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# What is x% of y? (1) x% more than y is 69 (2) x% less than y is 51

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Retired Moderator
Joined: 22 Aug 2013
Posts: 1437
Location: India
What is x% of y? (1) x% more than y is 69 (2) x% less than y is 51  [#permalink]

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05 Mar 2018, 04:58
2
00:00

Difficulty:

15% (low)

Question Stats:

83% (01:19) correct 17% (00:51) wrong based on 67 sessions

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What is x% of y?

(1) x% more than y is 69

(2) x% less than y is 51
Retired Moderator
Joined: 07 Jan 2016
Posts: 1091
Location: India
GMAT 1: 710 Q49 V36
Re: What is x% of y? (1) x% more than y is 69 (2) x% less than y is 51  [#permalink]

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06 Mar 2018, 11:47
amanvermagmat wrote:
What is x% of y?

(1) x% more than y is 69

(2) x% less than y is 51

1)

x% more than y = 69

y+ xy/100
insufficient to find xy/100

2) x% less than y = 51

y - xy/100

on combining we can find

xy/100

x/100 x y ~ x% of y

(C) imo
Intern
Joined: 12 Feb 2018
Posts: 9
Re: What is x% of y? (1) x% more than y is 69 (2) x% less than y is 51  [#permalink]

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06 Mar 2018, 11:56

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Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3373
Location: India
GPA: 3.12
What is x% of y? (1) x% more than y is 69 (2) x% less than y is 51  [#permalink]

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06 Mar 2018, 11:56
amanvermagmat wrote:
What is x% of y?

(1) x% more than y is 69

(2) x% less than y is 51

We will have two equations from the two statements.

Statement 1 gives y + xy/100 = 69
Statement 2 gives y - xy/100 = 51

Substituting xy/100 = 69 - y in the second equation,
we can find a unique value of y and lead to finding the value of x
Therefore, Option C is the answer as both statements are needed to solve this question!

P.S We always need two statements to solve for a unique solution, when we have 2 variables
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What is x% of y? (1) x% more than y is 69 (2) x% less than y is 51   [#permalink] 06 Mar 2018, 11:56
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