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X is 45.6% larger than Y. What is the value of Y?

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X is 45.6% larger than Y. What is the value of Y?  [#permalink]

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New post 05 Sep 2016, 08:57
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

75% (00:57) correct 25% (01:17) wrong based on 73 sessions

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Re: X is 45.6% larger than Y. What is the value of Y?  [#permalink]

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New post 05 Sep 2016, 09:19
Bunuel wrote:
X is 45.6% larger than Y. What is the value of Y?

(1) X is 30% larger than Z. Z is 12% larger than Y.

(2) Z is 15 more than Y.

Given: X is 45.6% larger that Y
Assume Y = 100k, X = 145.6k
Essentially, we need to solve for k

Statement 1: X is 30% larger than Z. Z is 12% larger than Y
Y = 100k, Z = 112k, X = 1.3*112k = 145.6k
We do not get any additional information from this statement.
INSUFFICIENT

Statement 2: Z is 15 more than Y
We do not know anything about Z
INSUFFICIENT

Combining both statements:
Z-Y = 15,
112k-100k = 15
k = 15/12 = 5/4 = 1.25
Hence Y = 100*1.25 = 125
SUFFICIENT

Correct Option: C
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Re: X is 45.6% larger than Y. What is the value of Y?  [#permalink]

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New post 05 Sep 2016, 09:24
Bunuel wrote:
X is 45.6% larger than Y. What is the value of Y?

(1) X is 30% larger than Z. Z is 12% larger than Y.

(2) Z is 15 more than Y.



Question is "Value of Y ?"

Consider 1) gives the ration relation between X and Z and between Z and Y. But none of the absolute value. Hence Not Sufficient. Eliminate A and D

Consider 2) gives the absolute relation between Z and Y. Not sufficient. Eliminate B.

1) + 2) Sufficient. Answer is C
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Re: X is 45.6% larger than Y. What is the value of Y?  [#permalink]

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New post 05 Sep 2016, 09:29
Bunuel wrote:
X is 45.6% larger than Y. What is the value of Y?

(1) X is 30% larger than Z. Z is 12% larger than Y.

(2) Z is 15 more than Y.


Ratio of x and y is given and value of y is asked...

1) statement I gives us some more ratios but no NUMERIC value..
So we can find ratios between different variables but none values..

2) statement II gives us some numeric value but no ratio between z and y..
So insufficient..

Combined..
We get two equations..
One a ratio between z and y ..
Second linear relationship between z and y..
Y can be found..
Sufficient
C
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: X is 45.6% larger than Y. What is the value of Y?  [#permalink]

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New post 26 Jul 2018, 19:20
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Re: X is 45.6% larger than Y. What is the value of Y? &nbs [#permalink] 26 Jul 2018, 19:20
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