Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem K. 423. (September 2014)

K. 423. Alex has dinner in the same restaurant every evening. He has Wiener snitzel with fried potatoes and salad. In addition to the total on the bill, he tips the waiter every day. The tip is always equal to the amount that the total of the bill is in excess of 1000 forints (HUF, Hungarian currency). One day, the total on the bill is smaller, since the snitzel is sold at a sales price that is half the normal price (potato and salad prices are not reduced). Examining the bill, Alex observed that the amount of tax to be paid was 135 forints, but he still gave the usual tip of 180 forints to the waiter. What is the full price (including tax) of the snitzel, given that the tax on food is 18% of the net price?

(6 pont)

Deadline expired on October 10, 2014.


Statistics:

142 students sent a solution.
6 points:82 students.
5 points:41 students.
4 points:4 students.
3 points:2 students.
0 point:3 students.
Unfair, not evaluated:10 solutions.

Problems in Mathematics of KöMaL, September 2014