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The table above shows the average (arithmetic mean) price pe

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The table above shows the average (arithmetic mean) price pe  [#permalink]

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New post 11 Oct 2012, 11:20
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A
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Difficulty:

  45% (medium)

Question Stats:

72% (03:22) correct 28% (03:16) wrong based on 178 sessions

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Month Average Price
per Dozen
April $1.26
May $1.20
June $1.08

The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18
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Re: The table above shows the average (arithmetic mean) price pe  [#permalink]

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New post 11 Oct 2012, 11:48
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1
abhishek1990p wrote:
Month Average Price
per Dozen
April $1.26
May $1.20
June $1.08

The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18


Say x dozen eggs were sold in May.

Then 2x/3 dozen eggs were sold in April and 2*2x/3=4x/3 dozen eggs were sold in May.

Total x+2x/3+4x/3=3x dozen eggs were sold in three months.

Total sales: 2x/3*1.26+x*1.2+4x/3*1.08=$3.48x. The average price per dozen 3.48x/3x=$1.16.

Answer: D.
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The table above shows the average (arithmetic mean) price per do  [#permalink]

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New post 15 Jul 2013, 07:45
As per the given info ratio of number of dozens sold in April:may:june as follows
April:may:june = 2/3:1:4/3

percentage distribution of three months, april= 2/9, may=1/3, june=4/9
now multiply price of each month with its percentage= (2/9*(1.26))+(1/3*(1.20))+(4/9*(1.08)= 1.16
hence answer is D
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Re: The table above shows the average (arithmetic mean) price pe  [#permalink]

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New post 07 Oct 2013, 08:12
Bunuel wrote:
abhishek1990p wrote:
Month Average Price
per Dozen
April $1.26
May $1.20
June $1.08

The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18


Say x dozen eggs were sold in May.

Then 2x/3 dozen eggs were sold in April and 2*2x/3=4x/3 dozen eggs were sold in May.

Total x+2x/3+4x/3=3x dozen eggs were sold in three months.

Total sales: 2x/3*1.26+x*1.2+4x/3*1.08=$3.48x. The average price per dozen 3.48x/3x=$1.16.

Answer: D.


Hi,

This type of calculation takes more than 3 mins.

Is there any easy way of solution?

Regards,
Rrsnathan.
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Re: The table above shows the average (arithmetic mean) price pe  [#permalink]

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New post 16 Oct 2014, 11:14
Bunuel wrote:
Month Average Price
per Dozen
April $1.26
May $1.20
June $1.08

The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18


Say x dozen eggs were sold in May.

Then 2x/3 dozen eggs were sold in April and 2*2x/3=4x/3 dozen eggs were sold in May.

Total x+2x/3+4x/3=3x dozen eggs were sold in three months.

Total sales: 2x/3*1.26+x*1.2+4x/3*1.08=$3.48x. The average price per dozen 3.48x/3x=$1.16.

Answer: D.[/quote]


Hi Bunuel,

could you tell me where am i going wrong?
if suppose x dozen eggs were sold in april then
1.26X+1.20(3/2X)+1.08(2X)/X+3/2X+2X

but i am not getting the answer
please tell me where am i going wrong?
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Re: The table above shows the average (arithmetic mean) price pe  [#permalink]

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New post 17 Oct 2014, 00:59
saggii27 wrote:
Bunuel wrote:
Month Average Price
per Dozen
April $1.26
May $1.20
June $1.08

The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18


Say x dozen eggs were sold in May.

Then 2x/3 dozen eggs were sold in April and 2*2x/3=4x/3 dozen eggs were sold in May.

Total x+2x/3+4x/3=3x dozen eggs were sold in three months.

Total sales: 2x/3*1.26+x*1.2+4x/3*1.08=$3.48x. The average price per dozen 3.48x/3x=$1.16.

Answer: D.



Hi Bunuel,

could you tell me where am i going wrong?
if suppose x dozen eggs were sold in april then
1.26X+1.20(3/2X)+1.08(2X)/X+3/2X+2X

but i am not getting the answer
please tell me where am i going wrong?[/quote]

(1.26x+1.20(3/2*x)+1.08(2x))/(x+3/2*x+2x) is correct. Check math.
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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

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Re: The table above shows the average (arithmetic mean) price pe  [#permalink]

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New post 01 Mar 2017, 03:01
abhishek1990p wrote:
Month Average Price
per Dozen
April $1.26
May $1.20
June $1.08

The table above shows the average (arithmetic mean) price per dozen of the large grade A eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
(A) $1.08
(B) $1.10
(C) $1.14
(D) $1.16
(E) $1.18



You can approximate here.

April - 1.26
May - 1.20
June - 1.08

"If 2/3 as many dozen were sold in April as in May" - The price difference between April and May is 0.06. Splitting this in 2:3 ratio such that average is closer to May, the avg price of April-May would be about 1.22.

"twice as many were sold in June as in April" - In June, number of dozens sold were twice the number in April. So average of April-May-June would be closer to average of April-May but about in the centre.
Mid point of 1.22 and 1.08 is 1.15 but it should be closer to 1.22 so the average must be 1.16.

Answer (D)
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Re: The table above shows the average (arithmetic mean) price pe  [#permalink]

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New post 15 Apr 2018, 11:26
I applied smart number in this question.
say May = 3, April = 2/3 of May = 2, June = twice the amount in April = 4.
(3x1,20) + (2x1,26) + (4x1,08) = 10,44
10,44/ 3+2+4 = 1,66
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Re: The table above shows the average (arithmetic mean) price pe &nbs [#permalink] 15 Apr 2018, 11:26
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