Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem K. 147. (December 2007)

K. 147. In a sale, a -forint (HUF, Hungarian currency) car was sold for forints. In the same sale (that is, with a price reduced by the same percentage), another car was sold for forints less than 3/5 of its original price. What was the original price?

(6 pont)

Deadline expired on January 10, 2008.

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

Megoldás. A 2 310 000 Ft a 4 200 000 Ft-nak 55%-a, tehát a második autó árának 55%-a 146 000 Ft-tal kevesebb, mint a 60%-a. Ez azt jelenti, hogy az autó eredeti árának 5%-a 146 000 Ft, a teljes ár ennek 20-szorosa, azaz 2 920 000 Ft.

### Statistics:

 207 students sent a solution. 6 points: 173 students. 5 points: 9 students. 4 points: 1 student. 3 points: 3 students. 2 points: 2 students. 1 point: 9 students. 0 point: 1 student. Unfair, not evaluated: 9 solutions.

Problems in Mathematics of KöMaL, December 2007