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 4\;200\;000-forint (HUF, Hungarian currency) car was sold for 2\;310\;000 forints. In the same sale (that is, with a price reduced by the same percentage), another car was sold for 146\;000 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 solutionss.

Problems in Mathematics of KöMaL, December 2007