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# Karyn uses a certain credit card that sends her a monthly

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Senior Manager
Joined: 02 Oct 2005
Posts: 297

Kudos [?]: 24 [0], given: 0

Karyn uses a certain credit card that sends her a monthly  [#permalink]

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05 Nov 2005, 11:12
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0% (00:00) correct 0% (00:00) wrong based on 2 sessions

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Karyn uses a certain credit card that sends her a monthly
rebate of 2% of all of her purchases. In a certain year,
Karyn received an average (arithmetic mean) rebate of \$9 a
month. What was the total amount of Karyn's purchases on the
credit card that year?

A. \$5,400
B. \$6,250
C. \$4,800
D. \$3,375
E. \$5,924

Kudos [?]: 24 [0], given: 0

Manager
Joined: 04 Oct 2005
Posts: 246

Kudos [?]: 90 [0], given: 0

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05 Nov 2005, 11:29
rebate of 9\$ annually means a total rebate of 9*12 for the year = 108\$

108 is 2% of x --> 108 / 2/100 = 10800 / 2 = 5400 = Answer A

Kudos [?]: 90 [0], given: 0

Senior Manager
Joined: 02 Oct 2005
Posts: 297

Kudos [?]: 24 [0], given: 0

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05 Nov 2005, 20:15
OA is A and here is the detailed explanation for other's benefit:

We first need to determine how much of a rebate Laura spent
during the year.

Mean = (sum of all values) / (number of values)

\$9 = (sum of all values) / 12
\$108 = (sum of all values)

Thus, she received a total rebate of \$108 for the year. This
means that \$108 was 2% of her purchases for the year. We can
now set up the following equation:

(Purchases) * .02 = \$108
Purchases = \$108/.02
Purchases = \$5,400

Kudos [?]: 24 [0], given: 0

05 Nov 2005, 20:15
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