P, Q and R hire a meadow for $3600. If P puts in 9 cows for 12 days; Q

Question

P, Q and R hire a meadow for $3600. If P puts in 9 cows for 12 days; Q puts 16 cows for 9 days and R puts 18 cows for 10 days, then the rent paid by Q is :

(A) $1000 
(B) $1100 
(C) $1200 
(D) $1300
(E) $1400

GMATinsight · Answer

CONCEPT : Ratio of profit = Ratio of investment amount *Time of investment

Cost contribution of P =9 cows*12 days = 108 units
Cost contribution of Q =16 cows*9 days = 144 units
Cost contribution of P =18 cows*10 days = 180 units

Rent of Q  = \frac{144}{108+144+180} * 3600 = 1200

Answer: Option C

rrdeo22 · Answer

We can simplify the ratio as

9*12 : 16*9 : 18*10
12 : 16 : 20 (divided by 9)
3 : 4 : 5 (divided by 4)

thus Q's rent = 4/12 * 3600 = 1200.

anonymous19 · Answer

How do we know that we need to find cost contribution this way when no such information is given. As per the question, the only piece of information available is that the total cost is 3600$ and each took x, y, and z days?

I know my calculation is wrong, but based on the information provided, I did the following:

Total cost to hire a meadow = 3600$
Cost for P = 12 x per day cost
Cost for Q = 9 x per day cost
Cost for R = 10 x per day cost

Since the question mentioned, "the rent paid by Q is: ", I assumed 3600$ is monthly rent and each paid meadow based on the no of days. Since there is no information given:

Let us assume per day cost = A
So, 
12A + 9A + 10A = 3600
31A = 3600 (For calculation, let's take 30, instead of 31)
30A = 3600 (A value is slightly less than 120)

Therefore, Cost of Q rent = 9A = 9 x 120 = 1180 (Since, the answer is slightly less than 1180, only option available is A)

bumpbot · Answer

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P, Q and R hire a meadow for $3600. If P puts in 9 cows for 12 days; Q

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P, Q and R hire a meadow for $3600. If P puts in 9 cows for 12 days; Q

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