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Mark bought a set of 6 flower pots of different sizes at a total cost

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Mark bought a set of 6 flower pots of different sizes at a total cost  [#permalink]

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New post 02 Jan 2012, 06:44
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Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25 each pot cost $0.25 more than the one below it in size,what was the cost in dollars of largest pot?

1. $1.75
2. $ 1.85
3. $2.00
4. $2.15
5. $ 2.30

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Re: Mark bought a set of 6 flower pots of different sizes at a total cost  [#permalink]

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New post 02 Jan 2012, 07:16
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kotela wrote:
Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25 each pot cost $0.25 more than the one below it in size,what was the cost in dollars of largest pot?

1. $1.75
2. $ 1.85
3 $2.00
4. $2.15
5. $ 2.30

I got A, but it is wrong, please help


let cost of smallest pot be x, then subsequent costs will be x+ 0.25, x+0.5, x+0.75, x+1.00, x+ 1.25.

So total cost is 6x + 3.75 (adding all the above costs) = 8.25 ==> on solving x= 0.75

Cost of largest pot = x+ 1.25 = 0.75+1.25 = $2.00
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Re: Mark bought a set of 6 flower pots of different sizes at a total cost  [#permalink]

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New post 02 Jan 2012, 11:06
or let x be the largest pot. 2nd largest = x-.25 and so on.
i e. 6x-3.75=8.25
x=2
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Re: Mark bought a set of 6 flower pots of different sizes at a total cost  [#permalink]

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New post 03 Jan 2012, 03:52
kotela wrote:
Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25 each pot cost $0.25 more than the one below it in size,what was the cost in dollars of largest pot?

1. $1.75
2. $ 1.85
3 $2.00
4. $2.15
5. $ 2.30

I got A, but it is wrong, please help


Just to give you an alternative method, try back solving if it suits you.

I looked at the options and picked $2.00 (since it is right in the middle so even if it is not my answer, I would have eliminated 3 options after I am done with it. (I will explain you what I mean at the end.)

If largest pot cost $2, fifth largest cost 1.75, fourth largest cost 1.5 and third largest cost 1.25
The average cost of all 6 pots will be right in the middle of 1.25 and 1.5 which is 1.375 (All of this can be done in your head.)
Now all we need to do on paper is figure out 1.375 * 6 which does come out to be 8.25 (or if you like innovative ways of calculating, think that 1.25*6 is 7.5 and 1.5*6 is 9.0 so 1.375*6 must be right in the middle i.e. 8.25). Hence the largest pot must have cost $2.00
This method is very fast if you are quick in your calculations.

Here, fortunately, the first option we picked gave us the answer. It may not always happen. Say, if instead of 8.25, we get 8, we know the largest pot must have cost more so possible answers are 2.15 and 2.30. Pick either one of them and check.
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Re: Mark bought a set of 6 flower pots of different sizes at a total cost  [#permalink]

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New post 09 Jan 2012, 14:54
Here's my quick solution using multiples of 0.25
Let smallest cost = x, next = x + 0.25, next = x + 2(0.25)....

So, we get 6x + 15(0.25) = 8.25 -> 6x + 3.75 = 8.25 -> x = 0.75

So, largest = x + 5(0.25) = 0.75 + 1.25 = 2.00
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Re: Mark bought a set of 6 flower pots of different sizes at a total cost  [#permalink]

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New post 09 Jan 2012, 21:24
kotela wrote:
Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25 each pot cost $0.25 more than the one below it in size,what was the cost in dollars of largest pot?

1. $1.75
2. $ 1.85
3 $2.00
4. $2.15
5. $ 2.30

I got A, but it is wrong, please help


Let us consider the value of the smallest pot as x, the next one as x+0.25 and so on

so 6x+3.75 = 8.25

now on solving we get x=0.75, thus the value of the largestpot is x+1.25 = 0.75+1.25 =2.00

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
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Re: Mark bought a set of 6 flower pots of different sizes at a total cost  [#permalink]

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New post 04 Jul 2018, 23:05
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