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# If in a certain shipment of new cars, the cost of car X is

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Senior Manager
Joined: 30 Aug 2003
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If in a certain shipment of new cars, the cost of car X is [#permalink]

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11 Nov 2003, 11:24
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If in a certain shipment of new cars, the cost of car X is twice the average of the other 11 cars in the shipment, what fraction of the total cost of 12 cars is the cost of car X?
1/12

1/11

2/13

2/11

1/6
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shubhangi

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11 Nov 2003, 12:55
C

Cost of new Car 2
Cost of total Car 13
Fraction 2/13
Senior Manager
Joined: 30 Aug 2003
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Location: dallas , tx
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Kudos [?]: 27 [0], given: 0

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11 Nov 2003, 13:34
its not understandable.. could u please explain wonder_gmat?i am getting 1/6
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shubhangi

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11 Nov 2003, 13:46
Let say cost of 11 old car is y1, y2.......y11
Avg is (y1+y2.....Y11)/11=Y
implies that total cost of (y1+y2....Y11)= 11Y

Cost of car X = 2Y

Total cost of all cars = 11Y+ 2Y=13Y

Fraction is (Cost of car X/ Total Cost)=2Y/13Y=2/13
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12 Nov 2003, 07:19
shubhangi wrote:
its not understandable.. could u please explain wonder_gmat?i am getting 1/6

Let's say:
A = average of all 11 cars

X = 2A..... (given)

We have to find the total of all cars (including X) in order to find the fraction that contributes to X.
Total = X + 11A ..... (we can use 11A here in place of total cost of all cars besides X)
= 2A + 11A
= 13A

Now, we have to find the fraction of the total cost that is contributed to X.
Fraction = X / Total
= 2A / 13A
= 2/13 ..... (A's cancel out)

Make sense?
Senior Manager
Joined: 30 Aug 2003
Posts: 324
Location: dallas , tx
Followers: 1

Kudos [?]: 27 [0], given: 0

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12 Nov 2003, 13:32
Oh yes!! ofcourse both of the explanations are very much clear.. i ws just taking 11 cars.. so i was gettting 1/6..
thanks a lot.
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shubhangi

12 Nov 2003, 13:32
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# If in a certain shipment of new cars, the cost of car X is

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