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A pack of 12 pens costs $ 72. If each pen is purchased indiv

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Arun1992
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A pack of 12 pens costs $ 72. If each pen is purchased indiv [#permalink] New post   Updated on: 11 Nov 2018, 12:24
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A pack of 12 pens costs $ 72. If each pen is purchased individually it costs $ 7.

Quantity A
Quantity B
The percentage loss if 12 pens are purchased individually rather than purchasing the entire pack of 12
16.67%


Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given


Show: ::
I got 14.2% (i.e(12/84)*100) as the percentage loss but the ans is ((12/72)*100).Should we not calculate Percentage loss for cost price 84?
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C

Originally posted by Arun1992 on 11 Nov 2018, 12:12.
Last edited by Carcass on 11 Nov 2018, 12:24, edited 2 times in total.
Edited by Carcass
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Re: A pack of 12 pens costs $ 72. If each pen is purchased indiv [#permalink] New post   11 Nov 2018, 12:27
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Expert Reply
Hi,

please follow the way how to format a QCQ in few steps. Look at here https://gre.myprepclub.com/forum/qq-how-to ... -2357.html

Thank you.

back to the question

A single pen in a pack of 12 for $ 72 costs $6. Now, if the pens are sold individually they cost $7 which means a grand total of $84

Using the % change \(\frac{84-72}{72} = 16.67\)%

The answer is C.

Hope this helps
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Arun1992
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Re: A pack of 12 pens costs $ 72. If each pen is purchased indiv [#permalink] New post   11 Nov 2018, 12:44
Carcass wrote:
Hi,

please follow the way how to format a QCQ in few steps.

Thank you.

back to the question

A single pen in a pack of 12 for $ 72 costs $6. Now, if the pens are sold individually they cost $7 which means a grand total of $84

Using the % change \(\frac{84-72}{72} = 16.67\)%

The answer is C.

Hope this helps


Hi Carcass,

Thanks for the reply.

I understood what u have done.U have calculated the percent change. In the question they are asking for percentage loss right ? . My understanding of the question is , a person has bought 12 pens at cost 84 and he is selling those pens at 72. Isnt it right ?
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Re: A pack of 12 pens costs $ 72. If each pen is purchased indiv [#permalink] New post   11 Nov 2018, 13:12
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Your goal is to reach the correct answer using any tool you do have in your arsenal. it does not matter if the percent change is stated or not.

use a flexible approach. you will never go wrong :wink:
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Re: A pack of 12 pens costs $ 72. If each pen is purchased indiv [#permalink] New post   12 Nov 2018, 04:22
Arun1992 wrote:
A pack of 12 pens costs $ 72. If each pen is purchased individually it costs $ 7.

Quantity A
Quantity B
The percentage loss if 12 pens are purchased individually rather than purchasing the entire pack of 12
16.67%


Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given


Show: ::
I got 14.2% (i.e(12/84)*100) as the percentage loss but the ans is ((12/72)*100).Should we not calculate Percentage loss for cost price 84?



If the ans is c the option for A should mention that the percentage be rounded off to 2 decimal place else option B would be correct. Therefore when practicing use material from reliable source
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chetan2u
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Re: A pack of 12 pens costs $ 72. If each pen is purchased indiv [#permalink] New post   12 Nov 2018, 04:46
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Arun1992 wrote:
A pack of 12 pens costs $ 72. If each pen is purchased individually it costs $ 7.

Quantity A
Quantity B
The percentage loss if 12 pens are purchased individually rather than purchasing the entire pack of 12
16.67%


Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given


Show: ::
I got 14.2% (i.e(12/84)*100) as the percentage loss but the ans is ((12/72)*100).Should we not calculate Percentage loss for cost price 84?



You had a doubt on what should be the base in calculating the %..

Now, we know that the Loss and profit both are on cost price but here both are COST prices..
But we are looking for loss%, so initial amount of 72$ for 12 will become earlier purchase...
so ans is 100*(7-6)/6 = 100/6=16.67%

But as mentioned above it should be clear that the % is being rounded of to HUNDREDTH place and it does leave some ambiguity on what to take base

What is the source?
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A pack of 12 pens costs $ 72. If each pen is purchased indiv [#permalink] New post   28 Jan 2022, 19:49
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I calculated that answer to be B.

Percent Loss = Percent Decrease = \(\frac{Difference}{Larger Number}\)*100


It should be \(\frac{84-72}{84}*100 = 14.29\)%

14.29% < 16.67%

Answer B
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Re: A pack of 12 pens costs $ 72. If each pen is purchased indiv [#permalink] New post   24 Apr 2024, 23:46
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