If we increase the translator’s salary by 10% and the editor’s salary by 20%, then their salaries will amount

If we increase the translator’s salary by 10% and the editor’s salary by 20%, then their salaries will amount to 1,600 euros. If we increase the translator’s salary by 20% and the editor’s salary by 10%, then their salaries will amount to 1,620 euros. Calculate the translator’s salary and the editor’s salary. The salaries of all employees are 4,000 euros. What is the percentage of the salary of the head of the salary of the translator?

Let the translator’s salary be P, and the editor’s salary P. Then, based on the condition of the problem, the following equalities will be true:

1.1P + 1.2P = 1600;

1.2P + 1.1P = 1620.

Find the editor’s salary from the first expression and substitute it into the second expression:

P = (1600 – 1.1P): 1.2 = 1333.33 – 0.92P;

1.2P + 1.1 (1333.33 – 0.92P) = 1620.

Let’s simplify and solve this equation:

1.2P + 1466.66 – 1.012P = 1620

0.188P = 153.34

P = 815.64 euros.

Then the editor’s salary will be:

P = 1920 – 1.32 P = 1920 – 1076.64 = 843.36 euros.

Now let’s find the manager’s salary: subtract the editor’s and translator’s salaries from the employees’ salaries:

4000 – (815.64 + 843.36) = 4000 – 815.64 – 843.36 = 2341 euros.

Answer: the salary of the translator is 815.64 euros, the salary of the editor is 843.36 euros, the salary of the manager is 2341 euros.