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What is x% more than y? (1) x% of y is 9 (2) y% more than x is 24

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DS Forum Moderator
Joined: 22 Aug 2013
Posts: 1209
Location: India
What is x% more than y? (1) x% of y is 9 (2) y% more than x is 24 [#permalink]

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05 Mar 2018, 05:04
2
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:15) correct 28% (01:19) wrong based on 78 sessions

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What is x% more than y?

(1) x% of y is 9

(2) y% more than x is 24
Intern
Joined: 04 Jan 2018
Posts: 36
Re: What is x% more than y? (1) x% of y is 9 (2) y% more than x is 24 [#permalink]

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05 Mar 2018, 10:32
1
ans is C

1) xy/100=9..........................(1)

2) x+xy/100=24....................(2)

subst 1 in 2
we get 'x'

subst x in 1 or 2.
we get y
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e-GMAT Representative
Joined: 04 Jan 2015
Posts: 1571
What is x% more than y? (1) x% of y is 9 (2) y% more than x is 24 [#permalink]

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19 Mar 2018, 13:35

SOLUTION

We need to find the value which is $$x$$% more than $$y$$.

Thus, we need to find the value of $$y$$+$$\frac{x}{100}$$ * $$y$$.

Statement-1: “$$x$$% of $$y$$ is $$9$$”.

• $$\frac{x}{100}$$ * $$y$$=$$9$$……………………(1)

Since we don’t know the value of $$x$$ and $$y$$, statement 1 alone is not sufficient to answer the question.

Statement-2: “$$y$$% more than $$x$$ is $$24$$”.

• $$x$$+ $$\frac{y}{100}$$*$$x$$=$$24$$…………………….(2)

Since we don’t know the value of $$x$$ and $$y$$, statement 2 alone is not sufficient to answer the question.

Combining both the statements:

• $$x$$+ $$\frac{x*y}{100}$$ = $$24$$

• $$x+9=24$$

• $$x=15$$
Putting the value of $$x$$ in equation $$1$$

• $$\frac{x*y}{100}$$=$$9$$

• $$15$$*$$\frac{y}{100}$$=$$9$$

• $$y=60$$

We now have the value of $$x$$ and $$y$$ both. Hence, we can find the asked value.

Statement (1) and (2) together are sufficient.

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What is x% more than y? (1) x% of y is 9 (2) y% more than x is 24   [#permalink] 19 Mar 2018, 13:35
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