Dear Gurus,
Please help me to understand the question and especially answer .This is from Veritas Prep.
Will raise my doubt underneath where explanation is given.
Question:Last Friday, a certain shop sold 3/4 of the sweaters in its inventory. Each sweater
sold for $20. What was the total revenue last Friday from the sale of these
sweaters?
(1) When the shop opened last Friday, there were 160 sweaters in its inventory.
(2) All but 40 of the sweaters in the shop's inventory were sold last Friday.
(A) Statement (1) ALONE is sufficient, but statement (2) alone is not
sufficient to answer the question asked
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not
sufficient to answer the question asked
(C) BOTH statements (1) and (2) TOGETHER are sufficient to answer the
question asked, but NEITHER statement ALONE is sufficient
(D) EACH statement ALONE is sufficient to answer the question asked
(E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the
question asked, and additional data are needed
OA D
---Explanation:
If we know that each sweater costs 20 USD ,we just need to know how many sweaters were sold to find the revenue(Revenue=cost/unit X no of units sold).
Sentence 1:tells us the no we sold 3/4 of 160=120,meaning we sold 120 sweaters and is thus sufficient.
2)will tell us that 1/4 we didn't sell equals 40,which we subtract from 160 to get 120.So they are both sufficient.
I have a issue over here.When we are analyzing the statements in DS we have to ideally evaluate individual!Right?
Then why here its being considered that for statement 2 we actually subtract from 160.How do we get that information from statement 2 alne.The total number is being in statement 1 only.
IMO it should be A.
Please give your comments on this.
Regards,
Dhiren
Skeptical about OA .DS question from Veritas Prep
This topic has expert replies
-
- Junior | Next Rank: 30 Posts
- Posts: 26
- Joined: Thu Dec 04, 2008 9:19 pm
- Location: Bangalore
- Thanked: 1 times
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
The selling price of each sweater -- $20 -- is known.dhiren8182 wrote: Last Friday, a certain shop sold 3/4 of the sweaters in its inventory. Each sweater
sold for $20. What was the total revenue last Friday from the sale of these
sweaters?
(1) When the shop opened last Friday, there were 160 sweaters in its inventory.
(2) All but 40 of the sweaters in the shop's inventory were sold last Friday.
To calculate the total revenue, we need to know how many sweaters were sold.
Question stem, rephrased:
How many sweaters were sold last Friday?
Statement 1:
Since the store sold 3/4 of the 160 sweaters, the number of sweaters sold = (3/4)(160) = 120.
SUFFICIENT.
Statement 2:
Since 3/4 of the sweaters were sold, the 40 sweaters not sold represent 1/4 of the total number of sweaters:
40 = (1/4)x
x = 160.
Since the store sold 3/4 of the 160 sweaters, the number of sweaters sold = (3/4)(160) = 120.
SUFFICIENT.
The correct answer is D.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
-
- GMAT Instructor
- Posts: 2630
- Joined: Wed Sep 12, 2012 3:32 pm
- Location: East Bay all the way
- Thanked: 625 times
- Followed by:119 members
- GMAT Score:780
The OA is right: since we know that (3/4) of the sweaters were sold, we know that that (1/4) of the sweaters were NOT sold. Using S2, we know that (1/4) of the sweaters = 40, so the total number of sweaters = 160.
Another neat observation to make here: since the two statements are identical -- they both give us the total number of sweaters -- we know that the answer MUST be D or E. If you can catch this on the test you'll have a 50% chance of getting the question right, so it's worth remembering.
Another neat observation to make here: since the two statements are identical -- they both give us the total number of sweaters -- we know that the answer MUST be D or E. If you can catch this on the test you'll have a 50% chance of getting the question right, so it's worth remembering.
GMAT/MBA Expert
- ceilidh.erickson
- GMAT Instructor
- Posts: 2095
- Joined: Tue Dec 04, 2012 3:22 pm
- Thanked: 1443 times
- Followed by:247 members
As the two other experts have pointed out, knowing that 40 didn't sell means that we can infer that 40 is 1/4 of the total, i.e. 160. The explanation given is certainly poorly worded though. The 160 was inferable from statement 2, but it was not already know. The explanation should have pointed this out.
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
EdM in Mind, Brain, and Education
Harvard Graduate School of Education