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

Question

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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paragw · Answer

Let’s say:

Profit from wheat =W
Profit from corn =C
Profit from truffles =T

W/C = 1/3 & C/T=5/4
On multiplying both ratios, we get
W/T = 5/12
Hence,  A

Diegoram17 · Answer

Profit Wheat = 1/3 * Profit Corn

Profit Corn = 5/4 * Profit Truffles

So

Profit Wheat = 1/3 * 5/4 * Profit Truffles

Profit Wheat = 5/12 * Profit Truffles

Answer A

chrisgg · Answer

Why is this  E  instead of  A ?

jadevisions · Answer

We're told 1 bushel of wheat generates one-third the profit of a bushel of corn: W = C/3; a bushel of corn generates five-fourths the profit of a bushel of truffles: C = 5T/4. The question asks for the fraction of the profit from a bushel of wheat is the profit from a bushel of truffles. In other words, for what value W has to be multiplied to be the profit from a bushel of truffles. Let x be the multiplier, so T=Wx If we solve for C in terms of W, we know that C = 3W: C=C -> 3W = 5T/4 -> 4*3W = 5T -> 12W = 5T -> T= W(12/5). So the multiplier, or the fraction, is 12/5 (E).

CareerLauncherIE · Answer

Let's understand this better,

Solution: 
Let the profit from a bushel of truffles = T.
A bushel of corn generates 5/4 of T, so profit from corn = (5/4)T.
A bushel of wheat generates 1/3 of the profit from corn, so profit from wheat = (1/3) × (5/4)T = 5/12 T.
The question asks: profit from truffles as a fraction of profit from wheat = T ÷ (5/12 T) = 12/5.

So the correct answer is:- (E), 12/5

stne · Answer

One could also pick easy numbers

T  =36 , then C  = 45  and W  = 15

Required Fraction =  \frac{36}{15}
  =  \frac{12}{5}

Ans E

Reon · Answer

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?

Corn Profit= (5/4) Truffle Profit
C= (5/4)T 
Wheat Profit= (1/3) Corn Profit = (1/3)C= (1/3)(5/4)T = (5/12)T

Required Fraction = Profit from Truffles/Profit from Wheat = T/(5/12)T = 12/5

E

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

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GMAT Problem Solving (PS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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