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

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Director
Joined: 07 Jun 2004
Posts: 611

Kudos [?]: 886 [0], given: 22

Location: PA
A car importer increases the price by 1000\$ . At the new [#permalink]

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18 Aug 2006, 04:07
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

Kudos [?]: 886 [0], given: 22

Senior Manager
Joined: 14 Jul 2005
Posts: 402

Kudos [?]: 31 [0], given: 0

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18 Aug 2006, 11:25

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..

Kudos [?]: 31 [0], given: 0

18 Aug 2006, 11:25
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