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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
I'm also getting D, but the OA is E. Looking forward to the explanation.
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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
Answer has to be 4 dozens, May be the OA is wrong :)
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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
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ashish8 wrote:
I'm also getting D, but the OA is E. Looking forward to the explanation.


OA with a solution will be provided on Friday. E was marked there accidentally.
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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
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SOLUTION

A bakery opened yesterday with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon, and 80 percent of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

20 rolls were sold sold by noon and 80% of the remaining 20 rolls were sold between noon and closing time, thus only 20% of these remaining 20 rolls had not been sold when the bakery closed. Hence 0.2*20=4 rolls had not been sold when the bakery closed.

Answer: D.
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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
worst question ever i thought the bakery would make rolls during the day. what kind of bakery doesn't bake their own rolls?
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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
isn't 40 dozen rolls mean 40x12? If i go this bakery and say give me half a dozen rolls, they will charge me for 6 rolls. not 0.5 rolls. So the total rolls should be 40X12. half rolls sold by noon mean remaining is 20x12. 80% by closing means, 0.2x20x12 remaining = 48.

whats the trick here to choose value as 40 as a starting value for total rolls.

BTW, i choose D by ignoring "dozen" in the problem by just looking at the answer choices.
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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
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pradeepss wrote:
isn't 40 dozen rolls mean 40x12? If i go this bakery and say give me half a dozen rolls, they will charge me for 6 rolls. not 0.5 rolls. So the total rolls should be 40X12. half rolls sold by noon mean remaining is 20x12. 80% by closing means, 0.2x20x12 remaining = 48.

whats the trick here to choose value as 40 as a starting value for total rolls.

BTW, i choose D by ignoring "dozen" in the problem by just looking at the answer choices.


Read the question again: "How many dozen rolls had not been sold when the bakery closed yesterday?"

They want the answer in dozen rolls. You get the answer as 4 dozen rolls.
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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
Bunuel wrote:
A bakery opened yesterday with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon, and 80 percent of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Practice Questions
Question: 19
Page: 154
Difficulty: 550


40/2 * 20/100 = 4

Option D
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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
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Bunuel wrote:
A bakery opened yesterday with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon, and 80 percent of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Practice Questions
Question: 19
Page: 154
Difficulty: 550



half of the 40 dozen roll = 20

80% of 20 = 20*0.8 = 16

20-16 =4 , which is not sold.
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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
40*12 to start with
20*12 sold by noon
(20/5*4)* 12= 16*12 sold by closing time (4/5 is 80%)
(20+16)*12= 36*12 sold
4*12 left = 4 dozen
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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
Yes the "trick" is that they ask for dozen rolls. It is logical to calculaye the 40 dozens in the begining. And since it goes on exlpaining how many of the "rolls" were sold during the day, you sort of forget that it asks about dozens again in the end.

But still, if you do 48/12= 4, you end up with the correct answer.
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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
easy question.

50% --> 20,
80% of 20 = 16.

40-20-16 =4 =answer
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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
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Bunuel wrote:
A bakery opened yesterday with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon, and 80 percent of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5


The bakery began the day with 40 dozen rolls. Half of the rolls were sold by noon, so we know by noon we had 40 x ½ = 20 dozen rolls sold. It follows that there were 20 dozen rolls remaining between noon and closing time.

We are next given that 80% of the remaining rolls were sold between noon and closing time. Since 80% were sold, 20% were left. This means:

rolls left when the bakery closed = 0.2 x 20 = 4 dozen rolls

Answer: D
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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
Bunuel wrote:
A bakery opened yesterday with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon, and 80 percent of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Practice Questions
Question: 19
Page: 154
Difficulty: 550


40*50%=20
20*80%=16

20-16=4
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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
A half dozen was sold by noon = 40/2 = 20
The remaining half dozen = 20
Now, 80% of the remaining half dozen is also sold = 80%*20 = 16dozen
How many were not sold?

We had total = 20 = 100%
80% were sold = -80%
Remaining = 20%

100% of 20 = 20
10% of 20 = 2
20% of 20 = 4 i.e. 2+2

The answer choice is D.
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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
40 dozens = 480 rolls

till noon = half of it sold i.e. 240 sold and 240 left

80% of remaining sold from noon to closing = 0.8*240 = 192

Total sold = 240 + 192 = 432 || Rolls left = 480 - 432 = 48

Converting back into dozens = 48/12 = 4 Ans
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Re: A bakery opened yesterday with its daily supply of 40 dozen [#permalink]
Bunuel wrote:
A bakery opened yesterday with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon, and 80 percent of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Practice Questions
Question: 19
Page: 154
Difficulty: 550


Remaining dozens of donuts: Total dozens - dozens sold by noon - dozens sold after noon = 40 - 20 - 20(.8) = 20 - 16 = 4
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