5. The Neko company earned $\frac{1}{7}$ more than the planned amount, and then the management decided to distribute $\frac{1}{24}$ of the earned amount to the employees. After distributing to the employees, the company had one million kuna more than the planned amount. What was the planned amount? If all employees of the company received the same amount of 12500 kuna, how many employees does the company have?

Each task is scored out of 10 points.

The use of a pocket calculator or any reference materials is not allowed.
5. Let $x$ be the planned amount of revenue.

Then the company's revenue is $x+\frac{1}{7} x$, i.e., $\frac{8}{7} x$.

1 POINT

The company distributes $\frac{1}{24}$ of the earned amount, so $\frac{23}{24}$ of the earned amount must remain.

Thus, $\frac{23}{24} \cdot \frac{8}{7} x = \frac{23}{21} x$ remains.

2 POINTS

$\frac{23}{21} x$ is one million more than the planned amount, so $\frac{23}{21} x = x + 1000000$.

It follows that:
$\frac{2}{21} x = 1000000$,

2 POINTS

$x = 1000000 \div \frac{2}{21}$,

$x = 1000000 \cdot \frac{21}{2} = 10500000 \text{ kuna}$.

The planned amount is 10500000 kuna.

2 POINTS

The amount distributed to employees is $\frac{1}{24} \cdot \frac{8}{7} \cdot 10500000 = 500000 \text{ kuna}$.

2 POINTS

The number of employees in the company is obtained by dividing the total amount distributed to all employees by 12500 kuna (the amount each employee received), i.e., $500000 \div 12500 = 40$.

The company has 40 employees.

1 POINT

TOTAL 10 POINTS