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A car importer increases the price by 1000$ . At the new

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A car importer increases the price by 1000$ . At the new [#permalink] New post 18 Aug 2006, 03:07
A car importer increases the price by 1000$ . At the new price 5 fewer cars will be sold but total revenues goes up by 26000$ to 594000$.

what is the number of cars sold at new price
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 [#permalink] New post 18 Aug 2006, 10:25
Answer 66

Let n = number of cars, p = price per car

hence n*p = 568,000
and (n-5)*(p+1000) = 594,000

568 * 10^3 = 2^3 * 71 * 10^3 = 71 * (2*10)^3

Since n = 71 is prime it has to be one of the 2 i.e. either the price or the number...

Hence n = 71 and p = 8000

try

n = 66 and p = 9000 and you get 594,000

Took me over 3.5 mins... to get this solution..
  [#permalink] 18 Aug 2006, 10:25
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A car importer increases the price by 1000$ . At the new

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