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13 Oct 2008, 20:02
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A furniture dealer purchased a desk for $150 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk? A.$40
B. $60 C.$80
D. $90 E.$100
[Reveal] Spoiler: OA

Last edited by Bunuel on 12 Sep 2013, 02:54, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: Simple but still having trouble :( [#permalink]

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13 Oct 2008, 20:09
I am not sure but i tried in following way:

150+ 40 =190 is divistible by 60 ..no..
150+ 60 =210 is divistible by 60 ..no..
150+ 80 =230 is divistible by 60 ..no..
150+ 90 =240 is divistible by 60 ..YES..
150+ 100 =250 is divistible by 60 ..no..

why division by 60? (10-40 =60%)

what is OA?

Thanks
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Re: Simple but still having trouble :( [#permalink]

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13 Oct 2008, 20:50
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udribat wrote:
A furniture dealer purchased a desk for $150 and then set the selling price to the purchase price plus markup that was 40 percent of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk? 1)$40
2) $60 3)$80
4) $90 5)$100

(E)

Purchase price = 150
Selling price = x

150 + 0.4*x = x
0.6*x = 150
x = 250

Profit = 250 - 150 = 100
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01 May 2011, 01:55
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A furniture dealer purchased a desk for $150 and then set [#permalink] ### Show Tags 26 Jul 2012, 10:53 1 This post received KUDOS 2 This post was BOOKMARKED A furniture dealer purchased a desk for$150 and then set the selling price equal to purchasing price plus a markup that was 40% of selling price. If the dealer sold the desk at selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?

A. $40 B.$60
C. $80 D.$90

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27 Jul 2012, 18:41
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Selling Price = S

S = 150 + .40S

S = 250

Profit = 250 - 150 = 100
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12 Sep 2013, 02:58
Expert's post
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udribat wrote:
A furniture dealer purchased a desk for $150 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk? A.$40
B. $60 C.$80
D. $90 E.$100

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19 Oct 2014, 21:39
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angelfire213 wrote:
hi all.

I love math but hate GMAT math.
Anyway, I'm getting confused with the terminology in this question. If the markup is 40% is that not the same thing as the profit? ie. isn't the markup the difference between the selling price and the cost?

I might be missing something basic here. With this thinking, I just had selling price = to 140% of cost and got the answer wrong. I've seen how people solve it but I just don't understand the business or visual part of it.... HELP!

PS - Why am I asking these types of questions 2 weeks before my exam

No, mark up is the difference between cost price and list price (or tag price or marked price). The list price may be different from selling price if the store offers a discount.

Look at it from the store's perspective. It buys a shirt at $100 and marks it up by 50% i.e. writes$150 as the list price on the shirt. The shirt doesn't sell for a month after which the store has a sale of 10% on everything. Someone buys the shirt during the sale at this 10% discount i.e. 150 - 10% of 150 = $135. So the selling price of the shirt is$135. So here, mark up was 50% but profit was 35%.

Anyway, in this question, there is no discount but the mark up is given as 40% of the selling price. So it is not 40% of $150 but instead, 40% of Selling price which is obtained by adding mark up to$150.

So if selling price is S,
150 + 40% of S = S
S = 250

Profit = 100 which is calculated on cost price in % terms. So 100/150 * 100 = 66.67% is profit.
Note that usually mark up is also calculated on cost price and hence mark up percentage would be 100/150 = 66.7% - i.e. same as profit% since there is no discount in this case. This question just gives you mark up on selling price and hence you need to do suitable modifications.
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21 Mar 2015, 18:57
VeritasPrepKarishma wrote:
angelfire213 wrote:
hi all.

I love math but hate GMAT math.
Anyway, I'm getting confused with the terminology in this question. If the markup is 40% is that not the same thing as the profit? ie. isn't the markup the difference between the selling price and the cost?

I might be missing something basic here. With this thinking, I just had selling price = to 140% of cost and got the answer wrong. I've seen how people solve it but I just don't understand the business or visual part of it.... HELP!

PS - Why am I asking these types of questions 2 weeks before my exam

No, mark up is the difference between cost price and list price (or tag price or marked price). The list price may be different from selling price if the store offers a discount.

Look at it from the store's perspective. It buys a shirt at $100 and marks it up by 50% i.e. writes$150 as the list price on the shirt. The shirt doesn't sell for a month after which the store has a sale of 10% on everything. Someone buys the shirt during the sale at this 10% discount i.e. 150 - 10% of 150 = $135. So the selling price of the shirt is$135. So here, mark up was 50% but profit was 35%.

Anyway, in this question, there is no discount but the mark up is given as 40% of the selling price. So it is not 40% of $150 but instead, 40% of Selling price which is obtained by adding mark up to$150.

So if selling price is S,
150 + 40% of S = S
S = 250

Profit = 100 which is calculated on cost price in % terms. So 100/150 * 100 = 66.67% is profit.
Note that usually mark up is also calculated on cost price and hence mark up percentage would be 100/150 = 66.7% - i.e. same as profit% since there is no discount in this case. This question just gives you mark up on selling price and hence you need to do suitable modifications.

wow, thanks for the explanation on the list price bit. i guess that was the missing link, i too was having a hard time trying to understand why there's a gap in the understanding. the list price part fill in the void nicely!
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14 Jul 2015, 18:35
CP = $150. SP =$150 + 40%(SP)

So, (0.6) (SP) = $150 SP =$150/0.6 = $250. So, GP = SP-CP =$250-$150 =$100. Ans (E).
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Re: A furniture dealer purchased a desk for $150 and then set th [#permalink] ### Show Tags 27 Nov 2015, 09:25 Purchase price =$150
Selling Price = SP

SP = 150 + 0.4SP
0.6SP = 150
SP = 250

GP = 250-150

GP = $100 Answer: E Math Forum Moderator Status: Quant & Verbal Forum Moderator Joined: 11 Jun 2011 Posts: 1653 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Followers: 59 Kudos [?]: 410 [0], given: 274 Re: A furniture dealer purchased a desk for$150 and then set th [#permalink]

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28 Nov 2015, 12:45
I am posting a different approach and find it very convenient to reach the correct answer quickly.

For such problems I take Selling Price as 100 and calculate backqards to find Profit and Cost Price
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30 Nov 2015, 10:01
Dondarrion wrote:
Abhishek009,

Can you repost the image? I am getting the red x.

Thanks!

Here you go sir -

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Re: A furniture dealer purchased a desk for $150 and then set th [#permalink] ### Show Tags 30 Nov 2015, 10:07 Abhishek009 wrote: Dondarrion wrote: Abhishek009, Can you repost the image? I am getting the red x. Thanks! Here you go sir - Images you post are not visible at all. _________________ Re: A furniture dealer purchased a desk for$150 and then set th   [#permalink] 30 Nov 2015, 10:07

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