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Last month a certain music club offered a discount to

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Last month a certain music club offered a discount to [#permalink] New post 14 Jun 2012, 01:19
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Question Stats:

65% (01:49) correct 35% (00:59) wrong based on 482 sessions
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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Re: Last month a certain music club offered a discount to [#permalink] New post 14 Jun 2012, 01:21
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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.

Answer: A.

Difficulty level changed to 600.
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Re: Last month a certain music club offered a discount to [#permalink] New post 14 Jun 2012, 19:42
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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)

Answer A is correct.

Difficulty level is 600.
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Re: Last month a certain music club offered a discount to [#permalink] New post 14 Jun 2012, 21:41
Hi,

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

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Re: Last month a certain music club offered a discount to [#permalink] New post 16 Jun 2012, 02:20
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.
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Re: Last month a certain music club offered a discount to [#permalink] New post 16 Jun 2012, 14:13
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Difficulty-level of this question should be at sub-600 level.
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Re: Last month a certain music club offered a discount to [#permalink] New post 17 Jun 2012, 02:29
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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Re: Last month a certain music club offered a discount to [#permalink] New post 17 Jun 2012, 02:33
OHH m wrong :(.. its A.. i thought in E its .01 but its .05..

Its A..
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Re: Last month a certain music club offered a discount to [#permalink] New post 22 Jun 2012, 01:18
Expert's post
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.

Answer: A.

Difficulty level changed to 600.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: Last month a certain music club offered a discount to [#permalink] New post 30 Oct 2013, 23:40
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Re: Last month a certain music club offered a discount to   [#permalink] 30 Oct 2013, 23:40
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