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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]

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New post 14 Jun 2012, 02:19
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Difficulty:

  45% (medium)

Question Stats:

62% (01:09) correct 38% (01:09) wrong based on 2175 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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Re: Last month a certain music club offered a discount to [#permalink]

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New post 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.

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

Answer: A.

Difficulty level changed to 600.
_________________

New to the Math Forum?
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Resources:
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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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Kudos [?]: 132698 [3], given: 12335

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Re: Last month a certain music club offered a discount to [#permalink]

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New post 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)

Answer A is correct.

Difficulty level is 600.

Kudos [?]: 53 [1], given: 2

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Re: Last month a certain music club offered a discount to [#permalink]

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New post 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,

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Re: Last month a certain music club offered a discount to [#permalink]

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New post 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.

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Re: Last month a certain music club offered a discount to [#permalink]

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New post 16 Jun 2012, 15:13
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Difficulty-level of this question should be at sub-600 level.

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Senior Manager
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Re: Last month a certain music club offered a discount to [#permalink]

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New post 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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Re: Last month a certain music club offered a discount to [#permalink]

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New post 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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Re: Last month a certain music club offered a discount to [#permalink]

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New post 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
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Re: Last month a certain music club offered a discount to   [#permalink] 13 Jan 2017, 13:36
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