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# If the price of a computer were reduced by 16 percent, which of the fo

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Math Expert
Joined: 02 Sep 2009
Posts: 54543
If the price of a computer were reduced by 16 percent, which of the fo  [#permalink]

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27 Apr 2016, 23:38
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85% (hard)

Question Stats:

51% (02:19) correct 49% (02:22) wrong based on 108 sessions

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If the price of a computer were reduced by 16 percent, which of the following could not be the final price of the computer? (Assume initial price to be integer in cents)

A. \$844.10
B. \$896.70
C. \$1,056.30
D. \$1,136.10
E. \$1,264.20

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If the price of a computer were reduced by 16 percent, which of the fo  [#permalink]

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28 Apr 2016, 00:06
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Bunuel wrote:
If the price of a computer were reduced by 16 percent, which of the following could not be the final price of the computer? (Assume initial price to be integer in cents)

A. \$844.10
B. \$896.70
C. \$1,056.30
D. \$1,136.10
E. \$1,264.20

I go with E. Basically i checked for the divisibility since 84 = 4*3*7
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Re: If the price of a computer were reduced by 16 percent, which of the fo  [#permalink]

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28 Apr 2016, 00:27
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Balajikarthick1990 wrote:
Bunuel wrote:
If the price of a computer were reduced by 16 percent, which of the following could not be the final price of the computer? (Assume initial price to be integer in cents)

A. \$844.10
B. \$896.70
C. \$1,056.30
D. \$1,136.10
E. \$1,264.20

I go with E. Basically i checked for the divisibility since 84 = 4*3*7

Hi Balaji,

Your method is correct but application is NOT..
since the final price has to be a multiple of 84 or 4*3*7, easiest is to check for div by 3..

E is correct as the total is 1+2+6+4+2 = 15, div by 3..
ans will be A 844.10..SUM = 8+4+4+1 = 17, NOT div by 3..
ans A
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Re: If the price of a computer were reduced by 16 percent, which of the fo  [#permalink]

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10 May 2016, 11:46
1
Bunuel wrote:
If the price of a computer were reduced by 16 percent, which of the following could not be the final price of the computer? (Assume initial price to be integer in cents)

A. \$844.10
B. \$896.70
C. \$1,056.30
D. \$1,136.10
E. \$1,264.20

Let X be the initial price of computer without discount
then price (final) after discount should be=X(1-16/100)------->X(21/25)=A(say)
means X=A*(25/21).....
so initial price to be integer(As per stem) final price must be multiple of 21(3 or 7)
if we check options all were divisible by 3 except option (A)..which is Ans.
Ans A
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Re: If the price of a computer were reduced by 16 percent, which of the fo  [#permalink]

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10 May 2016, 12:13
1
1
Bunuel wrote:
If the price of a computer were reduced by 16 percent, which of the following could not be the final price of the computer? (Assume initial price to be integer in cents)

A. \$844.10
B. \$896.70
C. \$1,056.30
D. \$1,136.10
E. \$1,264.20

Price is reduced by 16% i.e the new price is 84% of the old price. Hence the new price is multiple of 2X2X3X7
Check the divisibility by 3 as this is the easiest to do. It will give 'A' as the right choice.
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Re: If the price of a computer were reduced by 16 percent, which of the fo  [#permalink]

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11 Aug 2017, 03:30
Bunuel wrote:
If the price of a computer were reduced by 16 percent, which of the following could not be the final price of the computer? (Assume initial price to be integer in cents)

A. \$844.10
B. \$896.70
C. \$1,056.30
D. \$1,136.10
E. \$1,264.20

Let price of the computer P\$ = 100*P cents.
If the price were reduced by 16 % . The final price will be 84P cents.

So, the options *100 must be a multiple of 84

Now 84 = 2*2*3*7

All the options are divisible by 2
Lets check divisibility by 3
A. 8+4+4+1+0 = 17 not divisible by 3
B. 8+9+6+7+0 = 30 which is divisible by 3
C. 1+0+5+6+3+0 = 15 which is divisible by 3
D. 1+1+3+6+1+0 = 12 which is divisible by 3
E. 1+2+6+4+2+0 = 15 which is divisible by 3.

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Re: If the price of a computer were reduced by 16 percent, which of the fo   [#permalink] 11 Aug 2017, 03:30
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