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### Show Tags

21 Apr 2019, 06:04
2
2
00:00

Difficulty:

85% (hard)

Question Stats:

35% (03:24) correct 65% (03:14) wrong based on 23 sessions

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On Christmas, Susanne bought a few flowers for $1. The flower vendor was running a special Christmas offer which Susanne did not opt for. Had she opted for the offer, she would have spent$2 but got 30 more flowers and saved 60 cents per each dozen of flowers. How many flowers did she buy?

A. 40
B. 30
C. 20
D. 15
E. 10

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Chasing the dragon
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Joined: 15 Jan 2018
Posts: 507
Concentration: General Management, Finance
GMAT 1: 720 Q50 V37
Re: On Christmas, Susanne bought a few flowers for $1. [#permalink] ### Show Tags 21 Apr 2019, 06:41 5 Let Susanne bought x flowers. The total cost of x flowers =$1 = 100 cents
Price of 1 flower = 100/x
Price of 1 dozen (12 units) flowers = 1200/x

Accordingly to the Chrismas offer.

### Show Tags

21 Apr 2019, 14:03
In order to save money, the number of flowers bought has to be less than 30 flowers.

We can eliminate A & B.

C) $$\frac{100c}{20} = 5c$$ $$5c*12 = 60c$$ So 20 + 30 = 50 flowers $$\frac{200c}{50} = 4c$$ So $$4c*12 = 60c$$ No change, eliminate.

D) $$\frac{100c}{15} = 6.6c$$ $$6.6c*12 = 80c$$ So 15 + 30 = 45 flowers $$\frac{200c}{45} = 4.5c$$ So $$4.5c*12 = 54c$$ $$80 - 54 = 26c$$ ...Eliminate

E) $$\frac{100c}{10} = 10c$$ $$10c*12 = 120c$$ So 10 + 30 = 40 flowers $$\frac{200c}{40} = 5c$$ $$5c*12 = 60c$$ So $$120- 60 = 60c$$ ... Correct

E
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Joined: 12 Nov 2017
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Re: On Christmas, Susanne bought a few flowers for $1. [#permalink] ### Show Tags 23 Apr 2019, 05:02 Let she bought x flowers in 1$.
Discount is 60/12=5 cents/flower.
In case if she had bought x+30 flowers (2nd case) then she would have saved
30×5=150 cents =1.5 $If w/o discount she had bought x+30 flowers the price would have been 1$+1.5$=2.5$
But with discount she saved 0.5$or 50 cents on x flowers so x= 50cents saved/ discount rate(5cents) x=50/5=10 flowers Posted from my mobile device Re: On Christmas, Susanne bought a few flowers for$1.   [#permalink] 23 Apr 2019, 05:02
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