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A certain bushel of wheat generates one-third the profit of a bushel

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Bunuel
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A certain bushel of wheat generates one-third the profit of a bushel [#permalink] New post   06 Nov 2019, 06:50
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A certain bushel of wheat generates one-third the profit of a bushel of corn. If a bushel of corn generates five-fourths the profit of a bushel of truffles, what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles?

A. 5/12
B. 4/5
C. 5/4
D. 5/3
E. 12/5


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A
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Re: A certain bushel of wheat generates one-third the profit of a bushel [#permalink] New post   06 Nov 2019, 09:23
Profit of corn =x
profit of wheat = x/3
profit of truffle = y
profit of corn of truffle ; 5*y/4 = x
so
fraction of the profit from a bushel of wheat is the profit from a bushel of truffles
x/3/y = 5*y/12 *y = 5/12
IMO A

Bunuel wrote:
A certain bushel of wheat generates one-third the profit of a bushel of corn. If a bushel of corn generates five-fourths the profit of a bushel of truffles, what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles?

A. 5/12
B. 4/5
C. 5/4
D. 5/3
E. 12/5


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Re: A certain bushel of wheat generates one-third the profit of a bushel [#permalink] New post   07 Nov 2019, 19:52
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Bunuel wrote:
A certain bushel of wheat generates one-third the profit of a bushel of corn. If a bushel of corn generates five-fourths the profit of a bushel of truffles, what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles?

A. 5/12
B. 4/5
C. 5/4
D. 5/3
E. 12/5


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If a bushel of truffles generates a profit of T = $60, then a bushel of corn would generate a profit of C = $75, and a bushel of wheat a profit of W = $25.

Thus, T/W = 60/25 = 12/5.

Answer: E
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Re: A certain bushel of wheat generates one-third the profit of a bushel [#permalink] New post   27 Nov 2019, 07:50
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W= 1/3C
C= 5/4T

W= 5/12T

Now, fraction of the profit from a bushel of wheat is the profit from a bushel of truffles.
T= 12/5W
E should be answer.
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A certain bushel of wheat generates one-third the profit of a bushel [#permalink] New post   27 Nov 2019, 09:14
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Bunuel wrote:
A certain bushel of wheat generates one-third the profit of a bushel of corn. If a bushel of corn generates five-fourths the profit of a bushel of truffles, what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles?

A. 5/12
B. 4/5
C. 5/4
D. 5/3
E. 12/5


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I believe OA is wrong and it happens so because the words 'what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles?' is being read wrongly.

A certain bushel of wheat generates one-third the profit of a bushel of corn. -- Let the profit from corn be x, so profit from wheat = \(\frac{x}{3}.\)
If a bushel of corn generates five-fourths the profit of a bushel of truffles, -- Now profit from corn is x, so profit from truffles will be (4x/5).
what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles? OR
read it
Profit from truffles is A of profit from wheat ------- \(\frac{4x}{5}=A*\frac{x}{3}.....A=\frac{12x}{5x}=\frac{12}{5}\)

So answer is E and NOT A...
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Re: A certain bushel of wheat generates one-third the profit of a bushel [#permalink] New post   27 Nov 2019, 11:59
I think you it's a simple question that confuses people with the Profit
1/3 * wheat = corn
5/4 * corn = Truffs

So wheat to corn is 1/3*5/4 or 5/12

1/3x = y
5/4y = z
what is z in terms of x
5/4*(1/3x) = z or 5/12
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Re: A certain bushel of wheat generates one-third the profit of a bushel [#permalink] New post   05 Jun 2020, 23:44
Dear Moderator,


Please change the credited answer to E.



Regards
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Re: A certain bushel of wheat generates one-third the profit of a bushel [#permalink] New post   16 Jun 2021, 06:32
it's quite simple simultaneous multiplication 1/3*5/4 = 5/12
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A certain bushel of wheat generates one-third the profit of a bushel [#permalink] New post   16 Jun 2021, 07:38
Bunuel wrote:
A certain bushel of wheat generates one-third the profit of a bushel of corn. If a bushel of corn generates five-fourths the profit of a bushel of truffles, what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles?

A. 5/12
B. 4/5
C. 5/4
D. 5/3
E. 12/5


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Bunuel can you confirm the answer please..!
Since its asking what fraction of W is T answer should be E'
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Re: A certain bushel of wheat generates one-third the profit of a bushel [#permalink] New post   16 Jun 2021, 21:25
1. Let profit from wheat = 20
Then profit from corn = 60
Then profit from T = 60x4/5= 48
2. W/T= 20/48=5/12
Option A

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Re: A certain bushel of wheat generates one-third the profit of a bushel [#permalink] New post   12 Jul 2022, 03:25
Bunuel could you please confirm if the answer is A or E?
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Re: A certain bushel of wheat generates one-third the profit of a bushel [#permalink]
12 Jul 2022, 03:25
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