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# A salon spa loyalty program magazine charges a \$250 program fee. In

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
A salon spa loyalty program magazine charges a \$250 program fee. In  [#permalink]

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08 Dec 2015, 02:53
00:00

Difficulty:

15% (low)

Question Stats:

84% (01:44) correct 16% (02:24) wrong based on 32 sessions

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A salon spa loyalty program magazine charges a \$250 program fee. In light of new tax laws, the price is planned to be increased by \$50. If the program could lose 400 subscribers thereafter and still collect the same revenue as it did before, how many subscribers did the magazine have last year?

A. 2000
B. 2200
C. 2400
D. 2600
E. 2800

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Joined: 20 Feb 2015
Posts: 756
Concentration: Strategy, General Management
Re: A salon spa loyalty program magazine charges a \$250 program fee. In  [#permalink]

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08 Dec 2015, 03:25
1
assuming they had x subscribers last year
they earned x*250
after the new tax law
they earned (x-400)*300
as per the question
250x=300x-120000
x=120000/50
x=2400
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Re: A salon spa loyalty program magazine charges a \$250 program fee. In  [#permalink]

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08 Dec 2015, 07:26
Let the total number subscribers the magazine have last year = N
Program lost 400 subscribers and still was able to collect the same revenue .
Revenue earned by subscriber last year * number of subscribers in last year = Revenue earned by subscriber in current year * number of subscribers in current year
250 * N = 300*(N-400)
=> 5N = 6N - 2400
=> N = 2400

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Re: A salon spa loyalty program magazine charges a \$250 program fee. In  [#permalink]

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03 Mar 2019, 23:26
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Re: A salon spa loyalty program magazine charges a \$250 program fee. In   [#permalink] 03 Mar 2019, 23:26
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