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A seller bought some pens at a rate of 5 for Tk. 100

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Intern
Joined: 08 Oct 2016
Posts: 12
A seller bought some pens at a rate of 5 for Tk. 100  [#permalink]

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10 Dec 2016, 12:01
00:00

Difficulty:

85% (hard)

Question Stats:

24% (01:19) correct 76% (01:25) wrong based on 21 sessions

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A seller bought some pens at a rate of 5 for Tk. 100. hey were separated into two stacks, one of which was sold at a rate of 3 for Tk. 100 and the other a rate of 6 for Tk. 100. What was the ratio of the number of pens in the two stacks if the seller made no overall profit or loss

a. 1:4
b. 1:5
c. 2:3
d. 1:2
e. None of the above

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Math Expert
Joined: 02 Aug 2009
Posts: 7212
Re: A seller bought some pens at a rate of 5 for Tk. 100  [#permalink]

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10 Dec 2016, 16:09
voccubd wrote:
A seller bought some pens at a rate of 5 for Tk. 100. hey were separated into two stacks, one of which was sold at a rate of 3 for Tk. 100 and the other a rate of 6 for Tk. 100. What was the ratio of the number of pens in the two stacks if the seller made no overall profit or loss

a. 1:4
b. 1:5
c. 2:3
d. 1:2
e. None of the above

Use weighted average method..
So avg price is 100/5=20..
The two prices are 100/3 and 100/6..
So by Weighted Average method..
Number of 3 for 100/ number of 6 for 100= (20-100/6)/(100/3-20)=(20/6)/(40/3)= 20*3/40*6=1/4..
Ans A
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Intern
Joined: 08 Oct 2016
Posts: 12
Re: A seller bought some pens at a rate of 5 for Tk. 100  [#permalink]

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11 Dec 2016, 11:15
1
chetan2u wrote:
voccubd wrote:
A seller bought some pens at a rate of 5 for Tk. 100. hey were separated into two stacks, one of which was sold at a rate of 3 for Tk. 100 and the other a rate of 6 for Tk. 100. What was the ratio of the number of pens in the two stacks if the seller made no overall profit or loss

a. 1:4
b. 1:5
c. 2:3
d. 1:2
e. None of the above

Use weighted average method..
So avg price is 100/5=20..
The two prices are 100/3 and 100/6..
So by Weighted Average method..
Number of 3 for 100/ number of 6 for 100= (20-100/6)/(100/3-20)=(20/6)/(40/3)= 20*3/40*6=1/4..
Ans A

Can you please elaborate on weighted average method or suggest any reference? Thanks in advance.
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Joined: 13 Dec 2013
Posts: 154
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Concentration: General Management, International Business
GMAT 1: 710 Q46 V41
GMAT 2: 720 Q48 V40
GPA: 4
WE: Consulting (Consulting)
Re: A seller bought some pens at a rate of 5 for Tk. 100  [#permalink]

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19 Dec 2016, 13:12
Picking a starting number of pens that is a multiple of 3, 5 and 6: 30.

30 = 3x + 6y

x=2
y=4
Ratio = 1:2
Intern
Joined: 17 Aug 2016
Posts: 48
Re: A seller bought some pens at a rate of 5 for Tk. 100  [#permalink]

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21 Dec 2016, 10:12
1
I can't understand what the problem is asking for. What does "rate of 5 for Tk. 100" means? I don't understand...
Non-Human User
Joined: 09 Sep 2013
Posts: 9457
Re: A seller bought some pens at a rate of 5 for Tk. 100  [#permalink]

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03 Jan 2018, 08:49
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Re: A seller bought some pens at a rate of 5 for Tk. 100 &nbs [#permalink] 03 Jan 2018, 08:49
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