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Intern  B
Joined: 18 Nov 2017
Posts: 43
An investor purchased a bond for p dollars on Monday. For a certain nu  [#permalink]

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15 00:00

Difficulty:   95% (hard)

Question Stats: 47% (02:47) correct 53% (03:04) wrong based on 140 sessions

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An investor purchased a bond for p dollars on Monday. For a certain number of days, the value of the bond increased by r percent per day. After this period of constant increase, the bond decreased the next day by q dollars and the investor decided to sell the bond that day for v dollars. When did the investor sell the bond if

$$r = 100*[\sqrt{\frac{(v+q)}{p}} - 1]$$?

A. Two working days later.

B. Three working days later.

C. Four working days later.

D. Five working days later.

E. Six working days later.

Originally posted by 101mba101 on 25 May 2018, 04:03.
Last edited by niks18 on 25 May 2018, 19:37, edited 2 times in total.
Renamed the topic and edited the question.
##### Most Helpful Community Reply
Retired Moderator D
Joined: 25 Feb 2013
Posts: 1192
Location: India
GPA: 3.82
An investor purchased a bond for p dollars on Monday. For a certain nu  [#permalink]

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5
101mba101 wrote:
An investor purchased a bond for p dollars on Monday. For a certain number of days, the value of the bond increased by r percent per day. After this period of constant increase, the bond decreased the next day by q dollars and the investor decided to sell the bond that day for v dollars. When did the investor sell the bond if

$$r = 100*[\sqrt{\frac{(v+q)}{p}} - 1]$$?

A. Two working days later.

B. Three working days later.

C. Four working days later.

D. Five working days later.

E. Six working days later.

$$r = 100*[\sqrt{\frac{(v+q)}{p}} - 1]$$

$$=>\frac{r}{100} =\sqrt{\frac{(v+q)}{p}} - 1$$

$$=>\frac{r}{100} +1=\sqrt{\frac{(v+q)}{p}}$$, Now square both sides to get

$$=>(\frac{r}{100}+1)^2 =\frac{(v+q)}{p}$$

$$=>p*(\frac{r}{100}+1)^2 =v+q$$

$$=>p*(\frac{r}{100}+1)^2-q=v$$

Now as he sells at price $$v$$, hence he sells the bond after $$2$$ days of increase and the third day of decrease

Option B
##### General Discussion
Director  V
Joined: 12 Feb 2015
Posts: 888
Re: An investor purchased a bond for p dollars on Monday. For a certain nu  [#permalink]

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Did you mean $$r = 100*[\sqrt{\frac{(v+q)}{p}} - 1]$$?

101mba101 wrote:
An investor purchased a bond for p dollars on Monday. For a certain number of days, the value of the bond increased by r percent per day. After this period of constant increase, the bond decreased the next day by q dollars and the investor decided to sell the bond that day for v dollars. When did the investor sell the bond if

$$r = 100*\sqrt{\frac{(v+q)}{p}} - 1$$?

A. Two working days later.

B. Three working days later.

C. Four working days later.

D. Five working days later.

E. Six working days later.

_________________
"Please hit +1 Kudos if you like this post" _________________
Manish "Only I can change my life. No one can do it for me"
Retired Moderator D
Joined: 25 Feb 2013
Posts: 1192
Location: India
GPA: 3.82
Re: An investor purchased a bond for p dollars on Monday. For a certain nu  [#permalink]

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CAMANISHPARMAR wrote:
Did you mean $$r = 100*[\sqrt{[fraction](v+q)/p[/fraction]} - 1]$$?

101mba101 wrote:
An investor purchased a bond for p dollars on Monday. For a certain number of days, the value of the bond increased by r percent per day. After this period of constant increase, the bond decreased the next day by q dollars and the investor decided to sell the bond that day for v dollars. When did the investor sell the bond if

$$r = 100*\sqrt{\frac{(v+q)}{p}} - 1$$?

A. Two working days later.

B. Three working days later.

C. Four working days later.

D. Five working days later.

E. Six working days later.

Hi CAMANISHPARMAR

the brackets are not there. bracket before 100 would imply that -1 will have to be multiplied by 100.
Director  V
Joined: 12 Feb 2015
Posts: 888
Re: An investor purchased a bond for p dollars on Monday. For a certain nu  [#permalink]

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1
If the brackets are not there then how did you take the 100 on left hand side in step number two in your solution?

niks18 wrote:
CAMANISHPARMAR wrote:
Did you mean $$r = 100*[\sqrt{[fraction](v+q)/p[/fraction]} - 1]$$?

101mba101 wrote:
An investor purchased a bond for p dollars on Monday. For a certain number of days, the value of the bond increased by r percent per day. After this period of constant increase, the bond decreased the next day by q dollars and the investor decided to sell the bond that day for v dollars. When did the investor sell the bond if

$$r = 100*\sqrt{\frac{(v+q)}{p}} - 1$$?

A. Two working days later.

B. Three working days later.

C. Four working days later.

D. Five working days later.

E. Six working days later.

Hi CAMANISHPARMAR

the brackets are not there. bracket before 100 would imply that -1 will have to be multiplied by 100.

_________________
"Please hit +1 Kudos if you like this post" _________________
Manish "Only I can change my life. No one can do it for me"
Retired Moderator D
Joined: 25 Feb 2013
Posts: 1192
Location: India
GPA: 3.82
Re: An investor purchased a bond for p dollars on Monday. For a certain nu  [#permalink]

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1
CAMANISHPARMAR wrote:
If the brackets are not there then how did you take the 100 on left hand side in step number two in your solution?

niks18 wrote:
CAMANISHPARMAR wrote:
Did you mean $$r = 100*[\sqrt{[fraction](v+q)/p[/fraction]} - 1]$$?

Hi CAMANISHPARMAR

yes you are correct. i thought of something otherwise. I have edited the question and my solution. Thanks for pointing it out.
Manager  B
Joined: 27 Jun 2015
Posts: 59
WE: Information Technology (Computer Software)
Re: An investor purchased a bond for p dollars on Monday. For a certain nu  [#permalink]

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101mba101 wrote:
An investor purchased a bond for p dollars on Monday. For a certain number of days, the value of the bond increased by r percent per day. After this period of constant increase, the bond decreased the next day by q dollars and the investor decided to sell the bond that day for v dollars. When did the investor sell the bond if

$$r = 100*[\sqrt{\frac{(v+q)}{p}} - 1]$$?

A. Two working days later.

B. Three working days later.

C. Four working days later.

D. Five working days later.

E. Six working days later.

Can you please provide the OE?
Intern  B
Joined: 29 May 2019
Posts: 3
Re: An investor purchased a bond for p dollars on Monday. For a certain nu  [#permalink]

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Bunuel Can you please explain here?
Intern  B
Joined: 30 Jul 2019
Posts: 6
Re: An investor purchased a bond for p dollars on Monday. For a certain nu  [#permalink]

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Anyone think taking derivatives for this problem is a good idea?

Posted from my mobile device
Intern  B
Joined: 30 Jul 2019
Posts: 6
Re: An investor purchased a bond for p dollars on Monday. For a certain nu  [#permalink]

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101mba101 wrote:
An investor purchased a bond for p dollars on Monday. For a certain number of days, the value of the bond increased by r percent per day. After this period of constant increase, the bond decreased the next day by q dollars and the investor decided to sell the bond that day for v dollars. When did the investor sell the bond if

$$r = 100*[\sqrt{\frac{(v+q)}{p}} - 1]$$?

A. Two working days later.

B. Three working days later.

C. Four working days later.

D. Five working days later.

E. Six working days later.

Could we instead use derivatives?

Posted from my mobile device Re: An investor purchased a bond for p dollars on Monday. For a certain nu   [#permalink] 04 Aug 2019, 15:32
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