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# A gym that sold only individual and family memberships charged \$500

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Math Expert
Joined: 02 Sep 2009
Posts: 55236
A gym that sold only individual and family memberships charged \$500  [#permalink]

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10 Sep 2017, 04:48
00:00

Difficulty:

45% (medium)

Question Stats:

64% (01:59) correct 36% (01:18) wrong based on 27 sessions

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A gym that sold only individual and family memberships charged \$500 for an individual membership. If the gym's total revenue from memberships was \$450,000, what was the charge for a family membership?

(1) The revenue from individual memberships was \$150,000 less than the revenue from family memberships.
(2) The total revenue generated by family memberships was twice that generated by individual memberships.

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Intern
Joined: 10 Sep 2017
Posts: 2
Re: A gym that sold only individual and family memberships charged \$500  [#permalink]

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10 Sep 2017, 06:17
Let the total revenue from individual members and families be m and f respectively. It is given that m+f=450000.
Stmt 1 says: m+150000=f substituting this in the previous equation gives : m+m+150000=450000 i.e m=150000 and f=300000. However, the quest asks for the membership fee per family. As we do not have the total no. families we can not find this out. Hence...not suff

Stmt 2: F=2m. Hence, m+2m=450000 i.e. m=150000. Which leads us to the answer in stmt 1 itself. Hence not suff as still no information available on the number of families.

Ans is E
Re: A gym that sold only individual and family memberships charged \$500   [#permalink] 10 Sep 2017, 06:17
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