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# The value of a share of stock P and the value of a share of stock Q

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Math Expert
Joined: 02 Sep 2009
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The value of a share of stock P and the value of a share of stock Q [#permalink]

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31 Jan 2018, 23:38
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The value of a share of stock P and the value of a share of stock Q each increased by 16%. If the value of a share of stock P increased by 16 cents and the value of a share of stock Q increased by $1.68, what is the difference between the value of stock Q and the value of stock P before the increases? (A)$8.00

(B) $9.50 (C)$10.00

(D) $10.50 (E)$11.02
[Reveal] Spoiler: OA

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The value of a share of stock P and the value of a share of stock Q [#permalink]

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01 Feb 2018, 00:46
Since we have been asked to find the difference in the values of the stocks,
it is enough to calculate the difference between the increase in the stock.
This difference is $1.52($1.68 - $0.12) If$1.52 is 16%, we have to calculate the value of 100%.

Therefore, the difference between the value before the increases must be $$\frac{1.52*100}{16} = 0.19*50$$ = $9.50(Option B) _________________ Stay hungry, Stay foolish 2017-2018 MBA Deadlines Class of 2020: Rotman Thread | Schulich Thread Class of 2019: Sauder Thread Intern Joined: 27 Aug 2016 Posts: 8 The value of a share of stock P and the value of a share of stock Q [#permalink] ### Show Tags 01 Feb 2018, 01:08 Answer B. Let value of Stock P be p. According to question stem, p*.16 =$0.16
Therefore p=$1 Let value of Stock Q be q. According to question stem, q*.16=$1.68
Therefore q = $10.5 Difference between p & q =$9.5

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Joined: 09 Mar 2016
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Re: The value of a share of stock P and the value of a share of stock Q [#permalink]

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01 Feb 2018, 10:27
Bunuel wrote:
The value of a share of stock P and the value of a share of stock Q each increased by 16%. If the value of a share of stock P increased by 16 cents and the value of a share of stock Q increased by $1.68, what is the difference between the value of stock Q and the value of stock P before the increases? (A)$8.00

(B) $9.50 (C)$10.00

(D) $10.50 (E)$11.02

This is a fantacstic question, because i cant believe i answred it correctly lol

both P and Q increased by 16%

p = 1.16 --> p increased by 16 cents hence initial value ---> x*0.16 = 0.16 P= 1
Q= 1.16 ---> q increased by 1.68 cents hence initial value ---> x.016 =1.68 Q = 10.5

10.5 - 1 = 9.5 YAY !

p.s. by the way when is it best time to buy stocks and which stocks ?
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Re: The value of a share of stock P and the value of a share of stock Q [#permalink]

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02 Feb 2018, 11:19
Bunuel wrote:
The value of a share of stock P and the value of a share of stock Q each increased by 16%. If the value of a share of stock P increased by 16 cents and the value of a share of stock Q increased by $1.68, what is the difference between the value of stock Q and the value of stock P before the increases? (A)$8.00

(B) $9.50 (C)$10.00

(D) $10.50 (E)$11.02

We let P = the value of stock P before the increase and Q = the value of stock Q before the increase. We can create the following equations:

1.16P = P + 0.16

0.16P = 0.16

P = 1

and

1.16Q = Q + 1.68

0.16Q = 1.68

10.5 = Q

The difference between the original prices is 10.5 - 1 = \$9.50.

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Re: The value of a share of stock P and the value of a share of stock Q   [#permalink] 02 Feb 2018, 11:19
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