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2007 Cyprus MO/Lyceum/Problem 24

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Problem

Costas sold two televisions for €198 each. From the sale of the first one he made a profit of 10% on its value and from the sale of the second one, he had a loss of 10% on its value. After the sale of the two televisions Costas had in total

\mathrm{(A) \ } \mathrm{profit\ }4\qquad \mathrm{(B) \ } \mathrm{neither\ profit\ nor\ loss}\qquad \mathrm{(C) \ } \mathrm{lo...

Solution

If the TV original prices are x,\ y, then \frac{11}{10}x = 198 and \frac 9{10}y = 198; x = 180 and y = 220 totaling 400; he loses 2(198) - 400 = -4 \Longrightarrow \mathrm{E}.

See also

2007 Cyprus MO, Lyceum (Problems)
Preceded by
Problem 3
Followed by
Problem 5
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