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 was an increase in the wages in this group by 2%. How much % increased the average wage across the company?

Correct answer:

p =  0.4222 %

Step-by-step explanation:


a=19000
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

Row 2 - 0.29999999999927 · Row 1 → Row 2
a = 19000
0.7b = 21300
0.306a+0.7b-c = 0
100c-27000p = 2700000

Row 3 - 0.306 · Row 1 → Row 3
a = 19000
0.7b = 21300
0.7b-c = -5814
100c-27000p = 2700000

Row 3 - 0.7/0.7 · Row 2 → Row 3
a = 19000
0.7b = 21300
-c = -27114
100c-27000p = 2700000

Pivot: Row 3 ↔ Row 4
a = 19000
0.7b = 21300
100c-27000p = 2700000
-c = -27114

Row 4 - -1/100 · Row 3 → Row 4
a = 19000
0.7b = 21300
100c-27000p = 2700000
-270p = -114


p = -113.99999999/-270 = 0.42222222
c = 2700000+27000p/100 = 2700000+27000 · 0.42222222/100 = 27113.99999999
b = 21300.00000001/0.7 = 30428.57142856
a = 19000/1 = 19000

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

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Looking for help with calculating arithmetic mean?
Looking for a statistical calculator?
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: