Problem K. 865. (September 2025)

K. 865. A merchant bought a product from the wholesaler for HUF 3000. He wants to set the price of the product such that even after a 10% discount he earns an extra 20% of the original price. Find the new price of the product.

(5 pont)

Deadline expired on October 10, 2025.

Sorry, the solution is available only in Hungarian. Google translation

Megoldás. Legyen a termék ára \(\displaystyle x\), ekkor 10% kedvezmény után a 90%-os ár a nagykereskedelmi ár 120%-a kell legyen, azaz \(\displaystyle 90/100 \cdot x = 3000 \cdot 120/100\), ahonnan \(\displaystyle x = 4000\) Ft.

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4 points:	13 students.
3 points:	8 students.
2 points:	1 student.
0 point:	5 students.
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Problems in Mathematics of KöMaL, September 2025