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All data in a certain school are recorded either on computer or paper

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Joined: 14 Nov 2016
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All data in a certain school are recorded either on computer or paper [#permalink]

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New post 08 Apr 2017, 18:41
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A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

59% (03:36) correct 41% (03:08) wrong based on 37 sessions

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All data in a certain school are recorded either on computer or paper. Out of inaccurate records on the computer, data on paper make up 80%. And, out of the inaccurate data on paper, records on computer account for 48%. Out of all data, inaccurate data, both on computer and paper, make up 12%. What is the percent of accurate data among all data without regarding the record method-either on computer or paper?

A. 45%
B. 56%
C. 72%
D. 86%
E. 90%
[Reveal] Spoiler: OA

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All data in a certain school are recorded either on computer or paper [#permalink]

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New post 08 Apr 2017, 19:39
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To solve this question we need to break down the information in the question

All data in a certain school are recorded either on computer or paper. - only 2 possibilities ie the summation of the records on paper and computer. Also only 2 categories of data is available- Accurate or Inaccurate.
Thus we assume the total no of records as 100

Out of all data, inaccurate data, both on computer and paper, make up 12%. - If the total records is 100, then inaccurate records is only 12

Out of inaccurate records on the computer, data on paper make up 80%. - This implies of the total inaccurate records on computer the record on both paper and computer makes up 80%====> 12/80*100=15
Total inaccurate records on computer=15


And, out of the inaccurate data on paper, records on computer account for 48%. - Similarly Total inaccurate records on paper=12/48*100=25

Total inaccurate records=15+25-12=28

Therefore total accurate record either on computer or paper=100-28=72

IMO=C



KUDOS please, if you like the post or if it helps :-)

Kudos [?]: 57 [0], given: 356

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Re: All data in a certain school are recorded either on computer or paper [#permalink]

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New post 16 Apr 2017, 07:36
Tan2017 wrote:
To solve this question we need to break down the information in the question

All data in a certain school are recorded either on computer or paper. - only 2 possibilities ie the summation of the records on paper and computer. Also only 2 categories of data is available- Accurate or Inaccurate.
Thus we assume the total no of records as 100

Out of all data, inaccurate data, both on computer and paper, make up 12%. - If the total records is 100, then inaccurate records is only 12

Out of inaccurate records on the computer, data on paper make up 80%. - This implies of the total inaccurate records on computer the record on both paper and computer makes up 80%====> 12/80*100=15
Total inaccurate records on computer=15


And, out of the inaccurate data on paper, records on computer account for 48%. - Similarly Total inaccurate records on paper=12/48*100=25

Total inaccurate records=15+25-12=28

Therefore total accurate record either on computer or paper=100-28=72

IMO=C



KUDOS please, if you like the post or if it helps :-)


Could you please explain why you are dividing 12/80 and 12/48 to back out the real number of both mistakes? I couldn't think to do that based on the language. Is there a link to using this technique or similar problems?

Thanks in advance!

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All data in a certain school are recorded either on computer or paper [#permalink]

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New post 16 Apr 2017, 08:27
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I have used a combination of unitary method and venn diagrams to arrive at the solution

Based on my initial assumption, the total no of inaccurate data on both computer and paper equals 12

However carefully read this statement "Out of inaccurate records on the computer, data on paper make up 80%" - This implies:-
1) 80% is both computer and paper
2) 20% is only computer

Now we already know inaccurate records both computer and paper equals 12

When there are 80 records on both computer and paper, the total no of records on computer are 100
Therefore If the actual records on both computer and paper are 12, then the actual total no of records on computer = 12*100/80

Hope this helps! I haven't come across any similar questions, will let you know if i do so !

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Re: All data in a certain school are recorded either on computer or paper [#permalink]

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New post 08 May 2017, 07:52
Let total data be 100

Computer:
Let inaccurate data be x
Therefore, inaccurate data on both computer + paper = 0.8x
And, inaccurate data only on computer = 0.2x

Paper:
Let inaccurate data be y
Therefore, inaccurate data on both computer + paper = 0.48y
And, inaccurate data only on paper = 0.52y

Now, according to the question stem:
0.8x = 0.48y = 12
So, x= 15 and y= 25

So, sum total of inaccurate data = 0.2x + 0.52y + 12 = 3 + 13 + 12 = 28
Hence, accurate data = 100 - 28 = 72.
Correct option : C

Kudos [?]: 8 [0], given: 5

Re: All data in a certain school are recorded either on computer or paper   [#permalink] 08 May 2017, 07:52
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