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A used car dealer sold one car at a profit of 25 percent of
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23 Jul 2008, 22:15
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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
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A used car dealer sold one car at a profit of 25 percent of
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05 Jan 2011, 07:53
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 viceversa.
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 > \(p_1*1.25=20,000\) > \(p_1=16,000\) > \(profit=selling \ pricepurchase \ price=20,00016,000=4,000\); 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 > \(p_2*0.8=20,000\) > \(p_2=25,000\) > \(loss=purchase \ priceselling \ price=25,00020,000=5,000\); Overall loss 5,0004,000=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 \(41,00040,000=1,000\). Answer: C. Hope it's clear.
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Re: Easy percentage problem...but whats the easiest way to solve
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23 Jul 2008, 23:23
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 car 1 : P1*1.25 = 20000 P1 = 16000 car2 P2*0.8 = 20000 P2 = 25000 P1+P2 = 41000 Final sale = 40000 1000 loss .. option C




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I am angry at this question
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04 Jan 2011, 18:37
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 viceversa.
My question is what determines which one is the reference point???
Thanks guys.



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Re: Easy percentage problem...but whats the easiest way to solve
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05 Jan 2011, 08:13
oh yeah, it helps. Well done. Thanks +1



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Re: Easy percentage problem...but whats the easiest way to solve
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05 Jan 2011, 12:00
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
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Re: A used car dealer sold one car at a profit of 25 percent of
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18 Apr 2012, 19:59
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.
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Re: A used car dealer sold one car at a profit of 25 percent of
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24 Jan 2015, 06:50
Would it be possible to use the answer choices in this question? It seems that backsolving would be cumbersome but it is possible? Thanks.
Incidentally, you can save a small amount of calculation time by solving directly for the profit / loss (see below).
20,000 = 1.25x So 0.25x = the profit for this car 0.25 = 1.25/5 20,000/5 = 4,000 profit
20,000 = 0.8y So 0.2y = the loss for this car 0.2y = 0.8y/4 20,000/4 = 5,000 loss
Overall profit / loss = 4,000  5,000 = 1,000



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Re: A used car dealer sold one car at a profit of 25 percent of
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26 Jan 2015, 04:12
ElCorazon wrote: Would it be possible to use the answer choices in this question? It seems that backsolving would be cumbersome but it is possible? Thanks.
Incidentally, you can save a small amount of calculation time by solving directly for the profit / loss (see below).
20,000 = 1.25x So 0.25x = the profit for this car 0.25 = 1.25/5 20,000/5 = 4,000 profit
20,000 = 0.8y So 0.2y = the loss for this car 0.2y = 0.8y/4 20,000/4 = 5,000 loss
Overall profit / loss = 4,000  5,000 = 1,000 There is no reason why you should use the options in this question since it is easy to see how to proceed from the given data in the question whereas it is very difficult to decide how to proceed from the options.
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Re: A used car dealer sold one car at a profit of 25 percent of
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16 Mar 2015, 14:10
Let P = Purchase Price
Car 1 Profit: $20,000= (25/100) P + P => $20,000 = (1/4)P+P => $20,000 = 5/4P P= $16,000 $20,000$16,000= $4,000 profit
Car 2 Profit: $20,000 = P  (20/100)P => $20,000= P  (1/5)P => $20,000 = 4/5P P= $25,000
$20,000  $25,000 = $5,000 loss
$4,000  $5,000 = $1,000 loss
Answer is C



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Re: A used car dealer sold one car at a profit of 25 percent of
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25 Jun 2017, 18:09
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 Car 1: 20000 = 1.25P P = 16000 profit = 20000  16000 = 4000 Car 2: 20000 = 0.8P 200000 = 8P 100000 = 4P 25000 = P profit = 5000 Combined 1+2: 4000  5000 = 1000



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Re: A used car dealer sold one car at a profit of 25 percent of
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27 Jul 2018, 18:44
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