Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem K. 381. (September 2013)

K. 381. A merchant is selling a certain product for a price reduced by 20%, but he is still making a 20% profit relative to the purchase price. What percentage of the purchase price was his profit before the reduction?

(6 pont)

Deadline expired on October 10, 2013.

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

Megoldás. Legyen a beszerzési ár $\displaystyle x$, ekkor az árengedmény utáni eladási ár $\displaystyle 1,2x$. Tehát a 20% árengedmény előtti ár $\displaystyle 1,2x:0,8=1,5x$. Vagyis 50 százalékos volt a haszna az árleszállítás előtt.

### Statistics:

 279 students sent a solution. 6 points: 188 students. 5 points: 32 students. 4 points: 2 students. 3 points: 2 students. 2 points: 24 students. 1 point: 2 students. 0 point: 27 students. Unfair, not evaluated: 2 solutionss.

Problems in Mathematics of KöMaL, September 2013