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, and 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 answer:

p3 =  26 %

Step-by-step explanation:

p1=12 % p2 = 100  p1p3  40000   p1 100n + 35000   p2 100n + 25000   p3 100n = 33000 (p1+p2+p3) 100n 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=10000260000=26=26%  p3=26   Verifying Solution:  p2=100p1p3=1001226=62 %

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