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# A car dealer sells a SUV for \$39,000, which represents a 25% markup ov

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Math Expert
Joined: 02 Sep 2009
Posts: 64163
A car dealer sells a SUV for \$39,000, which represents a 25% profit ov  [#permalink]

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08 Aug 2019, 00:43
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Difficulty:

15% (low)

Question Stats:

80% (01:19) correct 20% (01:29) wrong based on 70 sessions

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A car dealer sells a SUV for \$39,000, which represents a 25% profit over the cost. What was the cost of the SUV to the dealer?

A. \$29,250
B. \$31,200
C. \$32,500
D. \$33,800
E. \$33,999

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Re: A car dealer sells a SUV for \$39,000, which represents a 25% profit ov  [#permalink]

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08 Aug 2019, 04:12
Bunuel wrote:
A car dealer sells a SUV for \$39,000, which represents a 25% profit over the cost. What was the cost of the SUV to the dealer?

A. \$29,250
B. \$31,200
C. \$32,500
D. \$33,800
E. \$33,999

Given: A car dealer sells a SUV for \$39,000, which represents a 25% profit over the cost.

Asked: What was the cost of the SUV to the dealer?

Let the cost of SUV to the dealer be \$x

(100%+25%)x=\$39000
x = \$39000/125% = \$31200

IMO B
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Re: A car dealer sells a SUV for \$39,000, which represents a 25% profit ov  [#permalink]

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08 Aug 2019, 15:20
Bunuel wrote:
A car dealer sells a SUV for \$39,000, which represents a 25% profit over the cost. What was the cost of the SUV to the dealer?

A. \$29,250
B. \$31,200
C. \$32,500
D. \$33,800
E. \$33,999

If it was 32000 then the 25% profit will lead to 40,000 as selling price that is not the case means it is not a "good" number.
Closest is 31,200. Hence B.

P.S: You can calculate 39000/1.25 and get the answer.
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Re: A car dealer sells a SUV for \$39,000, which represents a 25% markup ov  [#permalink]

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09 Aug 2019, 09:45
39000*(4/5)
31200

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Re: A car dealer sells a SUV for \$39,000, which represents a 25% markup ov  [#permalink]

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09 Aug 2019, 10:26
1
Let the cost price be x.
so the equation will be x + 0.25x = 39000 i. e. 1.25x = 39000

x is 31200.
I marked B.

Posted from my mobile device
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Re: A car dealer sells a SUV for \$39,000, which represents a 25% profit ov  [#permalink]

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11 Aug 2019, 18:48
Bunuel wrote:
A car dealer sells a SUV for \$39,000, which represents a 25% profit over the cost. What was the cost of the SUV to the dealer?

A. \$29,250
B. \$31,200
C. \$32,500
D. \$33,800
E. \$33,999

Letting P = profit, R = total selling price (revenue), and C = the dealer’s cost of the vehicle, we can create the equation:

P = 0.25C

R - C = 0.25C

39,000 - C = 0.25C

39,000 = 1.25C

31,200 = C

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Re: A car dealer sells a SUV for \$39,000, which represents a 25% profit ov   [#permalink] 11 Aug 2019, 18:48