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# Mr. Chang sold 100 oranges to customers for $300 and earned  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: Founder Joined: 18 Apr 2015 Posts: 11282 Followers: 240 Kudos [?]: 2826 [0], given: 10718 Mr. Chang sold 100 oranges to customers for$300 and earned [#permalink]  29 Apr 2019, 01:45
Expert's post
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Question Stats:

17% (01:40) correct 82% (00:46) wrong based on 23 sessions
Mr. Chang sold 100 oranges to customers for $300 and earned a profit.  Quantity A Quantity B The percentage of the profit that Chang got The selling price of the oranges expressed as a percentage of the cost A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given. [Reveal] Spoiler: OA _________________ Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. Active Member Joined: 03 Apr 2019 Posts: 196 Followers: 2 Kudos [?]: 171 [2] , given: 2 Re: Mr. Chang sold 100 oranges to customers for$300 and earned [#permalink]  01 May 2019, 16:30
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Let x be the profit, SP per orange= 300/100=3,CP per orange = 3-x

QTY A: x/3
QTY B: 3/(3-x)
Lets assume that profit is 1.
QTY A: 1/3
QTY B: 3/2
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Re: Mr. Chang sold 100 oranges to customers for $300 and earned [#permalink] 10 Aug 2019, 12:40 Can someone please explain this? Founder Joined: 18 Apr 2015 Posts: 11282 Followers: 240 Kudos [?]: 2826 [1] , given: 10718 Re: Mr. Chang sold 100 oranges to customers for$300 and earned [#permalink]  10 Aug 2019, 23:46
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Expert's post
The seller made a profit selling 100 oranges for 300 dollars.

So each orange selling price was 3 dollars.

Now, these 3 dollars are already the final price via wich the merchant made a profit. so the cost price of one orange is 3 minus some buck.

If I bought an orange at 2,80 dollars and sell it at 3 dollars my gain is 0.2 dollars. This is basic accountability.

Quantity A says the % of profit which is our 0.2 dollars of difference called as X so $$\frac{x}{3}$$

Quantity B says the selling price expressed as % of the cost price. So $$\frac{x}{3-x}$$

Now $$\frac{x}{3} = \frac{x}{3-x}$$

Clearly, B is bigger because the fraction is smaller
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