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# A gym sold only individual and group memberships. It charged a fee of

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Math Expert
Joined: 02 Sep 2009
Posts: 58445
A gym sold only individual and group memberships. It charged a fee of  [#permalink]

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29 Oct 2018, 04:52
00:00

Difficulty:

55% (hard)

Question Stats:

62% (01:59) correct 38% (01:17) wrong based on 41 sessions

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A gym sold only individual and group memberships. It charged a fee of \$200 for an individual membership. If the gym’s total revenue from memberships was \$240,000, what was the charge for a group membership?

(1) The revenue from individual memberships was 1/3 of the total revenue from memberships.
(2) The gym sold twice as many group memberships as individual memberships.

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Intern
Joined: 05 Sep 2018
Posts: 9
Re: A gym sold only individual and group memberships. It charged a fee of  [#permalink]

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29 Oct 2018, 05:03
Bunuel wrote:
A gym sold only individual and group memberships. It charged a fee of \$200 for an individual membership. If the gym’s total revenue from memberships was \$240,000, what was the charge for a group membership?

(1) The revenue from individual memberships was 1/3 of the total revenue from memberships.
(2) The gym sold twice as many group memberships as individual memberships.

(1) By knowing this we can calculate the number of individual members, but we can not find how many group memberships we have. (We do not know the charge for the group memberships.) (Insufficient)
(2) Also this statement does not provide us anything about the number of members, we still do not know total number of members. (Insufficient)

(1) & (2) together, we can calculate the revenue earned from individual memberships, then we can end up finding the number of individual members. Additionally by using statement (2) we can find the number of group memberships and we eventually may find the charge of a group membership.

Correct me if I have a flaw in the explanation.
Intern
Joined: 08 Jul 2017
Posts: 43
GMAT 1: 740 Q51 V38
Re: A gym sold only individual and group memberships. It charged a fee of  [#permalink]

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02 Nov 2018, 01:25
A gym sold only individual and group memberships. It charged a fee of \$200 for an individual membership. If the gym’s total revenue from memberships was \$240,000, what was the charge for a group membership?

(1) The revenue from individual memberships was 1/3 of the total revenue from memberships.
(2) The gym sold twice as many group memberships as individual memberships.

1. 80,000 from individuals. Very less information.
Insufficient.

2. 2x group memberships and x individual memberships.
2x * m + x * 200 = 240,000.
Insufficient.

Together, we know 200x = 80,000 so x = 400
So, 2*400*m + 400*200 = 240,000
800m = 160,000
m=1600/8
=200

C.
Re: A gym sold only individual and group memberships. It charged a fee of   [#permalink] 02 Nov 2018, 01:25
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