Salary in enterprise

The average salary in the company is 27 000 CZK, 30% of workers have the lowest average income of 19 thousand CZK. There were an increase in the salary in this group by 2%. How much % increased the average salary across the company?

Correct answer:

p =  0.4222 %

Step-by-step explanation:

0.3•a + 0.7•b = 27000
c = 0.3•a•1.02 + 0.7•b
p = 100•(c/27000-1)

a = 19000
0.3a+0.7b = 27000
0.306a+0.7b-c = 0
100c-27000p = 2700000

a = 19000
b = 213000/7 ≈ 30428.571429
c = 27114
p = 19/45 ≈ 0.422222

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