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K. 511. A merchant regularly buys apricot jam from a canning factory. One day, he bought a certain quantity, and paid a total of $\displaystyle 180\,000$ forints (HUF, Hungarian currency) for it. In the next month, he saw that the price of apricot jam was significantly reduced: they were selling 5 jars of jam for the price of 3 jars. The merchant was so happy that he immediately bought four times the quantity he had bought in the previous month. How much did he pay altogether for the jam with reduced price?

(6 points)

This problem is for grade 9 students only.

Deadline expired on 10 November 2016.

Google Translation (Sorry, the solution is published in Hungarian only.)

Megoldás. Az engedményes árral egy üveg lekvár ára csak 3/5 része a rendes árnak. Így a kereskedő, ha ugyanannyi lekvárt vett volna, mint előző alkalommal, akkor $\displaystyle 180\,000 : 5 \cdot 3 = 108\,000$ Ft-ot fizetett volna. Mivel négyszer annyit vett, ezért $\displaystyle 4\cdot 108\,000 = 432\,000$ Ft-ot fizetett.

Statistics on problem K. 511.
 158 students sent a solution. 6 points: 124 students. 5 points: 12 students. 4 points: 8 students. 3 points: 2 students. 1 point: 1 student. Unfair, not evaluated: 11 solutions.

• Problems in Mathematics of KöMaL, October 2016

•  Támogatóink: Morgan Stanley