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
Minakshi Sharma (student) (79 Points)
25 May 2010the 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
Rajesh Jogani
(CA)
(60 Points)
Replied 27 May 2010
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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