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

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alphonsa
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A retailer marks her goods in such a way that the profit made by selli [#permalink] New post  04 Sep 2014, 03:36
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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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eshan429
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Re: A retailer marks her goods in such a way that the profit made by selli [#permalink] New post  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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KarishmaB
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Re: A retailer marks her goods in such a way that the profit made by selli [#permalink] New post  04 Sep 2014, 22:11
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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


Please explain ? :(


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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PareshGmat
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Re: A retailer marks her goods in such a way that the profit made by selli [#permalink] New post  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 \(= \frac{y}{x} * 100 = \frac{20}{30} * 100 = 66.667%\)

Answer = A
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Re: A retailer marks her goods in such a way that the profit made by selli [#permalink] New post  11 Oct 2023, 10:44
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Re: A retailer marks her goods in such a way that the profit made by selli [#permalink]
11 Oct 2023, 10:44
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