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# If p is a price in whole cents, which of the following could NOT be th

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If p is a price in whole cents, which of the following could NOT be th [#permalink]
Bunuel wrote:
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

The final price is equal to
p + 0,20 p = 1,2 p = 12 * 10^-1 * p = 3 * 4 * 10 ^-1 * p .
This means the number has to be divisible by 3 and 4. Testing if the answer is divisible by 3 we can find quicker the right option.
Option B (1,25 = 125 * 10 ^-1) is not divisible by 3.
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Re: If p is a price in whole cents, which of the following could NOT be th [#permalink]
Bunuel wrote:
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

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.

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Re: If p is a price in whole cents, which of the following could NOT be th [#permalink]
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Re: If p is a price in whole cents, which of the following could NOT be th [#permalink]
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