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# A retailer marks her goods in such a way that the profit made by selli

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Current Student
Joined: 22 Jul 2014
Posts: 124
Concentration: General Management, Finance
GMAT 1: 670 Q48 V34
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A retailer marks her goods in such a way that the profit made by selli  [#permalink]

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04 Sep 2014, 03:36
4
00:00

Difficulty:

55% (hard)

Question Stats:

58% (01:55) correct 42% (01:30) wrong based on 112 sessions

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A retailer marks her goods in such a way that the profit made by selling 50 articles is equal to the selling price of 20 articles. What is the percentage of profit made by the retailer?

A) 66.67%
B) 33.33%
C) 40%
D) 25%
E) 20%

Source:4gmat
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Re: A retailer marks her goods in such a way that the profit made by selli  [#permalink]

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04 Sep 2014, 04:18
alphonsa wrote:
A retailer marks her goods in such a way that the profit made by selling 50 articles is equal to the selling price of 20 articles. What is the percentage of profit made by the retailer?
A) 66.67%
B) 33.33%
C) 40%
D) 25%
E) 20%

We know, $$Selling Price (SP) = Cost (C) + Profit (P)$$

Also, $$Percentage Profit = \frac{{SP - C}}{C} = \frac{P}{C}$$

Now, the question tells us $$50 * P = 20 * SP$$

or $$50 * P = 20 * (C + P)$$

or $$30 * P = 20 * C$$

or $$\frac{P}{C} = \frac{20}{30} \approx 0.6667 = 66.67%$$
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Re: A retailer marks her goods in such a way that the profit made by selli  [#permalink]

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04 Sep 2014, 22:11
1
alphonsa wrote:
A retailer marks her goods in such a way that the profit made by selling 50 articles is equal to the selling price of 20 articles. What is the percentage of profit made by the retailer?
A) 66.67%
B) 33.33%
C) 40%
D) 25%
E) 20%

Source:4gmat

Say, cost price of each article = CP and selling price of each = SP

We are given:

(SP - CP)*50 = 20*SP

30*SP = 50*CP

$$\frac{SP}{CP} = \frac{5}{3}$$

$$\frac{(SP - CP)}{CP} = \frac{(5 - 3)}{3} = \frac{2}{3}$$ (Subtracting 1 from both sides)

$$Profit% = \frac{(SP - CP)}{CP} * 100 = \frac{2}{3} * 100 = 66.7%$$
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Re: A retailer marks her goods in such a way that the profit made by selli  [#permalink]

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05 Sep 2014, 02:53
I recall this problem already present in the forums......

Let Cost Price = x

Profit = y

Selling Price = x+y

50y = 20(x+y)

30y = 20x

Percentage Profit $$= \frac{y}{x} * 100 = \frac{20}{30} * 100 = 66.667%$$

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Re: A retailer marks her goods in such a way that the profit made by selli  [#permalink]

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18 Sep 2017, 10:30
Hello from the GMAT Club BumpBot!

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: A retailer marks her goods in such a way that the profit made by selli &nbs [#permalink] 18 Sep 2017, 10:30
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