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When a subscription to a new magazine was purchased for m months, the

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When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?

A. 18

B. 24

C. 30

D. 36

E. 48

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New post 23 Jul 2017, 13:31
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carcass wrote:
When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?

A. 18

B. 24

C. 30

D. 36

E. 48

Assume the magazine costs $1 per month. For 27 months, the total value is $27

The total value of the discount, of what we are saving by not having to pay it, is 75% of $1, or .75

If m is the number of months it takes for the value of what we are saving to equal $27, then

.75m = 27
\(\frac{3}{4}\)m = 27
m = 36

Answer D
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When a subscription to a new magazine was purchased for m months, the  [#permalink]

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New post Updated on: 23 Jul 2017, 16:28
carcass wrote:
When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?

A. 18

B. 24

C. 30

D. 36

E. 48


I. m = number of months new subscription, r = regular price, d = discount price given = 0.75r;
II. "27 months @ $r" is equivalent to, "m months @ $d";
III. 27r = md, 27r = m(0.75r), m = 27r/0.75r, m = (27r)*4/3r = 9*4 = 36;

Originally posted by exc4libur on 23 Jul 2017, 16:01.
Last edited by exc4libur on 23 Jul 2017, 16:28, edited 1 time in total.
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When a subscription to a new magazine was purchased for m months, the  [#permalink]

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New post 23 Jul 2017, 16:12
exc4libur wrote:
carcass wrote:
When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?

A. 18

B. 24

C. 30

D. 36

E. 48


I. m = number of months new subscription, r = regular price, d = discounted price = 0.75r;
II. 27 months @ $r = m months @ $d;
III. 27r = md, 27r = m(0.75r), m = 27r/0.75r, m = (27r)*4/3r = 9*4 = 36;

exc4libur , if "the publisher offered a discount of 75 percent off the regular monthly price," doesn't that mean .25r? Am I missing something?
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Re: When a subscription to a new magazine was purchased for m months, the  [#permalink]

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New post 23 Jul 2017, 16:25
genxer123 wrote:
exc4libur , if "the publisher offered a discount of 75 percent off the regular monthly price," doesn't that mean .25r? Am I missing something?

Hi gen :)
You are absolutely right, I'm going to edit the post. Spot on, ty :)
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New post 23 Jul 2017, 23:53
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carcass wrote:
When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?

A. 18

B. 24

C. 30

D. 36

E. 48


Say the regular monthly price is $p.

The total value of the discount for m moths \(= \frac{3}{4}*p*m\).
The regular monthly price for 27 months \(= 27p\).

Equate: \(\frac{3}{4}*p*m = 27p\);
\(m = 36\).

Answer: D.
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Re: When a subscription to a new magazine was purchased for m months, the  [#permalink]

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New post 24 Jul 2017, 19:39
let x be the actual price of the magazine; m is the number of discounted months

(0.75x) m = x*27
m=36
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Re: When a subscription to a new magazine was purchased for m months, the  [#permalink]

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New post 26 Jul 2017, 15:34
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carcass wrote:
When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?

A. 18

B. 24

C. 30

D. 36

E. 48


We can let the regular price per month = r. Thus, the price for 27 months is 27r.

When purchased for m months, the regular price = rm and the total value of the discount was (0.75r)m = (¾)rm.

Thus:

27r = (¾)rm

27 = (¾)m

108 = 3m

36 = m

Answer: D
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Re: When a subscription to a new magazine was purchased for m months, the  [#permalink]

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New post 03 Aug 2017, 06:32
Bunuel wrote:
carcass wrote:
When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?

A. 18

B. 24

C. 30

D. 36

E. 48


Say the regular monthly price is $p.

The total value of the discount for m moths \(= \frac{3}{4}*p*m\).
The regular monthly price for 27 months \(= 27p\).

Equate: \(\frac{3}{4}*p*m = 27p\);
\(m = 36\).

Answer: D.



Buddy just need one help

In stem its given = the total value of the discount

Why is 3/4 *x*m is The total value of discount?

1/4*x*m should not be called as the total value of discount as THIS IS THE AMOUNT WHICH GOT LESS?

SHOULDN'T WE CALL 3/4 *x*m be THE TOTAL VALUE AFTER THE DISCOUNT???

just due the language I thought the equation will be

1/4 *x* m = 27 * m

PLEASE HELP bro
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Re: When a subscription to a new magazine was purchased for m months, the  [#permalink]

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New post 07 Aug 2017, 22:17
rocko911 wrote:
Bunuel wrote:
carcass wrote:
When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?

A. 18

B. 24

C. 30

D. 36

E. 48


Say the regular monthly price is $p.

The total value of the discount for m moths \(= \frac{3}{4}*p*m\).
The regular monthly price for 27 months \(= 27p\).

Equate: \(\frac{3}{4}*p*m = 27p\);
\(m = 36\).

Answer: D.



Buddy just need one help

In stem its given = the total value of the discount

Why is 3/4 *x*m is The total value of discount?

1/4*x*m should not be called as the total value of discount as THIS IS THE AMOUNT WHICH GOT LESS?

SHOULDN'T WE CALL 3/4 *x*m be THE TOTAL VALUE AFTER THE DISCOUNT???

just due the language I thought the equation will be

1/4 *x* m = 27 * m

PLEASE HELP bro


I was confused about the same thing.
75% off seems like 1/4
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Re: When a subscription to a new magazine was purchased for m months, the  [#permalink]

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New post 07 Aug 2017, 23:43
rocko911 wrote:
Bunuel wrote:
carcass wrote:
When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?

A. 18

B. 24

C. 30

D. 36

E. 48


Say the regular monthly price is $p.

The total value of the discount for m moths \(= \frac{3}{4}*p*m\).
The regular monthly price for 27 months \(= 27p\).

Equate: \(\frac{3}{4}*p*m = 27p\);
\(m = 36\).

Answer: D.



Buddy just need one help

In stem its given = the total value of the discount

Why is 3/4 *x*m is The total value of discount?

1/4*x*m should not be called as the total value of discount as THIS IS THE AMOUNT WHICH GOT LESS?

SHOULDN'T WE CALL 3/4 *x*m be THE TOTAL VALUE AFTER THE DISCOUNT???

just due the language I thought the equation will be

1/4 *x* m = 27 * m

PLEASE HELP bro


The total value of the discount is the amount by which the price was reduced. the amount which was saved due to the discount. For example, if something costs $100 and you get a discount of 75%, you buy at $25 and save $75. So, 75 percent off the total value of the discount is $75.

Hope it's clear.
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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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Re: When a subscription to a new magazine was purchased for m months, the  [#permalink]

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New post 10 Sep 2017, 01:18
carcass wrote:
When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?

A. 18

B. 24

C. 30

D. 36

E. 48



regular price = p
discount price = 75p x 1/100

1/100(75p) x m = 27p
27p/75p = 27p x 1/75p
1/100 x m = .36
m = 36

Answer D
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When a subscription to a new magazine was purchased for m months, the  [#permalink]

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New post 09 Oct 2017, 05:59
Hi I too am confused about the wording.

The question says "the publisher offered a discount of 75 percent off the regular monthly price" - to me this seems to be short hand for "the publisher offered a 75% discount off of the regular monthly price." The discounted price is thus 0.25 x regular price, or 0.75 off of the regular price.

My confusion stems from the word 'off' (or in other words 'off of') vs 'of'

Is this correct??
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New post 09 Oct 2017, 15:01
srchen wrote:
Hi I too am confused about the wording.

The question says "the publisher offered a discount of 75 percent off the regular monthly price" - to me this seems to be short hand for "the publisher offered a 75% discount off of the regular monthly price." The discounted price is thus 0.25 x regular price, or 0.75 off of the regular price.

My confusion stems from the word 'off' (or in other words 'off of') vs 'of'

Is this correct??

srchen and pclawong : yes, "75 percent off" is equivalent to "75 percent off of," and both mean you pay 25 percent of the regular price. Or: 75 percent off means you pay 1/4. (You "take off" 3/4.) So you're right.

The value is what I do not have to pay, the amount or percent I save, by getting the discount.

And that is 75 percent "off" regular price, or 75 percent "off of" regular price. Hope it helps.
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Re: When a subscription to a new magazine was purchased for m months, the  [#permalink]

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New post 28 Feb 2018, 08:07
ScottTargetTestPrep wrote:
carcass wrote:
When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?

A. 18

B. 24

C. 30

D. 36

E. 48


We can let the regular price per month = r. Thus, the price for 27 months is 27r.

When purchased for m months, the regular price = rm and the total value of the discount was (0.75r)m = (¾)rm.

Thus:

27r = (¾)rm

27 = (¾)m

108 = 3m

36 = m

Answer: D[/quote

hello ScottTargetTestPrep

27r = (¾)rm

27 = (¾)m i wonder how did you remove "r" from here, three variabes confused me, (i was like how can i solve it if there are three variables :? )

108 = 3m

36 = m
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Re: When a subscription to a new magazine was purchased for m months, the  [#permalink]

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New post 01 Mar 2018, 17:48
1
dave13 wrote:
ScottTargetTestPrep wrote:
carcass wrote:
When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?

A. 18

B. 24

C. 30

D. 36

E. 48


We can let the regular price per month = r. Thus, the price for 27 months is 27r.

When purchased for m months, the regular price = rm and the total value of the discount was (0.75r)m = (¾)rm.

Thus:

27r = (¾)rm

27 = (¾)m

108 = 3m

36 = m

Answer: D[/quote

hello ScottTargetTestPrep

27r = (¾)rm

27 = (¾)m i wonder how did you remove "r" from here, three variabes confused me, (i was like how can i solve it if there are three variables :? )

108 = 3m

36 = m


Hi dave13,

I divided both sides of the equation by r and thus canceled the r variable.
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Re: When a subscription to a new magazine was purchased for m months, the  [#permalink]

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New post 24 Aug 2018, 07:27
Let regular price be ‘p’
0.75*p*m=27*p
0.75*m=27
m=27/0.75
m=36

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Re: When a subscription to a new magazine was purchased for m months, the  [#permalink]

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New post 07 Jan 2019, 10:38
(0.75x) m = x*27
m=36
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