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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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What is x% more than y? (1) x% of y is 9 (2) y% more than x is 24  [#permalink]

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New post 05 Mar 2018, 04:04
2
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

75% (01:37) correct 25% (01:45) wrong based on 89 sessions

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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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Joined: 04 Jan 2018
Posts: 39
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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New post 05 Mar 2018, 09:32
2
ans is C

y+xy/100 is asked

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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What is x% more than y? (1) x% of y is 9 (2) y% more than x is 24  [#permalink]

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New post 19 Mar 2018, 12:35

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.

Answer: C
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