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bkpolymers1617
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A shopkeeper purchased two TV sets A and B at the same price 14 Jun 2017, 08:39
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85% (hard)

Question Stats:

37% (02:15) correct 63% (02:33) wrong based on 38 sessions

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A shopkeeper purchased two TV sets A and B at the same price. If he sold the sets A and B at price P and Q respectively, such that |P-Q| = 20% of P, on which TV set did he make a greater profit?
(1) Set A was sold at no discount, while set B was sold at a discount of 25 percent
(2) The shopkeeper made a profit of 25 percent on set A

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E
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mikemcgarry
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A shopkeeper purchased two TV sets A and B at the same price 14 Jun 2017, 12:09
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A shopkeeper purchased two TV sets A and B at the same price. If he sold the sets A and B at price P and Q respectively, such that |P-Q| = 20% of P, on which TV set did he make a greater profit?
(1) Set A was sold at no discount, while set B was sold at a discount of 25 percent
(2) The shopkeeper made a profit of 25 percent on set A
Dear bkpolymers1617,

I'm happy to respond. :-)

My friend, this is an extremely poorly written question. The prompt is solid and even intriguing.

Statement #2 is quite obviously insufficient by itself: that's a very easy statement.

What is bizarre about the question is ambiguity around the word "discount" in statement #1. Discount from what?? Typically, if something was original offered at one price, and now is offered at p% less, we would call that a discount. Similarly, if the price is at one level, and then an employee or something with a coupon is able to buy the product for p% less than the list price, we would call that a discount. This is a word that is well-defined in certain context, and what is extremely confusing is it is not well-defined here. It's unclear whether the person writing the question had a particular discount in mind or whether the author is intentionally using this ambiguity to produce an answer of (E).

This does NOT have the feel of a GMAT Quant question at all. The GMAT does not use well-defined words in confusing ways to produce ambiguity. GMAT Quant questions are logically clean, and there's something suspect about the use of terminology in this question.

Here's a high quality GMAT DS practice question:
Quadrant from Signs

Does this make sense?
Mike :-)
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A shopkeeper purchased two TV sets A and B at the same price 14 Jun 2017, 13:02
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Hey Mike- thank you so much for the response :). I am actually subscribed to Magoosh and took question banks from Kaplan to supplement my practice sessions. I felt the same when i was attempting this question. I had orignally marked the answer A, I took out both the scenarios as the equation has a mod, then applied a discount on the value of q. I noticed that in both the cases, it fell short of the value of set A. But the answer said E, i had really had no idea and was knocking here to get some clarity. Can you provide some clarity on what is the exact mess here. just want to be sure please of the answer choice. Not really getting why e is the answer.
Also, just needed a piece of advice- i am premium subcriber to Magoosh- any advice on how i can supplement my practice once i am done with Magoosh practice questions and og. I respect the time you took out to respond to this post. Thanks Much
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A shopkeeper purchased two TV sets A and B at the same price 14 Jun 2017, 13:28
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Hey Mike- thank you so much for the response :). I am actually subscribed to Magoosh and took question banks from Kaplan to supplement my practice sessions. I felt the same when i was attempting this question. I had orignally marked the answer A, I took out both the scenarios as the equation has a mod, then applied a discount on the value of q. I noticed that in both the cases, it fell short of the value of set A. But the answer said E, i had really had no idea and was knocking here to get some clarity. Can you provide some clarity on what is the exact mess here. just want to be sure please of the answer choice. Not really getting why e is the answer.
Also, just needed a piece of advice- i am premium subcriber to Magoosh- any advice on how i can supplement my practice once i am done with Magoosh practice questions and og. I respect the time you took out to respond to this post. Thanks Much
Dear bkpolymers1617,

I'm happy to respond. :-)

First, on this question, do not worry about the answer. Do NOT worry about the answer. The answer is: this is an extremely poor question. You are not confused because there something important you don't understand. You are confused because the question was poorly written. There is zero to be gained from studying poorly written questions. Puzzling over poorly written questions leads you deeper into confusion and away from understanding what the GMAT wants. Leave it alone and move on to well-written questions. I'd recommend these book reviews:
Kaplan GMAT Premier 2017 Book Review
Kaplan GMAT 800 Eighth Edition Book Review

As for your own practice---finishing the 1000+ questions in the OG and the 1000+ questions on Magoosh would be quite a challenge. If you do finish all of these, I would recommend, first of all, further official sources. These include:
The GMAT OG Verbal and Quantitative Review Books
GMAT Paper Tests for Practice
Beyond this, I would recommend other sources discussed here:
Best GMAT Books and Resources

Does all this make sense?
Mike :-)
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A shopkeeper purchased two TV sets A and B at the same price 14 Jun 2017, 22:42
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Statement 1 says 'sold' at a discount of 25%.
So, will it be wrong if we infer from statement 1 that discount is applied to Selling Price i.e Q here?
So effective S.P of B, post discount, will be 0.75Q and S.P of A will remain P.
Am I inferring/assuming way too far here?
Please advise.
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A shopkeeper purchased two TV sets A and B at the same price 15 Jun 2017, 10:33
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kkrrsshh
Statement 1 says 'sold' at a discount of 25%.
So, will it be wrong if we infer from statement 1 that discount is applied to Selling Price i.e Q here?
So effective S.P of B, post discount, will be 0.75Q and S.P of A will remain P.
Am I inferring/assuming way too far here?
Please advise.
Dear kkrrsshh

I'm happy to respond. :-)

My friend, with all due respect, I don't think you have read this too carefully. It's not that we are first told about initial prices and then later B is "sold at a discount" from that initial price. Instead, we are told:
. . . he sold the sets A and B at price P and Q respectively . . .
So the sell price of B was Q. That's a done deed. Then, statement #1 tells us:
. . . set B was sold at a discount of 25 percent
In other words, this selling price of Q itself was a 25% discount from something else, some unspecified other thing.

Does all this make sense?
Mike :-)
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A shopkeeper purchased two TV sets A and B at the same price 17 Jun 2017, 00:00
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kkrrsshh
Statement 1 says 'sold' at a discount of 25%.
So, will it be wrong if we infer from statement 1 that discount is applied to Selling Price i.e Q here?
So effective S.P of B, post discount, will be 0.75Q and S.P of A will remain P.
Am I inferring/assuming way too far here?
Please advise.
Dear kkrrsshh

I'm happy to respond. :-)

My friend, with all due respect, I don't think you have read this too carefully. It's not that we are first told about initial prices and then later B is "sold at a discount" from that initial price. Instead, we are told:
. . . he sold the sets A and B at price P and Q respectively . . .
So the sell price of B was Q. That's a done deed. Then, statement #1 tells us:
. . . set B was sold at a discount of 25 percent
In other words, this selling price of Q itself was a 25% discount from something else, some unspecified other thing.

Does all this make sense?
Mike :-)

Oh Yes. I got it now. Thanks mikemcgarry

This Question is Locked Due to Poor Quality
Hi there,
The question you've reached has been archived due to not meeting our community quality standards. No more replies are possible here.
Looking for better-quality questions? Check out the 'Similar Questions' block below for a list of similar but high-quality questions.
Want to join other relevant Problem Solving discussions? Visit our Data Sufficiency (DS) Forum for the most recent and top-quality discussions.
Thank you for understanding, and happy exploring!
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