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

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Math Expert
Joined: 02 Sep 2009
Posts: 59722
X is 45.6% larger than Y. What is the value of Y?  [#permalink]

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05 Sep 2016, 08:57
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Difficulty:

35% (medium)

Question Stats:

71% (01:23) correct 29% (01:28) wrong based on 108 sessions

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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.

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Joined: 06 Nov 2014
Posts: 1870
Re: X is 45.6% larger than Y. What is the value of Y?  [#permalink]

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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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Joined: 23 Apr 2015
Posts: 279
Location: United States
WE: Engineering (Consulting)
Re: X is 45.6% larger than Y. What is the value of Y?  [#permalink]

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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
Math Expert
Joined: 02 Aug 2009
Posts: 8309
Re: X is 45.6% larger than Y. What is the value of Y?  [#permalink]

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

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29 Nov 2019, 08:53
Why can't it be "A" statement one only ?

We are told X=1.45Y

Statement 1: X=1.3Z ; Z=1.12Y. So,

1.Combine info from question and statement one:
MAKE THE X'S EQUAL TO EACH OTHER. 45Y=1.3Z THEN 1.45Y=1.3 (1.12Y). SOLVE FOR Y. Sufficient!?
Math Expert
Joined: 02 Aug 2009
Posts: 8309
Re: X is 45.6% larger than Y. What is the value of Y?  [#permalink]

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29 Nov 2019, 09:45
kendrikFROMkenya wrote:
Why can't it be "A" statement one only ?

We are told X=1.45Y

Statement 1: X=1.3Z ; Z=1.12Y. So,

1.Combine info from question and statement one:
MAKE THE X'S EQUAL TO EACH OTHER. 45Y=1.3Z THEN 1.45Y=1.3 (1.12Y). SOLVE FOR Y. Sufficient!?

You will get a ratio of at with Z but you require a NUMERICAL value for y
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Re: X is 45.6% larger than Y. What is the value of Y?  [#permalink]

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29 Nov 2019, 09:49
Why are you doing the percent change equation: N-O/O times 100, when we are dealing with two items?

chetan2u wrote:
kendrikFROMkenya wrote:
Why can't it be "A" statement one only ?

We are told X=1.45Y

Statement 1: X=1.3Z ; Z=1.12Y. So,

1.Combine info from question and statement one:
MAKE THE X'S EQUAL TO EACH OTHER. 45Y=1.3Z THEN 1.45Y=1.3 (1.12Y). SOLVE FOR Y. Sufficient!?

You will get a ratio of at with Z but you require a NUMERICAL value for y
Senior Manager
Joined: 13 Feb 2018
Posts: 492
GMAT 1: 640 Q48 V28
Re: X is 45.6% larger than Y. What is the value of Y?  [#permalink]

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29 Nov 2019, 09:50
The ratio is tricky, the infinite number of values are possible to satisfy given ratio
Gmat likes to play ratio game to confuse test-takers like me
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Re: X is 45.6% larger than Y. What is the value of Y?  [#permalink]

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29 Nov 2019, 09:53
If you try to equate 1.456Y=1.3 (1.12Y)
you will get, 1.456Y = 1.456Y.
But you can't find value of Y.

kendrikFROMkenya wrote:
Why can't it be "A" statement one only ?

We are told X=1.45Y

Statement 1: X=1.3Z ; Z=1.12Y. So,

1.Combine info from question and statement one:
MAKE THE X'S EQUAL TO EACH OTHER. 45Y=1.3Z THEN 1.45Y=1.3 (1.12Y). SOLVE FOR Y. Sufficient!?

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Re: X is 45.6% larger than Y. What is the value of Y?   [#permalink] 29 Nov 2019, 09:53
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