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# M31-08

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Math Expert
Joined: 02 Sep 2009
Posts: 47001

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07 Jun 2015, 09:12
00:00

Difficulty:

65% (hard)

Question Stats:

63% (01:41) correct 37% (01:51) wrong based on 46 sessions

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A baker charges $$x$$ dollars for a birthday cake. Next week, she intends to earn 320 dollars selling cakes. If she were to reduce the price of the cake by 20 percent, she would have to sell two more cakes to earn the same amount of revenue. How many cakes does she intend to sell next week?

A. 2
B. 4
C. 6
D. 8
E. 10

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Math Expert
Joined: 02 Sep 2009
Posts: 47001

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07 Jun 2015, 09:13
1
1
Official Solution:

A baker charges $$x$$ dollars for a birthday cake. Next week, she intends to earn 320 dollars selling cakes. If she were to reduce the price of the cake by 20 percent, she would have to sell two more cakes to earn the same amount of revenue. How many cakes does she intend to sell next week?

A. 2
B. 4
C. 6
D. 8
E. 10

Reducing the price by 20%, so multiplying the price by $$\frac{8}{10}$$, results in selling two more cakes to earn the same amount of revenue. So, in this scenario, to get the same revenue, the baker must sell $$\frac{10}{8}$$ times as many cakes. Thus, we are basically told that $$(the \ number \ of \ cakes)*\frac{10}{8} = (the \ number \ of \ cakes) + 2$$, which means that (the number of cakes) = 8.

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Joined: 25 Jan 2015
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06 Sep 2015, 00:06
1
There is ambiguity in the question. You say If she were to reduce the price of the cake by 20 percent, she would have to sell two more cakes to earn the same amount of revenue How many cakes does she intend to sell next week?

She intends to sell the cakes with x dollars (Original price) or .8x (reduced price)?
If it is the earlier then the answer is 8 otherwise is 10

Intern
Joined: 11 Jun 2015
Posts: 12

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07 Apr 2016, 15:14
Hi Buñuel,

I tried solving this question by substituing one of the variables but I couldn´t solve the equations. Why is this? Please see below:
p=initial price
c= number of cakes

320=pc
320= .8p( c+2)

c=320/p

320= .8p(320/p+2)

Why solving the equations does not work to solve the problem?

Thanks,
Ang
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Joined: 19 Jul 2015
Posts: 65
Location: India
GMAT 1: 720 Q51 V35
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25 Jun 2016, 03:04
I think this is a high-quality question and I don't agree with the explanation. you have answered number of cakes as 8, But the number of cakes to be sold next week are (8+2)=10
Math Expert
Joined: 02 Sep 2009
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25 Jun 2016, 04:46
1
Navinder wrote:
I think this is a high-quality question and I don't agree with the explanation. you have answered number of cakes as 8, But the number of cakes to be sold next week are (8+2)=10

Check here: a-baker-charges-x-dollars-for-a-birthday-cake-next-week-she-intends-198284.html

Hope it helps.
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GMAT 2: 700 Q43 V42
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19 Oct 2016, 20:49
I see you have posted the link to the discussion, but it does not address the ambiguity in the question. The number of cakes was solved to be 8. But the number she intends to sell next week is 8+2 = 10. Please correct the answer here
Intern
Joined: 08 Oct 2016
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18 Dec 2016, 23:51
HI,

THANKS
Intern
Joined: 26 Dec 2016
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11 Jan 2017, 04:44
satyakrishna warpedhobbit
The question asks how many cakes she intended to sale to earn 320\$.
The second information says that she need to sell 2 more cakes if and only if she would reduce the price by 20 % ...
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Joined: 17 Jul 2015
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26 Jan 2017, 00:18
I think this is a high-quality question and I don't agree with the explanation. She would have to sell 8+2=10 cakes next week.
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Joined: 26 Dec 2016
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26 Jan 2017, 00:24
rohit789 wrote:
I think this is a high-quality question and I don't agree with the explanation. She would have to sell 8+2=10 cakes next week.

Did you see that the question asks "how much she intended to sell" and not how much she has to sell, if she would reduce the price by 20% ?
Intern
Joined: 07 Mar 2016
Posts: 26
Location: United States
GMAT 1: 710 Q50 V35
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26 Jan 2017, 00:50
Yeah, also I thought that she was gonna reduce the price and sell. I think the trick is "she were"
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Joined: 16 Jan 2013
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24 Nov 2017, 22:31
Revenue = Price per cake * Number of cakes
Let T be the number of cakes being sold

So, x * T = .8x * (T+2)
=> T = 8
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Re: M31-08   [#permalink] 24 Nov 2017, 22:31
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# M31-08

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