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

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

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New post 08 Aug 2019, 01:43
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

82% (01:08) correct 18% (01:31) wrong based on 28 sessions

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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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New post 08 Aug 2019, 05:12
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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New post 08 Aug 2019, 16:20
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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New post 09 Aug 2019, 10:45
39000*(4/5)
31200
Answer is B

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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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New post 09 Aug 2019, 11:26
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.

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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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New post 11 Aug 2019, 19:48
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

Answer: B
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Re: A car dealer sells a SUV for $39,000, which represents a 25% profit ov   [#permalink] 11 Aug 2019, 19:48
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