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77% (02:08) correct
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Let w, x, y, and z be positive numbers such that w is 40 percent less than x, and x is 40 percent less than y. If z is 46 percent less than y, then z is what percent greater than w ?
A. 34%
B. 40%
C. 50%
D. 60%
E. 66%
A. 34%
B. 40%
C. 50%
D. 60%
E. 66%
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13 Feb 2024, 16:55
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Let w, x, y, and z be positive numbers such that w is 40 percent less than x, and x is 40 percent less than y. If z is 46 percent less than y, then z is what percent greater than w ?
Given "w is 40 percent less than x, and x is 40 percent less than y," and "z is 46 percent less than y," we can express w and z in terms of y and then calculate the percentage difference.
Express w in terms of y:
w = 0.6x
x = 0.6y
w = 0.6(0.6y) = 0.36y
Express z in terms of y:
z = 0.54y
Calculate the percentage difference:
(z - w)/w = 0.18y/0.36y = 0.5 = 50%
A. 34%
B. 40%
C. 50%
D. 60%
E. 66%
Correct answer: C
Given "w is 40 percent less than x, and x is 40 percent less than y," and "z is 46 percent less than y," we can express w and z in terms of y and then calculate the percentage difference.
Express w in terms of y:
w = 0.6x
x = 0.6y
w = 0.6(0.6y) = 0.36y
Express z in terms of y:
z = 0.54y
Calculate the percentage difference:
(z - w)/w = 0.18y/0.36y = 0.5 = 50%
A. 34%
B. 40%
C. 50%
D. 60%
E. 66%
Correct answer: C
02 May 2024, 22:10
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DerekLin
Given: w is 40 percent less than x, and x is 40 percent less than y
z is 46 percent less than y
So assume y = 100
x = 60
w = 40% of 60 is 24 so 24 less than 60 i.e. 36
z = 54
z is 18 more than w which is 36 i.e. 50% more.
Answer (C)
Check Percentages: https://youtu.be/HxnsYI1Rws8
