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# All but 50 of the 1,000 plants at the annual flower show were sold. Of

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Math Expert
Joined: 02 Sep 2009
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All but 50 of the 1,000 plants at the annual flower show were sold. Of [#permalink]

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14 Sep 2017, 03:00
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All but 50 of the 1,000 plants at the annual flower show were sold. Of the plants sold, 30 percent were sold at a discount of 25 percent off the full price, and the remaining plants were sold at the full price of $12. What was the total revenue form the plant sales? A.$8,550
B. $8.835 C.$10,545
D. $11,100 E.$12,000
[Reveal] Spoiler: OA

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Re: All but 50 of the 1,000 plants at the annual flower show were sold. Of [#permalink]

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14 Sep 2017, 03:29
All but 50 of the 1,000 plants at the annual flower show were sold. => No.of plants sold = 1000-50 =950

Of the plants sold, 30 percent were sold at a discount of 25 percent off the full price =>
=> Let full price be p. So 30% of 950 sold at rate=(1-25/100) of p = 75/100 *p

and the remaining plants were sold at the full price of $12. So full price = p=$ 12. Remaining plans = 70% of 950 sold at rate $12 What was the total revenue form the plant sales =$$\frac{30}{100}*950 * \frac{75}{100}* 12 + \frac{70}{100}*950 *12$$ = 3*95 * 9 + 7*95*12 = 95(27+84) = 95 *111 = 10545 ( 95*111 => number ending with 5 and greater than 9500 . Only option C) Answer C Director Joined: 02 Sep 2016 Posts: 784 Re: All but 50 of the 1,000 plants at the annual flower show were sold. Of [#permalink] ### Show Tags 14 Sep 2017, 04:33 I first solved it this way: Total= 1000 Sold= 950 Sold at 25% of 12= 30% of 950= 285 Remaining sold at 12= 665 Total revenue= 25%*12*285+ 665*12= 8835 (Option B) Then I saw the solution given and again solved it. I realised that its 25% OFF (i.e. it needs to be subtracted from 12. Discounted price= Total price- discount% of price) Sold= 950 Sold at the discounted price= 285 Standard price= 665 Total revenue= 285*9+ 665*12= 10545 (Option C) _________________ Help me make my explanation better by providing a logical feedback. If you liked the post, HIT KUDOS !! Don't quit.............Do it. Target Test Prep Representative Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 1821 Re: All but 50 of the 1,000 plants at the annual flower show were sold. Of [#permalink] ### Show Tags 18 Sep 2017, 04:45 1 This post received KUDOS Expert's post Bunuel wrote: All but 50 of the 1,000 plants at the annual flower show were sold. Of the plants sold, 30 percent were sold at a discount of 25 percent off the full price, and the remaining plants were sold at the full price of$12. What was the total revenue form the plant sales?

A. $8,550 B.$8.835
C. $10,545 D.$11,100
E. $12,000 We are given that all but 50 of the 1,000 plants were sold; thus 1,000 - 50 = 950 plants were sold. Furthermore, we are given that 30 percent of the plants sold were sold at a discount of 25%; thus 0.3 x 950 = 285 plants were sold at 25% discount. Since the full-price plants were sold at$12 dollars each, the discounted-price plants were sold at 12 x 0.75 = \$9 each. Thus, the revenue from the 285 discounted-price plants was 285 x 9 = 2,565 dollars.

The revenue from the full-price plants was (950 - 285) x 12 = 665 x 12 = 7,980 dollars.

Thus, the total revenue was 2,565 + 7,980 = 10,545 dollars.

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Re: All but 50 of the 1,000 plants at the annual flower show were sold. Of   [#permalink] 18 Sep 2017, 04:45
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