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135% of what number is 405?

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135% of what number is 405?  [#permalink]

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New post 17 Apr 2017, 00:45
1
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

97% (00:29) correct 3% (00:58) wrong based on 40 sessions

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Re: 135% of what number is 405?  [#permalink]

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New post 17 Apr 2017, 04:35
This is same like asking 405 is 135% of what number
405=135/100*x
x=405*100/135
x=300
choice B
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Re: 135% of what number is 405?  [#permalink]

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New post 17 Apr 2017, 08:12
Top Contributor
Bunuel wrote:
135% of what number is 405?

A. 546
B. 300
C. 270
D. 263
E. 135


Let's test some easy numbers...

135% of 100 is 135
135% of 200 is 270
135% of 300 is 405
STOP!

Answer:

Cheers,
Brent
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Re: 135% of what number is 405?  [#permalink]

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New post 20 Apr 2017, 16:48
1
Bunuel wrote:
135% of what number is 405?

A. 546
B. 300
C. 270
D. 263
E. 135



Recall that 135% expressed as a decimal number is 1.35.

1.35x = 405

x = 405/1.35

x = 40500/135

x = 300

Answer: B
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Re: 135% of what number is 405?  [#permalink]

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New post 17 May 2017, 13:04
135% of what number is 405?

A. 546
B. 300
C. 270
D. 263
E. 135

Let number be x.
135% of x = 405
\(\frac{135}{100}\) * x = 405
x = \(\frac{405 * 100}{135}\) = 300
Answer B...

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135% of what number is 405?  [#permalink]

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New post 17 May 2017, 13:53
Let me back solve the problem for the following question.

Let us start from option C because once we check the answer we would be knowing whether to go upwards or downwards options.

The no: mentioned in the option C is 270.

We know that 100% of 270 is 270. Therefore 10% would be 27 and hence 5% would be 13.5.

Therefore 135% would be 270+3*27+13.5<405. Hence the value should be greater than 270.


Eliminate option C,D & E.

Lets check option B in which the value mentioned is 300.

100% of 300 is 300. Therefore 10% would be 30 and 5% would be 15.

Therefore 135% would be 300+3*30+15 = 405.

Hence option B is the right option.
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135% of what number is 405? &nbs [#permalink] 17 May 2017, 13:53
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