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Cost and profit

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Cost and profit [#permalink]

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New post 19 May 2011, 20:49
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A whole-seller allows a discount of 20% on the list price to a retailer. The retailer sells at 5% discount on the list price. If the customer paid $38 for an article, what profit is made by the retailer ?
a. $10
b. $8
c. $6
d. $12

How to do this ?
[Reveal] Spoiler: OA
Director
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Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
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Re: Cost and profit [#permalink]

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New post 19 May 2011, 21:01
Let the list price be x

Cp to retailer = 0.8 x
Sp retailer = 0.95 x

Profit = 0.15 x

We know that customer paid $38. hence 0.95x = 38 and x = 40

Profit = 0.15 * 40 = $6

ramkryp wrote:
A whole-seller allows a discount of 20% on the list price to a retailer. The retailer sells at 5% discount on the list price. If the customer paid $38 for an article, what profit is made by the retailer ?
a. $10
b. $8
c. $6
d. $12

How to do this ?
Intern
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Joined: 17 May 2011
Posts: 8
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Kudos [?]: 16 [0], given: 1

Re: Cost and profit [#permalink]

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New post 19 May 2011, 21:17
Thanks :)
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Re: Cost and profit [#permalink]

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New post 19 May 2011, 21:18
retailer's SP = 0.95 LP = 38
LP = 40

retailer's CP = 0.8 LP = discounted price from the whole sailer = 32

Profit = 0.95 LP - 0.8 LP = 38 - 32 = 6
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Re: Cost and profit [#permalink]

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New post 21 May 2011, 14:32
whole sale person's selling price = retailers cost price = (80/100)(LP)

retailers selling price = (95/100)LP

=> profit = (15/100)*LP equation1

also given that (95/100)LP = 38 eqution2

substituting 2 in 1 we have
profit = 6
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Re: Cost and profit [#permalink]

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New post 24 May 2011, 09:34
The customer pays $95 when the list price is $ 100

Therefore the list price of the article when the customer pays $ 38 = 100 * 38/95 = $ 40

The retailer got it from the wholesaler after 20% discount

So the cost price of the article to the retailer = 0.8 * 40 = $ 32

Hence profit = SP - CP = $6
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Re: Cost and profit [#permalink]

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New post 25 May 2011, 07:07
Step 1:

Let the list price be x

So, the retailer sells the product @ 5% discount on the list price
The selling price is 38

=> 0.95x = 38
=> x=38/0.95=40


Step 2:

But the wholesaler sells the product to the retailer @ 20% discount on the list price
So the cost price to the retailer is:

0.8*40=32


Step 3:
So, the profit to the retailer is SP-CP = 38-32 = 6

Option (C) is the right answer.
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Re: Cost and profit [#permalink]

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New post 23 Aug 2016, 01:48
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Cost and profit   [#permalink] 23 Aug 2016, 01:48
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