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12 Days of Christmas GMAT Competition - Day 1: In a jar of 300 marbles
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11 Dec 2023, 07:00
11 Dec 2023, 07:00
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Difficulty:
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Question Stats:
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21%
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12 Days of Christmas 🎅 GMAT Competition with Lots of Questions & Fun
In a jar of 300 marbles, 98% are red. How many red marbles need to be removed to bring the percentage of red marbles down to 95%?
A. 60
B. 120
C. 160
D. 180
E. 240
In a jar of 300 marbles, 98% are red. How many red marbles need to be removed to bring the percentage of red marbles down to 95%?
A. 60
B. 120
C. 160
D. 180
E. 240
|
Manager
Joined: 07 May 2023
Posts: 201
Given Kudos: 47
Location: India
Re: 12 Days of Christmas GMAT Competition - Day 1: In a jar of 300 marbles
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11 Dec 2023, 07:27
11 Dec 2023, 07:27
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Kudos
Bunuel wrote:
12 Days of Christmas 🎅 GMAT Competition with Lots of Questions & Fun
In a jar of 300 marbles, 98% are red. How many red marbles need to be removed to bring the percentage of red marbles down to 95%?
A. 60
B. 120
C. 160
D. 180
E. 240
In a jar of 300 marbles, 98% are red. How many red marbles need to be removed to bring the percentage of red marbles down to 95%?
A. 60
B. 120
C. 160
D. 180
E. 240
|
Number of marbles that are not red = 2% of 300 = 06
These marble represent the 5% of the marbles when the red marbles are removed.
\(\frac{6}{x} * 100 = 5\)
\(x = \frac{6}{5} * 100\)
x = 120
Number of red marbles to remove = 300 - 120 = 180
IMO D
Re: 12 Days of Christmas GMAT Competition - Day 1: In a jar of 300 marbles
[#permalink]
11 Dec 2023, 07:24
11 Dec 2023, 07:24
Expert Reply
Bunuel wrote:
12 Days of Christmas 🎅 GMAT Competition with Lots of Questions & Fun
In a jar of 300 marbles, 98% are red. How many red marbles need to be removed to bring the percentage of red marbles down to 95%?
A. 60
B. 120
C. 160
D. 180
E. 240
In a jar of 300 marbles, 98% are red. How many red marbles need to be removed to bring the percentage of red marbles down to 95%?
A. 60
B. 120
C. 160
D. 180
E. 240
|
GMAT Club Official Explanation:
Given that out of 300 marbles, 98% are red, the remaining 2%, or 6 marbles, are of some other color. We need these 6 marbles to constitute 5% of the marbles after a certain number of red marbles have been removed. Hence, there must be a total of 120 marbles left, and thus 300 - 120 = 180 red marbles must be removed.
Answer: D
