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

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23 Jul 2017, 10:03
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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
[Reveal] Spoiler: OA

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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

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23 Jul 2017, 16:01
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;

Last edited by exc4libur on 23 Jul 2017, 16:28, edited 1 time in total.

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

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23 Jul 2017, 23:53
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. _________________ Kudos [?]: 135405 [0], given: 12692 Intern Joined: 20 Sep 2016 Posts: 26 Kudos [?]: [0], given: 115 Re: When a subscription to a new magazine was purchased for m months, the [#permalink] ### Show Tags 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 Kudos [?]: [0], given: 115 Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 1932 Kudos [?]: 1015 [0], given: 3 Location: United States (CA) Re: When a subscription to a new magazine was purchased for m months, the [#permalink] ### Show Tags 26 Jul 2017, 15:34 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 _________________ Scott Woodbury-Stewart Founder and CEO GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Kudos [?]: 1015 [0], given: 3 Manager Joined: 11 Feb 2017 Posts: 175 Kudos [?]: 10 [0], given: 198 Re: When a subscription to a new magazine was purchased for m months, the [#permalink] ### Show Tags 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: $$\frac{3}{4}*p*m = 27p$$;
$$m = 36$$.

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

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

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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 Kudos [?]: 3 [0], given: 454 Math Expert Joined: 02 Sep 2009 Posts: 42573 Kudos [?]: 135405 [0], given: 12692 Re: When a subscription to a new magazine was purchased for m months, the [#permalink] ### Show Tags 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: $$\frac{3}{4}*p*m = 27p$$;
$$m = 36$$.

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

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

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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

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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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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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