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A store owner decided to raise the price of a particular [#permalink]
10 Mar 2012, 23:04

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D

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Difficulty:

25% (medium)

Question Stats:

76% (01:44) correct
24% (01:06) wrong based on 93 sessions

I could figure this one out in about two seconds if I had a calculator, but I hear that's not allowed on the GMAT, so I need to know how to get this answer quick by hand. Thanks!

A store owner decided to raise the price of a particular item by exactly 10%. Of the following which is NOT the new price?

Re: A store owner decided to raise the price of a particular [#permalink]
10 Mar 2012, 23:39

Expert's post

Stoneface wrote:

I could figure this one out in about two seconds if I had a calculator, but I hear that's not allowed on the GMAT, so I need to know how to get this answer quick by hand. Thanks!

A store owner decided to raise the price of a particular item by exactly 10%. Of the following which is NOT the new price?

A. $1.10 B. $8.80 C. $11.00 D. $57.30 E. $78.10

Old Price * 1.1 = New Price -> Old Price * 11 = New Price *10 --> the new price in cents must be a multiple of 11 (assuming that the new price in cents is an integer);

To check which price is a multiple of 11 and which is not you should use divisibility rule for 11: if you sum every second digit of a number and then subtract the sum of all other digits and the answer is divisible by 11, then the number is divisible by 11. Only answer choice D, 5730 cents, is not divisible by 11: (7+0)-(5+3)=-1, which is not divisible by 11

Re: A store owner decided to raise the price of a particular [#permalink]
25 Nov 2013, 10:33

Stoneface wrote:

I could figure this one out in about two seconds if I had a calculator, but I hear that's not allowed on the GMAT, so I need to know how to get this answer quick by hand. Thanks!

A store owner decided to raise the price of a particular item by exactly 10%. Of the following which is NOT the new price?

A. $1.10 B. $8.80 C. $11.00 D. $57.30 E. $78.10

10% increase = 1.1x where x is the original amount. 1.1 = 11/10. So the answer must be a multiple of 11. Only answer choice that is not a multiple of 11 is D.

Re: A store owner decided to raise the price of a particular [#permalink]
18 Dec 2013, 03:55

jlgdr wrote:

Stoneface wrote:

I could figure this one out in about two seconds if I had a calculator, but I hear that's not allowed on the GMAT, so I need to know how to get this answer quick by hand. Thanks!

A store owner decided to raise the price of a particular item by exactly 10%. Of the following which is NOT the new price?

A. $1.10 B. $8.80 C. $11.00 D. $57.30 E. $78.10

10% increase = 1.1x where x is the original amount. 1.1 = 11/10. So the answer must be a multiple of 11. Only answer choice that is not a multiple of 11 is D.

Hence D

Hope it helps! Cheers J

A 1 * 1.1 = 1.10 $ B 8 * 1.1 = 8.80 $ C 10* 1.1 = 11 $ D - strange Number E 71 * 1.1 = 78.1 $

since D is the only answer, where I couldn't calculate the percents right away, I chose D.

BUT if the store owner had strange prices like 52.09 $ the new price would be 57.30 $. Is this a real GMAT question? Because it says nowhere that the original price has to be integer.