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Difficulty:
55%
(hard)
Question Stats:
63% (01:59) correct
37%
(02:45)
wrong
based on 59
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On January 1, 2026, Atlas Fitness had 48,000 more active members than Beacon Fitness. During 2026, the number of active members at each gym increased by p percent. After the increase, how many more active members did Atlas Fitness have than Beacon Fitness did?
(1) On January 1, 2026, Beacon Fitness’s number of active members was 5/11 of Atlas Fitness’s number of active members.
(2) p = 15
(1) On January 1, 2026, Beacon Fitness’s number of active members was 5/11 of Atlas Fitness’s number of active members.
(2) p = 15
M47-50
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10 Mar 2026, 02:30
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GMAT Club Official Solution:
On January 1, 2026, Atlas Fitness had 48,000 more active members than Beacon Fitness. During 2026, the number of active members at each gym increased by p percent. After the increase, how many more active members did Atlas Fitness have than Beacon Fitness did?
Let Atlas and Beacon start with A and B active members.
Given:
A - B = 48,000.
After the p percent increase at both gyms:
Atlas becomes A * (1 + p/100)
Beacon becomes B * (1 + p/100)
So the new difference is:
A * (1 + p/100) - B * (1 + p/100) = (A - B) * (1 + p/100) = 48,000 * (1 + p/100)
So, to answer the question, we only need p.
(1) On January 1, 2026, Beacon Fitness’s number of active members was 5/11 of Atlas Fitness’s number of active members.
This only gives a relationship between A and B, but p is still unknown, so the new difference is unknown. Not sufficient.
(2) p = 15
This gives the missing value of p, so the new difference is 48,000 * (1 + 15/100). Sufficient.
Answer: B.
On January 1, 2026, Atlas Fitness had 48,000 more active members than Beacon Fitness. During 2026, the number of active members at each gym increased by p percent. After the increase, how many more active members did Atlas Fitness have than Beacon Fitness did?
Let Atlas and Beacon start with A and B active members.
Given:
A - B = 48,000.
After the p percent increase at both gyms:
Atlas becomes A * (1 + p/100)
Beacon becomes B * (1 + p/100)
So the new difference is:
A * (1 + p/100) - B * (1 + p/100) = (A - B) * (1 + p/100) = 48,000 * (1 + p/100)
So, to answer the question, we only need p.
(1) On January 1, 2026, Beacon Fitness’s number of active members was 5/11 of Atlas Fitness’s number of active members.
This only gives a relationship between A and B, but p is still unknown, so the new difference is unknown. Not sufficient.
(2) p = 15
This gives the missing value of p, so the new difference is 48,000 * (1 + 15/100). Sufficient.
Answer: B.
General Discussion
02 Mar 2026, 04:54
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Final answer
55 200
55 200
