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If \(p\) is a price in whole cents, which of the following could NOT be the result of increasing \(p\) by \(20\%?\)

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If \(p\) is a price in whole cents, which of the following could NOT be the result of increasing \(p\) by \(20\%?\)

by Gmat_mission » Thu Nov 19, 2020 11:41 am

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If \(p\) is a price in whole cents, which of the following could NOT be the result of increasing \(p\) by \(20\%?\)

A. \(\$1.20\)
B. \(\$1.25\)
C. \(\$1.38\)
D. \(\$1.80\)
E. \(\$2.52\)

Answer: B

Source: Princeton Review
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Re: If \(p\) is a price in whole cents, which of the following could NOT be the result of increasing \(p\) by \(20\%?\)

by Scott@TargetTestPrep » Wed Nov 25, 2020 8:24 am
Gmat_mission wrote: ↑
Thu Nov 19, 2020 11:41 am
 If \(p\) is a price in whole cents, which of the following could NOT be the result of increasing \(p\) by \(20\%?\)

A. \(\$1.20\)
B. \(\$1.25\)
C. \(\$1.38\)
D. \(\$1.80\)
E. \(\$2.52\)

Answer: B

Solution:

Notice that $1.25, or 125 cents, is the only odd number of cents of the answer choices, so we will guess that $1.25 couldn’t be the result of increasing p by 20%. In other words, if p is increased by 20% and the result is $1.25, p couldn’t be a whole number of cents. Let’s show that this is indeed the case.

p x 1.2 = 125

p = 104.167

We see that 104.167 is not a whole number.

Answer: B

Scott Woodbury-Stewart
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