## Task 1 - 200821

Mr. Schäfer had bought two dogs. However, he had to sell them soon. For each dog, he received 180 Marks.

As Mr. Schäfer found out, with one of the dogs, he had made a profit of $20 \%$ of its original purchase price, while he sold the other dog at a loss of $20 \%$ of its original purchase price.

Determine whether, after selling both dogs, Mr. Schäfer overall made a profit or a loss compared to the total original purchase price! If this is the case, determine how much the profit or loss amounts to!
If the original purchase price of the first dog was $x$ Marks, then Mr. Schäfer received $\frac{120}{100} x$ Marks $=\frac{6}{5} x$ Marks upon selling this dog. Therefore,

$$
\frac{6}{5} x=180 \quad \text { so } \quad x=150
$$

If the original purchase price of the second dog was $y$ Marks, then Mr. Schäfer received $\frac{80}{100} y$ Marks $=\frac{4}{5} y$ Marks upon selling this dog. Therefore, $y=225$.

Thus, the original purchase price was $150 \mathrm{M}+225 \mathrm{M}=375 \mathrm{M}$. Since Mr. Schäfer sold the dogs for a total of 360 Marks, he incurred an overall loss of 15 Marks.