Worker salary

The worker had a salary of CZK 18,000. During the year, his salary was increased by a quarter. He earned a total of CZK 247,500 for the whole year. From which month was his salary increased?

Correct answer:

n =  6

Step-by-step explanation:

$$\begin{gathered} a=18000\text{ Kc } \\ b=a+a\mathrm{/}4=18000+18000\mathrm{/}4=22500\text{ Kc } \\ r=247500\text{ Kc } \\ a\cdot (n-1)+(12-(n-1))\cdot b=r \\ 18000\cdot (n-1)+(12-(n-1))\cdot 22500=247500 \\ 4500n=27000 \\ n=6 \\ \text{ Verifying Solution: } \\ {r}_2=a\cdot 5+b\cdot (12-5)=18000\cdot 5+22500\cdot (12-5)=247500 \end{gathered}$$

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