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# The selling price of an article is equal to the cost of the

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Math Expert
Joined: 02 Sep 2009
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The selling price of an article is equal to the cost of the  [#permalink]

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11 Sep 2012, 04:53
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Difficulty:

25% (medium)

Question Stats:

72% (01:20) correct 28% (01:28) wrong based on 1537 sessions

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The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price?

(1) The markup on the television set is 25 percent of the cost.
(2) The selling price of the television set is $250. Practice Questions Question: 40 Page: 278 Difficulty: 600 _________________ ##### Most Helpful Expert Reply Math Expert Joined: 02 Sep 2009 Posts: 53709 Re: The selling price of an article is equal to the cost of the [#permalink] ### Show Tags 11 Sep 2012, 04:54 2 4 SOLUTION The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price? Given: Price=Cost+Markup. Question: $$\frac{Markup}{Price}=?$$ (1) The markup on the television set is 25 percent of the cost. $$Markup=0.25*Cost$$ --> $$Price=Cost+Markup=Cost+0.25*Cost=1.25*Cost$$ --> $$\frac{Markup}{Price}=\frac{0.25*Cost}{1.25*Cost}=0.2$$. Sufficient. (2) The selling price of the television set is$250. Not sufficient to get the ratio required.

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11 Sep 2012, 08:00
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The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price?

(1) The markup on the television set is 25 percent of the cost.
(2) The selling price of the television set is $250. Markup = M Selling Price = P Cost = C P=C+M (1) M=0.25C C=4M Sub back into equation P=4M+M P=5M We want to find M/P which in this case is M/P = 1/5 or 20% so (1) is suff (2) 250 = M + C We cannot solve, so answer is A _________________ If you find my post helpful, please GIVE ME SOME KUDOS! Senior Manager Joined: 15 Jun 2010 Posts: 295 Schools: IE'14, ISB'14, Kellogg'15 WE 1: 7 Yrs in Automobile (Commercial Vehicle industry) Re: The selling price of an article is equal to the cost of the [#permalink] ### Show Tags 12 Sep 2012, 04:32 Bunuel wrote: The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price? (1) The markup on the television set is 25 percent of the cost. (2) The selling price of the television set is$250.

From Question Stem => SP = CP + M. (M/SP) = ?? %
St 1: Sufficient: M=.25CP, So, SP=CP + .25CP = 1.25CP, Therefore M/SP x 100% = .25/1.25 x 100% = 20%

St 2: Insufficient: SP=$250= CP + M, Two variables with one equation. Hence cannot be solved. Hence Answer is A. _________________ Regards SD ----------------------------- Press Kudos if you like my post. Debrief 610-540-580-710(Long Journey): http://gmatclub.com/forum/from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html Senior Manager Joined: 24 Aug 2009 Posts: 464 Schools: Harvard, Columbia, Stern, Booth, LSB, Re: The selling price of an article is equal to the cost of the [#permalink] ### Show Tags 12 Sep 2012, 13:13 1 The question can be reduced to "What is the ratio of Markup to Selling Price" Let Cost Price = 100P Markup = M Thus Selling price (SP) = 100P +M...........(1) Statement 1 - M=25P ----> & SP =125P ------> Sufficient Statement 2 - SP=250---> No relative amount is given for M----> Thus insufficient Answer A _________________ If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS. Kudos always maximizes GMATCLUB worth -Game Theory If you have any question regarding my post, kindly pm me or else I won't be able to reply Intern Joined: 17 May 2012 Posts: 37 Re: The selling price of an article is equal to the cost of the [#permalink] ### Show Tags 04 Sep 2014, 00:56 SOLUTION The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price? Given: Price=Cost+Markup. Question: \frac{Markup}{Price}=? (1) The markup on the television set is 25 percent of the cost. Markup=0.25*Cost --> Price=Cost+Markup=Cost+0.25*Cost=1.25*Cost --> \frac{Markup}{Price}=\frac{0.25*Cost}{1.25*Cost}=0.2. Sufficient. (2) The selling price of the television set is$250. Not sufficient to get the ratio required.[quote][/quote]

Hi Bunuel,

I understand why statement A is correct, but I don't understand why in this case the answer can't be C. If we use both the statements together, we have Selling Price = 1.25*Cost and the 2nd statement tells us the price.
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05 Sep 2014, 05:56
aj0809 wrote:
SOLUTION

The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price?

Given: Price=Cost+Markup.
Question: \frac{Markup}{Price}=?

(1) The markup on the television set is 25 percent of the cost. Markup=0.25*Cost --> Price=Cost+Markup=Cost+0.25*Cost=1.25*Cost --> \frac{Markup}{Price}=\frac{0.25*Cost}{1.25*Cost}=0.2. Sufficient.

(2) The selling price of the television set is $250. Not sufficient to get the ratio required. Quote: Hi Bunuel, I understand why statement A is correct, but I don't understand why in this case the answer can't be C. If we use both the statements together, we have Selling Price = 1.25*Cost and the 2nd statement tells us the price. If Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked, then the answer is A. The data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether— 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 to answer the question asked. 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 specific to the problem are needed. I suggest you to go through the following post ALL YOU NEED FOR QUANT. Hope this helps. _________________ Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 5356 Location: United States (CA) Re: The selling price of an article is equal to the cost of the [#permalink] ### Show Tags 25 Aug 2016, 16:05 1 Bunuel wrote: The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price? (1) The markup on the television set is 25 percent of the cost. (2) The selling price of the television set is$250.

We are given that the selling price of an article is equal to the cost of the article plus the markup. We define some variables so that we can translate the given information into an expression.

c = cost of the article

m = the markup

Thus, we know that the selling price of the article (with the markup) is c + m.

We need to determine the percent of the selling price represented by the markup. Translating the question into an expression gives us:

m/(c + m) x 100 = ?

Statement One Alone:

The markup on the television set is 25 percent of the cost.

From statement one we can create the following equation:

m = 0.25c

We now substitute 0.25c for m into our original expression. So we have:

m/(c + m) x 100 = ?

0.25c/(c + 0.25c) x 100 = ?

0.25c/(1.25c) x 100 = ?

0.25/1.25 x 100 = 20%

Statement one alone is sufficient to answer the question. We can eliminate answer choices B, C, and E.

(Note: We were able to determine m/(c + m) x 100 because we were able to get variable m in terms of variable c and thus, when we plugged 0.25c in for m into our expression, all the variables canceled, allowing us to determine the percentage.)

Statement Two Alone:

The selling price of the television set is $250. With the information in statement two we can create the following equation: c + m = 250 With the equation c + m = 250, we can simplify m/(c + m) x 100 as m/250 x 100. However, since we don’t know the value of m, we can’t determine the value of m/(c + m) x 100. Thus, statement two alone is not sufficient to answer the question. The answer is A. _________________ # Scott Woodbury-Stewart Founder and CEO Scott@TargetTestPrep.com 122 Reviews 5-star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews CEO Joined: 12 Sep 2015 Posts: 3511 Location: Canada Re: The selling price of an article is equal to the cost of the [#permalink] ### Show Tags 06 Sep 2018, 06:12 Top Contributor Bunuel wrote: The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price? (1) The markup on the television set is 25 percent of the cost. (2) The selling price of the television set is$250.

Practice Questions
Question: 40
Page: 278
Difficulty: 600

Let C = cost of article

Target question: The markup on a certain television set is what percent of the selling price?

Statement 1: The markup on the television set is 25 percent of the cost.
If C = cost of article, markup = 0.25C
Selling price = cost + markup
= C + 0.25C
= 1.25C

So, the markup = 0.25C and the selling price = 1.25C
0.25C/1.25C = 0.25/1.25 = 1/5 = 20%
So, the markup on the TV is 20% of the selling price
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: The selling price of the television set is $250 We have no information about the markup. So, consider these two possible cases: Case a: The cost is$200 and the markup is $50. Here, the markup is$50 and the selling price is $250. So, the markup on the TV is 20% of the selling price Case b: The cost is$150 and the markup is $100. Here, the markup is$100 and the selling price is $250. So, the markup on the TV is 40% of the selling price Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT Answer: A Cheers, Brent _________________ Test confidently with gmatprepnow.com GMATH Teacher Status: GMATH founder Joined: 12 Oct 2010 Posts: 902 Re: The selling price of an article is equal to the cost of the [#permalink] ### Show Tags 06 Sep 2018, 06:50 Bunuel wrote: The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price? (1) The markup on the television set is 25 percent of the cost. (2) The selling price of the television set is$250.

$${\text{sell}} = {\text{cost}} + {\text{mark}}\,\,\,\,\left( * \right)$$

$$\left[ {{\text{mark}} = \frac{x}{{100}}\left( {{\text{sell}}} \right)\,\,\,\, \Rightarrow } \right]\,\,\,\,\,\,\,?\,\, = \,\,100 \cdot \frac{{{\text{mark}}}}{{{\text{sell}}}}\,\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\,\boxed{?\,\, = \frac{{{\text{mark}}}}{{{\text{sell}}}}}\,\,$$

$$\left( 1 \right)\,\,\,\frac{1}{4} = \frac{{{\text{mark}}}}{{{\text{cost}}}}\,\,\mathop = \limits^{\left( * \right)} \,\,\frac{{{\text{mark}}}}{{{\text{sell}} - {\text{mark}}}}\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\frac{{{\text{sell}} - {\text{mark}}}}{{{\text{mark}}}} = 4\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\frac{{{\text{sell}}}}{{{\text{mark}}}} - 1 = 4\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,?\,\, = \,\,{\left( {\frac{{{\text{sell}}}}{{{\text{mark}}}}} \right)^{ - 1}}\,\,\, = \frac{1}{5}$$

$$\left( 2 \right)\,\,\,{\text{sell}} = 250\,\,\,\left\{ \begin{gathered} \,{\text{If}}\,{\text{cost}} = 200\,\,\,\mathop \Rightarrow \limits^{\left( * \right)} \,\,\,\,{\text{mark}} = 50\,\,\,\,\, \Rightarrow \,\,\,\,\,? = \frac{{50}}{{250}} = \frac{1}{5}\,\, \hfill \\ \,{\text{If}}\,{\text{cost}} = 150\,\,\,\mathop \Rightarrow \limits^{\left( * \right)} \,\,\,\,{\text{mark}} = 100\,\,\,\,\, \Rightarrow \,\,\,\,\,? = \frac{{100}}{{250}} \ne \frac{1}{5}\,\, \hfill \\ \end{gathered} \right.$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
fskilnik.
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Fabio Skilnik :: GMATH method creator (Math for the GMAT)
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Re: The selling price of an article is equal to the cost of the   [#permalink] 06 Sep 2018, 06:50
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