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# In 2001, the price per share of Stock X increased by k percent.

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BSchool Forum Moderator
Joined: 29 Jan 2015
Posts: 1466
Location: India
WE: General Management (Non-Profit and Government)
In 2001, the price per share of Stock X increased by k percent.  [#permalink]

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27 Feb 2019, 11:13
1
1
00:00

Difficulty:

35% (medium)

Question Stats:

76% (02:30) correct 24% (01:44) wrong based on 33 sessions

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In 2001, the price per share of Stock X increased by k percent. In 2002, the price per share the stock decreased by m percent. The closing price per share of Stock X at the end of 2002 increased (or decreased) by what percent from the opening price per share at the beginning of 2001?

(1) k-m=5

(2) k*m=150
Manager
Joined: 12 Apr 2011
Posts: 149
Location: United Arab Emirates
Concentration: Strategy, Marketing
Schools: CBS '21, Yale '21, INSEAD
GMAT 1: 670 Q50 V31
GMAT 2: 720 Q50 V37
WE: Marketing (Telecommunications)
Re: In 2001, the price per share of Stock X increased by k percent.  [#permalink]

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01 Mar 2019, 03:41
rohan2345 wrote:
In 2001, the price per share of Stock X increased by k percent. In 2002, the price per share the stock decreased by m percent. The closing price per share of Stock X at the end of 2002 increased (or decreased) by what percent from the opening price per share at the beginning of 2001?

(1) k-m=5

(2) k*m=150

Price at the end of 2001 = X*(1+(k/100))
Price at the end of 2002 = Price at the end of 2001 * (1-(m/100))
= X*(1+(k/100))*(1-(m/100))
= X*(1+(k/100) -(m/100) -((k*m)/(100*100))
= X*(1+(k-m/100) -((k*m)/(100*100))

Hence to know the total change we need values of both (k-m) & (k*m)
Both the statements are required to get to the answer.

Hence C is the correct answer.
Re: In 2001, the price per share of Stock X increased by k percent.   [#permalink] 01 Mar 2019, 03:41
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