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09 Apr 2014, 18:14
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Veritas Prep - Book 2 - page 209
61. If x is y percent of z, is y greater than 100?
1) z/x = 0.8
2) x decreased by 20% is equal to z
A B C D E : Data Sufficency
61. If x is y percent of z, is y greater than 100?
1) z/x = 0.8
2) x decreased by 20% is equal to z
A B C D E : Data Sufficency
09 Apr 2014, 22:02
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jasdhanda
x = (y/100)z hence y = 100x/z hence the question is asking is x/z greater than 1?
Statement I is sufficient as it gives us the value of x/z.
Statement II is also sufficient as it gives the same thing as statement I.
Hence the answer is D.
12 May 2014, 02:03
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Given : x = yz/100 => y= 100(x/z)
Now,
S1: z/x = 8/10 => x/z = 10/8
substitute: y= 100 * 10/8 = 125 >100 (Sufficient)
S2: x- 20x/100 = z => 4x/5 =z => x/z =5/4
substitute: y = 100 * 5/4 => 125 >100 (Sufficient)
Both are independently sufficient. Therefore (D)
Now,
S1: z/x = 8/10 => x/z = 10/8
substitute: y= 100 * 10/8 = 125 >100 (Sufficient)
S2: x- 20x/100 = z => 4x/5 =z => x/z =5/4
substitute: y = 100 * 5/4 => 125 >100 (Sufficient)
Both are independently sufficient. Therefore (D)
