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A used car dealer sold one car at a profit of 25 percent of [#permalink]
23 Jul 2008, 21:15

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35% (medium)

Question Stats:

69% (02:13) correct
31% (00:58) wrong based on 278 sessions

A used car dealer sold one car at a profit of 25 percent of the dealers purchase price for that car and sold another car at a loss of 20 percent of the dealers purchase price for that car. If the dealer sold each car for $20,000 , what was the dealers total profit or loss, in dollars, for the two transactions combined?

A. 1000 profit B. 2000 profit C. 1000 loss D. 2000 loss E. 3334 loss

Re: Easy percentage problem...but whats the easiest way to solve [#permalink]
23 Jul 2008, 22:23

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djdela wrote:

A used car dealer sold one car at a profit of 25 percent of the dealers purchase price for that car and sold another car at a loss of 20 percent of the dealers purchase price for that car. If the dealer sold each car for $20,000 , what was the dealers total profit or loss, in dollars, for the two transactions combined?

a) 1000 profit b) 2000 profit c) 1000 loss d) 2000 loss e) 3334 loss

I am angry at this question [#permalink]
04 Jan 2011, 17:37

For me, the key to solve this problem is to know which amount to subtract from. Its easy to calculate the two amount of 41000 and 40000 but if you subtract 40000 from 41000 then you will have a profit of 1000 and vice-versa.

My question is what determines which one is the reference point???

Re: I am angry at this question [#permalink]
05 Jan 2011, 06:53

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ezinis wrote:

For me, the key to solve this problem is to know which amount to subtract from. Its easy to calculate the two amount of 41000 and 40000 but if you subtract 40000 from 41000 then you will have a profit of 1000 and vice-versa.

My question is what determines which one is the reference point???

Thanks guys.

A used car dealer sold one car at a profit of 25 percent of the dealers purchase price for that car and sold another car at a loss of 20 percent of the dealers purchase price for that car. If the dealer sold each car for $20,000 , what was the dealers total profit or loss, in dollars, for the two transactions combined? a) 1000 profit b) 2000 profit c) 1000 loss d) 2000 loss e) 3334 loss

A dealer sold one car at a profit of 25% of the dealers purchase price for that car, let's say p_1, for $20,000 --> p_1*1.25=20,000 --> p_1=16,000 --> profit=selling \ price-purchase \ price=20,000-16,000=4,000;

A dealer sold another car at a loss of 20% of the dealers purchase price for that car, let's say p_2, again for $20,000 --> p_2*0.8=20,000 --> p_2=25,000 --> loss=purchase \ price-selling \ price=25,000-20,000=5,000;

Overall loss 5,000-4,000=1,000.

Or the way you are doing: the cars were purchased for p_1+p_2=16,000+25,000=41,000, and sold for 20,000+20,000=40,000 so the overall loss is 41,000-40,000=1,000.

Re: Easy percentage problem...but whats the easiest way to solve [#permalink]
05 Jan 2011, 11:00

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djdela wrote:

A used car dealer sold one car at a profit of 25 percent of the dealers purchase price for that car and sold another car at a loss of 20 percent of the dealers purchase price for that car. If the dealer sold each car for $20,000 , what was the dealers total profit or loss, in dollars, for the two transactions combined?

a) 1000 profit b) 2000 profit c) 1000 loss d) 2000 loss e) 3334 loss

Logical approach:

Car 1 - profit of 25% i.e. 1/4 i.e. 1 part profit for 4 parts of cost price. So selling price ($20,000) has total 5 parts (each being $4000) out of which 1 part is profit i.e. $4000. Car 2 - loss of 20% i.e. 1/5 i.e. 1 part of loss out of 5 parts of cost price was removed to get selling price ($20,000) which has 4 parts now. So each part is $5000 and the loss is 1 part i.e. $5000.

Overall, loss of $5000 - $4000 = $1000 _________________

Re: A used car dealer sold one car at a profit of 25 percent of [#permalink]
18 Apr 2012, 18:59

Great answer guys, you have to be sure you set your equations right. I mistakenly did 20,000 - P2 = .2P2 which is wrong cause it should be -.2P2. _________________