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# What is 35% of 4/13 of 520?

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Math Expert
Joined: 02 Sep 2009
Posts: 59587
What is 35% of 4/13 of 520?  [#permalink]

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08 May 2015, 06:23
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Difficulty:

5% (low)

Question Stats:

91% (00:59) correct 9% (01:39) wrong based on 126 sessions

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What is 35% of 4/13 of 520?

(A) 56
(B) 84
(C) 160
(D) 182
(E) 250

Kudos for a correct solution.

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Re: What is 35% of 4/13 of 520?  [#permalink]

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08 May 2015, 09:21
1
35% of 4/13 of 520
=35/100 * 4/13 * 520
= 56
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Re: What is 35% of 4/13 of 520?  [#permalink]

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08 May 2015, 10:42
1

4/13 of 520 = 2080/13 = 160
160*.35 = 56
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What is 35% of 4/13 of 520?  [#permalink]

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Updated on: 09 May 2015, 07:44
1
Not sure if this is 700 lvl

First is to get 4/13 of 520 = 2080/13 = 160

now 35% of 160. For these type of calculations I always do it in increments of 10% for quick calcs. 10% of 160 is 16. I need 30% + 5%. So 16*3+16/2 = 56

A
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Originally posted by Bowtye on 09 May 2015, 07:41.
Last edited by Bowtye on 09 May 2015, 07:44, edited 1 time in total.
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Re: What is 35% of 4/13 of 520?  [#permalink]

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09 May 2015, 07:43
1
Bunuel wrote:
What is 35% of 4/13 of 520?

(A) 56
(B) 84
(C) 160
(D) 182
(E) 250

Kudos for a correct solution.

35% OF 4/13 of 520
Now, 4/13*520=4*40=160
And, (35/100)*160=56
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Re: What is 35% of 4/13 of 520?  [#permalink]

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09 May 2015, 11:46
1
Hi All,

The answer choices to this question are 'spaced-out' enough that we can estimate the correct answer and avoid having to do precise math.

We're asked for 35% of 4/13 of 520.....

So we're really asked for the approximate value of....

(1/3)(1/3)(520)

1/9 of 520.....

1/9 of 540 is 60, so we're looking for a number that's around 60....

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Posts: 59587
Re: What is 35% of 4/13 of 520?  [#permalink]

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11 May 2015, 06:48
Bunuel wrote:
What is 35% of 4/13 of 520?

(A) 56
(B) 84
(C) 160
(D) 182
(E) 250

Kudos for a correct solution.

MANHATTAN GMAT OFFICIAL SOLUTION:

This problem can be solved easily if we just use approximation: 35% is a little over 1/3, while 4/13 is a little less than 4/12, which is 1/3. Thus, the answer is about 1/3 of 1/3 of 520, or 1/9 of 520. Since the first 1/3 is a slight underestimate and the second 1/3 is a slight overestimate, the errors will partially cancel each other out. Our estimate will be relatively accurate.

Even the last step in this problem can be approximated. Pick a convenient number nearby, such as 540, which is 9 × 60. Thus, 1/9 of 520 is about 60. The correct answer must be A.

Actually, since 520 is less than 540, 1/9 of 520 must be slightly less than 60. Keeping track not only of your current estimate, but also of the degree to which you have overestimated or underestimated , can help you pinpoint the correct answer more confidently.

In a problem such as this one, making a logical error or omitting a step in the computation is the trap.

For example, if you computed 4/13 of 520 but didn't take 35% of the result, you would get 160 and select answer choice C incorrectly. If instead you computed 35% of 520 but didn't take 4/13 of the result, you would get 182 and select answer choice D—again, incorrectly. On every problem, follow good process to avoid needless mistakes.

The wording of the question can sometimes provide a strong clue that estimation should be used. Look for phrases such as these:
* “…the number is approximately equal to:”
* “…this result is closest to:”
* “Which of the following is most nearly equal to…?”
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Re: What is 35% of 4/13 of 520?   [#permalink] 11 May 2015, 06:48
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