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Cottages at a resort

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by sanju09 » Fri May 07, 2010 4:38 am
Cottages at a resort are rented for half the summer price in each of the 3 spring months and one-third the summer price in each of the 6 fall and winter months. If each cottage brings in a total of $3,861 when rented for each of the 12 months of the year, what is the monthly rent for each of the 3 summer months?
(A) $297
(B) $397
(C) $594
(D) $702
(E) $858
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by pradeepkaushal9518 » Fri May 07, 2010 4:49 am
ans is C
take summer rent as x

so 3x+3.x/2+6.x/3=3861

solving for x = 594
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by harshavardhanc » Fri May 07, 2010 4:53 am
sanju09 wrote:Cottages at a resort are rented for half the summer price in each of the 3 spring months and one-third the summer price in each of the 6 fall and winter months. If each cottage brings in a total of $3,861 when rented for each of the 12 months of the year, what is the monthly rent for each of the 3 summer months?
(A) $297
(B) $397
(C) $594
(D) $702
(E) $858
if the summer price for one month is x, the question says that :

3x + 1.5x + 2x = 3861

6.5x = 3861

x = 3861/65 . Now as 5 times 60 is 3000 and 7 times 60 is 4200, the answer should lie somewhere between 500 and 700.

Option C
Regards,
Harsha
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