Bill has d animals, 12 of which were sold at a profit of 10%

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Bill has d animals, 12 of which were sold at a profit of 10% [#permalink]

01 Nov 2012, 22:59

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Bill has d animals, 12 of which were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, Bill made neither a profit nor a loss. Which of the following is equal to d?

(A) 6
(B) 12
(C) 18
(D) 24
(E) 36

[Reveal] Spoiler: OA

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Re: Bill has d animals, 12 of which were sold at a profit of 10% [#permalink]

01 Nov 2012, 23:15

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total d animals, suppose each has price of x - total price = dx

now 12 were sold at profit of 10%, making equation - - 12*1.1x
now d-12 were sold at loss of 20%, making eqn --- (d-12)*0.8x

Now he made no profit or loss so,

dx = 12*1.1x + (d-12)*0.8x

solving for d, we get d=18

Ans C

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Re: Bill has d animals, 12 of which were sold at a profit of 10% [#permalink]

01 Nov 2012, 23:21

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Again if we go by eliminating the option method,

ans A and B are out as they are value less then or eul to 12.
Ans d = 12 sold at 10% profit while 12 sold at 20% loss , so here Loss will come which is contradicted to question stem..
Ans e = 12 sold at 10% profit while 24 sold at 20% los, so here also Loss will come which is contradicted to question stem..

only option C = 18 balances eqn ---> 12 at Profit and 6 at loss.

Manager

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Re: Bill has d animals, 12 of which were sold at a profit of 10% [#permalink]

02 Nov 2012, 12:33

bhavinshah5685 wrote:

nice elimination technique, it's realy worth Kudos

Re: Bill has d animals, 12 of which were sold at a profit of 10% [#permalink] 02 Nov 2012, 12:33

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Bill has d animals, 12 of which were sold at a profit of 10%

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Bill has d animals, 12 of which were sold at a profit of 10%

Bill has d animals, 12 of which were sold at a profit of 10%

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