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# Last month a certain music club offered a discount to

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Math Expert
Joined: 02 Sep 2009
Posts: 44674
Last month a certain music club offered a discount to [#permalink]

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14 Jun 2012, 02:19
10
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Expert's post
20
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Difficulty:

45% (medium)

Question Stats:

66% (01:05) correct 34% (01:04) wrong based on 2138 sessions

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Last month a certain music club offered a discount to preferred customers. After the first compact disc purchased, preferred customers paid $3.99 for each additional compact disc purchased. If a preferred customer purchased a total of 6 compact discs and paid$15.95 for the first compact disc, then the dollar amount that the customer paid for the 6 compact discs is equivalent to which of the following?

(A) 5(4.00) + 15.90
(B) 5(4.00) + 15.95
(C) 5(4.00) + 16.00
(D) 5(4.00 - 0.01) + 15.90
(E) 5(4.00 - 0.05) + 15.95

Diagnostic Test
Question: 1
Page: 20
Difficulty: 600
[Reveal] Spoiler: OA

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Math Expert
Joined: 02 Sep 2009
Posts: 44674
Re: Last month a certain music club offered a discount to [#permalink]

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14 Jun 2012, 02:21
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SOLUTION

Last month a certain music club offered a discount to preferred customers. After the first compact disc purchased, preferred customers paid $3.99 for each additional compact disc purchased. If a preferred customer purchased a total of 6 compact discs and paid$15.95 for the first compact disc, then the dollar amount that the customer paid for the 6 compact discs is equivalent to which of the following?

(A) 5(4.00) + 15.90
(B) 5(4.00) + 15.95
(C) 5(4.00) + 16.00
(D) 5(4.00 - 0.01) + 15.90
(E) 5(4.00 - 0.05) + 15.95

The cost of 6 compact discs would be $15.95 for the first compact disc plus$3.99 for each of the other 5 discs, so it's $$15.95+5*3.99$$.

We can see that no answer choice matches this value. So, we should manipulate with that expression to get the answer which is listed.

$$15.95+5*3.99=15.95+5*(4-0.01)=15.95+5*4-0.05=5*4+15.90$$.

Difficulty level changed to 600.
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Intern
Joined: 03 Jun 2012
Posts: 30
Location: United States
WE: Project Management (Computer Software)
Re: Last month a certain music club offered a discount to [#permalink]

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14 Jun 2012, 20:42
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The first disc is for $15.95 and the 5 subsequent ones for$3.99 each.

Total = 15.95 + 5(3.99)
= 15.95 + 5(4.00-0.01)
= 15.95 + 5(4.00)-0.05
= 15.90 + 5(4.00)

Difficulty level is 600.
Current Student
Joined: 29 Mar 2012
Posts: 318
Location: India
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38
Re: Last month a certain music club offered a discount to [#permalink]

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14 Jun 2012, 22:41
Hi,

Difficulty level: 600, answer is straight forward, but a little manipulation is required to reach to the answer.

Regards,
Manager
Joined: 07 Sep 2011
Posts: 62
Location: United States
GMAT 1: 640 Q39 V38
WE: General Management (Real Estate)
Re: Last month a certain music club offered a discount to [#permalink]

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16 Jun 2012, 03:20
Difficulty level 600+. Minor manipulations required. However, very close answer choices might force to mark wrong answer under pressure.

I solved as given below;

3.99*5=19.95+15.95= 35.90 and then just checked the answers matching the total.
Senior Manager
Joined: 06 Aug 2011
Posts: 369
Re: Last month a certain music club offered a discount to [#permalink]

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17 Jun 2012, 03:29
Its not A.. its E..

(4-.01) that will be is equal to the 3.99 *5+(15.95)..

i dont think so dificulty level wud be 650.. it wub be 550 or 600..
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Senior Manager
Joined: 06 Aug 2011
Posts: 369
Re: Last month a certain music club offered a discount to [#permalink]

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17 Jun 2012, 03:33
OHH m wrong .. its A.. i thought in E its .01 but its .05..

Its A..
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Senior Manager
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Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Re: Last month a certain music club offered a discount to [#permalink]

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13 Jan 2017, 13:36
1st : 15.95$Remaining 5 discs : 5 x 3.99 15.95 + 5 x 3.99 15.95 + 5(4 - 0.01) 15.95 + 5x4 - 0.05 15.90 + 5(4) A _________________ I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 11515 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: 340 Q170 V170 Re: Last month a certain music club offered a discount to [#permalink] ### Show Tags 11 Feb 2018, 13:24 Hi All, Like many GMAT questions, this prompt isn't really about doing lots of math - it's about organizing the information that you're given so that you can avoid doing lots of calculations. Notice how the first disc is$15.95? That's $0.05 LESS than$16.
Notice how the additional discs are all $3.99? That's$0.01 LESS than $4. It's interesting that the question tells us that after the first disc is purchased, EXACTLY 5 additional discs are purchases. The total of those 5 additional discs would be$0.05 less than $20. Thinking in these terms (the$0.05 'pieces' that you have to subtract from the 1st disc and the sum of the next 5 discs), the numbers in this prompt are actually pretty easy to combine and simplify.

[Reveal] Spoiler:
A

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(A) 5(4.00) + 15.90
(B) 5(4.00) + 15.95
(C) 5(4.00) + 16.00
(D) 5(4.00 - 0.01) + 15.90
(E) 5(4.00 - 0.05) + 15.95

The preferred customer paid 15.95 + 5(3.99) dollars for the 6 CDs. However, we don’t see this expression in the answer choices. We can see that had the 15.90 in choice D been 15.95, then D would be the correct answer. Or had the 0.05 in choice E been 0.01, then E would be the correct answer. However, since they aren’t, neither one is the correct answer.

Now let’s analyze the remaining three answer choices. A, B and C. Notice that each one has 4.00, which is 0.01 more than 3.99 and the difference between 5(4.00) and 5(3.99) is 5(0.01) = 0.05. Thus we see that, since 5(4.00) overvalued the cost by 0.05, we must undervalue 15.95 by 0.05 to 15.90 to have an equivalent cost. Thus, equivalently, the customer paid 5(4.00) + 15.90 dollars.

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Re: Last month a certain music club offered a discount to   [#permalink] 12 Apr 2018, 16:27
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