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A sewing store buys fabric X by the at the wholesale price. If each co

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A sewing store buys fabric X by the at the wholesale price. If each co  [#permalink]

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New post 12 Nov 2018, 09:54
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Project DS Butler: Day 7: Data Sufficiency (DS13)


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A sewing store buys fabric X by the bolt at the wholesale price. If each bolt contains 50 meters of fabric X, what is the wholesale price of a bolt of fabric X ?

(1) The store sells fabric X for $6.25 per meter.
(2) The store sells fabric X at 25 percent above the wholesale price.

Best explanation gets Kudos.

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Re: A sewing store buys fabric X by the at the wholesale price. If each co  [#permalink]

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New post Updated on: 12 Nov 2018, 10:14
gmatbusters wrote:

Project DS Butler: Day 7: Data Sufficiency (DS13)


For DS butler Questions Click Here


A sewing store buys fabric X by the at the wholesale price. If each contains 50 meters of fabric X, what is the wholesale price of a of fabric X ?
( l) The store sells fabric X for $6.25 per meter.
(2) The store sells fabric X at 25 percent above the wholesale price.

Best explanation gets Kudos.



gmatbusters the original question is missing a few words... I'm guessing it should say 'package/bundle' after 'X by the ___' and 'If each ___' and 'price of a ___'?

Either way, we need to find the *purchase* price of a meter of X and then calculate the wholesale price of 50 meters.
(1) tells us the *selling* price, not what we need!
Insufficient.
(2) This doesn't give us a number to work with! (but only a percent increase...)
Insufficient

Combined: We now have both a number and a percent and can calculate the original price.
Sufficient.

(C) is our answer
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Originally posted by DavidTutorexamPAL on 12 Nov 2018, 10:11.
Last edited by DavidTutorexamPAL on 12 Nov 2018, 10:14, edited 1 time in total.
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Re: A sewing store buys fabric X by the at the wholesale price. If each co  [#permalink]

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New post 12 Nov 2018, 10:11
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gmatbusters wrote:

Project DS Butler: Day 7: Data Sufficiency (DS13)


For DS butler Questions Click Here


A sewing store buys fabric X by the at the wholesale price. If each contains 50 meters of fabric X, what is the wholesale price of a of fabric X ?
( l) The store sells fabric X for $6.25 per meter.
(2) The store sells fabric X at 25 percent above the wholesale price.

Best explanation gets Kudos.


gmatbusters are you sure you didn't miss any word in highlighted text ? :)
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Re: A sewing store buys fabric X by the at the wholesale price. If each co  [#permalink]

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New post 12 Nov 2018, 10:16
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Re: A sewing store buys fabric X by the at the wholesale price. If each co  [#permalink]

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New post 08 Apr 2019, 07:54
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gmatbusters wrote:

Project DS Butler: Day 7: Data Sufficiency (DS13)


For DS butler Questions Click Here


A sewing store buys fabric X by the bolt at the wholesale price. If each bolt contains 50 meters of fabric X, what is the wholesale price of a bolt of fabric X?

(1) The store sells fabric X for $6.25 per meter.
(2) The store sells fabric X at 25 percent above the wholesale price.


Target question: What is the wholesale price of a bolt of fabric X?

Given: Each bolt contains 50 meters of fabric X

Statement 1: The store sells fabric X for $6.25 per meter.
No information about the relationship between the WHOLESALE price and the RETAIL price
Statement 1 is NOT SUFFICIENT

Statement 2: The store sells fabric X at 25 percent above the wholesale price.
So, the RETAIL price is 25% greater than the WHOLESALE price
However, we are not given any information about what the RETAIL price is.
Statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Let w = the WHOLESALE price of the bolt

Statement 2 tells us that the RETAIL price is 25% greater than the WHOLESALE price
In other words: the RETAIL price = (WHOLESALE price) + (25% of the WHOLESALE price)
So: RETAIL price = w + 0.25w
Simplify: RETAIL price = 1.25w

Statement 1 tells us that RETAIL price is $6.25/meter.
There are 50 meters in a bolt
So, the RETAIL price of the bolt = (50)($6.25) = $312.50

COMBINE the statements to get: $312.50 = 1.25w
Since we COULD solve the above equation for w, we COULD answer the target question with certainty.
So, the combined statements are SUFFICIENT

Answer: C

Cheers,
Brent
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Re: A sewing store buys fabric X by the at the wholesale price. If each co   [#permalink] 08 Apr 2019, 07:54
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