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At a florist shop on a certain day, all corsages sold for either $20

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Bunuel
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At a florist shop on a certain day, all corsages sold for either $20 [#permalink] New post   11 Feb 2020, 03:56
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At a florist shop on a certain day, all corsages sold for either $20 or $30. If 8 of the corsages that sold for $30 had instead sold for $20, then the store's revenue from corsages that day would have been reduced by 20 percent. What was the store's actual revenue from corsages that day?

A. $200
B. $400
C. $600
D. $800
E. $1000
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Re: At a florist shop on a certain day, all corsages sold for either $20 [#permalink] New post   11 Feb 2020, 04:07
Given: All corsages sold for either $20 or $30

If 8 of the corsages that sold for $30 had instead sold for $20, means 8*10 = $80 less

Above less amount ($80) is equal to 20% of reduced store revenue.

20% of Revenue(Original) = 80 => Revenue(Original) = $400

IMO Option B
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Re: At a florist shop on a certain day, all corsages sold for either $20 [#permalink] New post   16 Feb 2020, 08:11
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Bunuel wrote:
At a florist shop on a certain day, all corsages sold for either $20 or $30. If 8 of the corsages that sold for $30 had instead sold for $20, then the store's revenue from corsages that day would have been reduced by 20 percent. What was the store's actual revenue from corsages that day?

A. $200
B. $400
C. $600
D. $800
E. $1000


If 8 of the corsages that sold for $30 had instead sold for $20, the revenue would have been reduced by $80 since each corsage would be $10 less. If we let x = the actual revenue, we can create the equation:

x - 80 = 0.8x

0.2x = 80

x = 80/0.2 = 800/2 = 400

Answer: B
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Re: At a florist shop on a certain day, all corsages sold for either $20 [#permalink] New post   16 Feb 2020, 08:32
Bunuel wrote:
At a florist shop on a certain day, all corsages sold for either $20 or $30. If 8 of the corsages that sold for $30 had instead sold for $20, then the store's revenue from corsages that day would have been reduced by 20 percent. What was the store's actual revenue from corsages that day?

A. $200
B. $400
C. $600
D. $800
E. $1000


Given:
1. At a florist shop on a certain day, all corsages sold for either $20 or $30.
2 .If 8 of the corsages that sold for $30 had instead sold for $20, then the store's revenue from corsages that day would have been reduced by 20 percent.

Asked: What was the store's actual revenue from corsages that day?

Reduction in store's revenues If 8 of the corsages that sold for $30 had instead sold for $20 = $10 * 8 = $80
Let the store's actual revenues be x
20% x = $80
x = $80/20% = $400

IMO B
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Re: At a florist shop on a certain day, all corsages sold for either $20 [#permalink] New post   17 Feb 2020, 04:03
Bunuel wrote:
At a florist shop on a certain day, all corsages sold for either $20 or $30. If 8 of the corsages that sold for $30 had instead sold for $20, then the store's revenue from corsages that day would have been reduced by 20 percent. What was the store's actual revenue from corsages that day?

A. $200
B. $400
C. $600
D. $800
E. $1000


n: # of corsages at $20
p: # of corsages at $30
r: revenue

r= 20n + 30p
If 8 of the corsages that sold for $30 had instead sold for $20
0.8r= 20(n+8) + 30(p-8)
0.8r= 20n + 20x8 + 30p -30x8
0.8r= 20n + 30p -10x8
0.8r= r -10x8
0.2r= 10x8

r=400

Answer C
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Re: At a florist shop on a certain day, all corsages sold for either $20 [#permalink]
17 Feb 2020, 04:03
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