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Yesterday, Carl had 40 percent more CDs than Karen had. Today, Carl ga
[#permalink]
21 Dec 2025, 16:00
21 Dec 2025, 16:00
1
Expert Reply
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Question Stats:
80% (01:23) correct
19% (01:33) wrong based on 26 sessions
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Yesterday, Carl had 40 percent more CDs than Karen had. Today, Carl gave 20 percent of his CDs to Karen.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Number of CDs that Carl now has |
Number of CDs that Karen now has |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
- Part of the project: GRE Daily Quant Challenge - Topic-Wise 2025!!!
- Also replying to the unanswered questions
Re: Yesterday, Carl had 40 percent more CDs than Karen had. Today, Carl ga
[#permalink]
30 Dec 2025, 16:19
30 Dec 2025, 16:19
1
Yesterday, Carl had 40 percent more CDs than Karen had.
Let's let C1 = the # of CDs Carl had yesterday and K1 = the # of CDs Karen had yesterday.
C1 = 1.4K1
Today, Carl gave 20 percent of his CDs to Karen.
Let's let C2 = the # of CDs Carl has today and K2 = the # of CDs Karen has today.
C2 = 1.4K1(0.8) and K2 = K1 + 0.2C1 = K1 + 0.2(1.4K1)
Simplifying, you get:
C2 = 1.12K1 and K2 = K1 + 0.28K1 = 1.28K1
1.12K1 < 1.28K1
C2 < K2
Quantity A < Quantity B
Quantity B is bigger
Let's let C1 = the # of CDs Carl had yesterday and K1 = the # of CDs Karen had yesterday.
C1 = 1.4K1
Today, Carl gave 20 percent of his CDs to Karen.
Let's let C2 = the # of CDs Carl has today and K2 = the # of CDs Karen has today.
C2 = 1.4K1(0.8) and K2 = K1 + 0.2C1 = K1 + 0.2(1.4K1)
Simplifying, you get:
C2 = 1.12K1 and K2 = K1 + 0.28K1 = 1.28K1
1.12K1 < 1.28K1
C2 < K2
Quantity A < Quantity B
Quantity B is bigger
gmatclubot
Re: Yesterday, Carl had 40 percent more CDs than Karen had. Today, Carl ga [#permalink]
30 Dec 2025, 16:19
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