Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem C. 816. (September 2005)

C. 816. The price of Aunt Margaret's favourite chocolate has gone up by 30%, while her pension is only raised by 15%. By what percentage will Aunt Margaret's chocolate consumption decrease, if she can only spend 15% more on chocolate.

(5 pont)

Deadline expired on October 17, 2005.

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

Megoldás. Legyen az egységár: a, a vásárolt mennyiség: x, vagyis ax Ft-ot költ csokoládéra Margit néni. Az új egységár: 1,3a, és 1,15ax Ft-ot fog költeni csokoládéra az áremelkedés után. Azaz áremelkedés után a vásárolt mennyiség: .

Vagyis 11,54%-kal csökken a csokoládéfogyasztása.

### Statistics:

 619 students sent a solution. 5 points: 450 students. 4 points: 90 students. 3 points: 7 students. 2 points: 5 students. 1 point: 3 students. 0 point: 48 students. Unfair, not evaluated: 16 solutions.

Problems in Mathematics of KöMaL, September 2005