Friday, February 17, 2006

PS (problem solving) copper price

The price of copper rose by 25 percent and then fell by 20 percent. The price after these changes was:

A - 20 percent greater than the original price
B - 5 percent greater than the original price
C - the same as the original price
D - 5 percent less than the original price
E - 15 percent less than the original price

2 comments:

Luís Botelho Ribeiro said...

Considerando P o preço original do cobre, para obter o preço depois do aumento multiplicamos por 1,25 (+25%). O resultado é então multiplicado por 0,8 (-20%) para sabermos o preço final. Então o preço final será Px1,25x0,8, o que resulta igual a P, posto que 1,25x0,8 é igual a 1. Simples. A resposta correcta é então a C.

Luís Botelho Ribeiro said...

Considering P the original copper price, the increased price comes from multiplying it with 1,25 (+25%). The final result is obtained multiplying this by 0,8 (100%-20% price decrease). The final price is then Px1,25x0,8, which is equal to P (1,25x0,8=1). Very simple. Now the correct answer will be option C.