be N1 & their average salary be X1
Let the number of skilled workers be N2 & their average salary be X2
As per formula for combines arithmetic mean X12 = (N1X1 + N2X2) / N1 + N2
12000 = (10000 N1 + 15000 N2) / (N1 + N2)
12000 N1 + 12000 N2 = 10000 N1 + 15000 N2
2000 N1 = 3000 N2
N1/ N2 = 3 / 2 So N1 : N2 = 3 : 2
So percentage of skilled workers is 2 / 5 x 100 = 40%.
Either the question is incorrect or the options mentioned.
As per a book available with me the correct options are 40%, 50%, 60% & None.
The options mentioned as per you are stated in the preceding MCQ.
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