Profits

Two members will make a profit of 52 000 EUR. The first earned 8% more and the second 10% more and thus earned together 56 700 EUR. How many will each initially earn?

Correct answer:

a =  25000 eur
b =  27000 eur

Step-by-step explanation:


a+b=52000
a·1.08+b·1.10 = 56700

a+b = 52000
1.08a+1.1b = 56700

Pivot: Row 1 ↔ Row 2
1.08a+1.1b = 56700
a+b = 52000

Row 2 - 1/1.08 · Row 1 → Row 2
1.08a+1.1b = 56700
-0.02b = -500


b = -499.99999992/-0.01851852 = 26999.99999978
a = 56700-1.0999999999985b/1.08 = 56700-1.1 · 26999.99999978/1.08 = 25000.00000022

a = 25000
b = 27000

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
Our percentage calculator will help you quickly calculate various typical tasks with percentages.

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

Units of physical quantities:

Themes, topics:

Grade of the word problem:

Related math problems and questions: