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1 00:00

Difficulty:   15% (low)

Question Stats: 88% (02:25) correct 12% (02:43) wrong based on 33 sessions

HideShow timer Statistics How many nails did Rudy buy if he purchased them at a price of $0.25 per four nails, sold them at$0.22 per three nails, and made a profit of $2.60? A. 300 B. 240 C. 180 D. 160 E. 120 Originally posted by Nums99 on 12 Jan 2019, 01:42. Last edited by Bunuel on 12 Jan 2019, 03:25, edited 1 time in total. Renamed the topic, edited the question, moved to PS and added the OA. Senior Manager   D Joined: 15 Jan 2018 Posts: 371 Concentration: General Management, Finance GMAT 1: 720 Q50 V37 Re: How many nails did Rudy buy if he purchased them at a price of$0.25  [#permalink]

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1
Hi there,

Here's the solution.

Let the number of nails Rudy purchased be x.

Rudy purchased nails at a price of $0.25 per four nails. So, Cost Price of 4 nails =$0.25
Cost Price of 1 nail = = $0.25/4 Cost price of x nails = ($0.25/4)x

Also given that Rudy sold nails at $0.22 per three nails. So, Selling Price of 3 nails =$0.22
Selling Price of 1 nail = = $0.22/3 Selling price of x nails = ($0.22/3)x

Also, Rudy made a profit of $2.60. Profit = Selling Price - Cost Price$2.60 = ($0.22/3)x - ($0.25/4)x = x(0.88 - 0.75)/12
$2.60 = x(0.13)/12 x = 240 Hence, the the number of nails Rudy purchased is 240. Therefore, the Correct Answer is Option B. 240 _________________ New to GMAT Club or overwhelmed with so many resources? Follow the GMAT Club Study Plan! Not happy with your GMAT score? Retaking GMAT Strategies! Game of Timers - Join the Competition to Win Prizes Senior Manager   D Status: Manager Joined: 27 Oct 2018 Posts: 365 Location: Egypt Concentration: Strategy, International Business GPA: 3.67 WE: Pharmaceuticals (Health Care) Re: How many nails did Rudy buy if he purchased them at a price of$0.25  [#permalink]

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Nums99 wrote:
How many nails did Rudy buy if he purchased them at a price of $0.25 per four nails, sold them at$0.22 per three nails, and made a profit of $2.60? A. 300 B. 240 C. 180 D. 160 E. 120 Profit = Sales - Cost $$2.6 = \frac{0.22}{3}n - \frac{0.25}{4}n = \frac{0.88n}{12} - \frac{0.75n}{12}$$ $$\frac{13}{5} = \frac{0.13n}{12} = \frac{13n}{1200}$$ $$n = \frac{13*1200}{13*5} = 240$$ B _________________ RC Moderator V Joined: 24 Aug 2016 Posts: 802 Location: Canada Concentration: Entrepreneurship, Operations GMAT 1: 630 Q48 V28 GMAT 2: 540 Q49 V16 Re: How many nails did Rudy buy if he purchased them at a price of$0.25  [#permalink]

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As we are dealing with two numbers 3 & 4 .... lets take the LCM of them i.e.,12 .
Cost price for 12 nails = $0.25*12/4=$0.75 & Selling price for 12 nails = $0.22*12/3=$0.88
Profit made per 12 nails = $0.88 -$0.75 = $0.13 So total '12 units' sold =$2.60/$0.13 =20 Total nails sold = 20*12 = 240 .... Thus Ans would be option B. _________________ Please let me know if I am going in wrong direction. Thanks in appreciation. Director  V Joined: 12 Feb 2015 Posts: 863 Re: How many nails did Rudy buy if he purchased them at a price of$0.25  [#permalink]

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Nums99 wrote:
How many nails did Rudy buy if he purchased them at a price of $0.25 per four nails, sold them at$0.22 per three nails, and made a profit of $2.60? A. 300 B. 240 C. 180 D. 160 E. 120 LCM approach is good in such questions:- Rudy purchased nails at a price of$0.25 per four nails, or $0.75 per 12 nails sold them at$0.22 per three nails, or $0.88 per 12 nails and made a profit of$2.60 (total) or $(0.88-0.75) =$ 0.13 per 12 nails

(2.60 * 12)/0.13 = 240 nails (Ans)
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How many nails did Rudy buy if he purchased them at a price of $0.25 [#permalink] Show Tags Nums99 wrote: How many nails did Rudy buy if he purchased them at a price of$0.25 per four nails, sold them at $0.22 per three nails, and made a profit of$2.60?

A. 300
B. 240
C. 180
D. 160
E. 120

Cost Price of $$4$$ nails $$=  0.25$$

Cost Price of $$3$$ nails $$= \frac{0.25*3}{4} =  0.1875$$

Selling Price of $$3$$ nails $$= 0.22$$

Profit on $$3$$ nails $$= 0.22 - 0.1875 =  0.0325$$

Let $$"x"$$ be total number of nails to make profit of $$2.60$$.

$$\frac{0.0325}{3} = \frac{2.60}{x}$$

$$0.0325*x =3*2.60$$

$$x = \frac{3*2.60}{0.0325} = 240$$

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Re: How many nails did Rudy buy if he purchased them at a price of $0.25 [#permalink] Show Tags Nums99 wrote: How many nails did Rudy buy if he purchased them at a price of$0.25 per four nails, sold them at $0.22 per three nails, and made a profit of$2.60?

A. 300
B. 240
C. 180
D. 160
E. 120

We can let n = the number of nails and create the equation:

(0.22/3)n - (0.25/4)n = 2.6

Multiplying by 12, we have:

0.22 x 4n - 0.25 x 3n = 31.2

0.88n - 0.75n = 31.2

0.13n = 31.2

n = 240

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: How many nails did Rudy buy if he purchased them at a price of $0.25 [#permalink] 02 Mar 2019, 10:08 Display posts from previous: Sort by How many nails did Rudy buy if he purchased them at a price of$0.25  