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

Question

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

chetan2u · Accepted Answer

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

Balajikarthick1990 · Answer

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

rohit8865 · Answer

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

Divyadisha · Answer

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.

shashankism · Answer

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.

So Correct Answer A

dtalbot · Answer

Hi there,

Do divisibility rules apply to decimals? I was under the impression that they did not apply, but I think I am wrong now on this.

chetan2u · Answer

When you talk about factors and multiples, it is always integers. 
But if I say 1.34567*3, then whatever the answer be in decimals, it should be divisible by 3. Again don’t get into the literal meaning of factors and multiples as this is to ease calculations.

GMAT0010 · Answer

Hi,
Let the price of the computer be some C.
Now:
the new price is 0.84C.
So we write: 0.84 = 21/25
That means the final price needs to be a multiple of 21.
Only A is not a multiple of 21.
Hope this helps

agupta28 · Answer

Since the last digit is 4 and the price would be 0.84*x so shouldn't the last digit be among 0,4,6,8?

bumpbot · Answer

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

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