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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: 7791 Followers: 145 Kudos [?]: 1597 [0], given: 7061 Mr. Chang sold 100 oranges to customers for$300 and earned [#permalink]  29 Apr 2019, 01:45
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0% (00:00) correct 100% (00:38) wrong based on 10 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 _________________ Moderator Joined: 03 Apr 2019 Posts: 110 Followers: 1 Kudos [?]: 78 [2] , given: 1 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: 7791 Followers: 145 Kudos [?]: 1597 [1] , given: 7061 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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