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What is the value of 10 percent of y?

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What is the value of 10 percent of y? [#permalink]

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Difficulty:

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Question Stats:

95% (00:21) correct 5% (00:22) wrong based on 914 sessions

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What is the value of 10 percent of y?

(1) 5 percent of y is 60.
(2) y is 80 percent of 1,500.

Source: [OG 2016]
[Reveal] Spoiler: OA

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Originally posted by BrainLab on 19 Sep 2015, 12:58.
Last edited by ENGRTOMBA2018 on 19 Sep 2015, 14:25, edited 1 time in total.
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Re: What is the value of 10 percent of y? [#permalink]

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New post 22 Sep 2015, 01:03
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(1) Percentages are linear. If 5% is 60, 10% is 120. Sufficient.
(2) Y is 80% of 1500. So, Y is 1500/0.8. So, 10% of Y is 0.1*1500/0.8. Sufficient.

Hence, (D).
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Re: What is the value of 10 percent of y? [#permalink]

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New post 27 Mar 2016, 19:22
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Here is a visual that should help.
Attachments

Screen Shot 2016-03-27 at 7.21.54 PM.png
Screen Shot 2016-03-27 at 7.21.54 PM.png [ 365.08 KiB | Viewed 6749 times ]


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Re: What is the value of 10 percent of y? [#permalink]

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Statement 1: 1/20 * y = 60
Statement 2: y = 1500 * 4/5

Each statement is sufficient. Hence D. :D
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Re: What is the value of 10 percent of y? [#permalink]

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BrainLab wrote:
What is the value of 10 percent of y?

(1) 5 percent of y is 60.
(2) y is 80 percent of 1,500.

Source: [OG 2016]


Target question: What is the value of 10 percent of y?

Statement 1: 5 percent of y is 60
If 5 percent of y is 60, then 10 percent of y is 120
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Aside: we can keep going with this logic.
For example, if 5% of y is 60 then 0.5% of y is 6
and 50% of y is 600
and 15% of y is 180
and 20% of y is 240
and 25% of y is 300
etc...

Statement 2: y is 80 percent of 1,500
So, y = 80/100 of 1500
In other words, y = (0.8)(1500)
Since we COULD determine the value of y, we COULD then find the value of 10 percent of y
Since we COULD answer the target question with certainty, statement 2 is SUFFICIENT

Answer:
[Reveal] Spoiler:
D


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Re: What is the value of 10 percent of y? [#permalink]

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New post 25 Jul 2017, 12:06
5% of y is 60.
10% is representing the double the value which is 120.
For the second statement,80% of 1500=1200,therefore 10% of the value is 120.
Both statements are sufficient.


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Re: What is the value of 10 percent of y? [#permalink]

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New post 16 Dec 2017, 15:29
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Hi All,

This DS question is designed with some great concept 'shortcuts' - meaning that you don't need to do any actual math to answer this question (as long as you recognize the concepts involved).

We're asked for the value of 10% of Y.

1) 5% of Y = 60

This is one variable with one equation (with nothing special - such as exponents), meaning that you CAN solve it (and there will be just one answer). If you chose to solve it, you'd have...

.05(Y) = 60
Y = 1200

As it is, you don't have to do that work if you recognize the Algebra concept involved here.
Fact 1 is SUFFICIENT

2) Y is 80% of 1500

Again, we have the same concept as in Fact 1 (above) - one variable and one equation.... so we know it's SUFFICIENT. Here's the proof though:

Y = (.8)(1500)
Y = 1200
Fact 2 is SUFFICIENT

Final Answer:
[Reveal] Spoiler:
D


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Re: What is the value of 10 percent of y?   [#permalink] 16 Dec 2017, 15:29
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