Three groups

In the company, employees are divided into three groups. In the first group, which includes 12% of the company's total number of employees, the average salary is CZK 40,000, in the second group CZK 35,000, in the third group CZK 25,000. The average salary of all company employees is CZK 33,000.
How many percent of employees are in the third group?

Correct result:

p3 =  26 %

Solution:

p1=12 % p2=100p1p3  40000 p1 n100+35000 p2 n100+25000 p3 n100=33000 (p1+p2+p3) n100 40000 p1+35000 p2+25000 p3=33000 (p1+p2+p3)   40000 p1+35000 (100p1p3)+25000 p3=33000 (p1+(100p1p3)+p3) 40000 12+35000 (10012p3)+25000 p3=33000 (12+(10012p3)+p3)  10000p3=260000  p3=26=26%   Verifying Solution:  p2=100p1p3=1001226=62 %



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