Cottages at a resort

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sanju09: GMAT Instructor; Posts: 3650; Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members; Location: India; Thanked: 267 times; GMAT Score:760

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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Source: Beat The GMAT — Problem Solving | Fri May 07, 2010 4:38 am

pradeepkaushal9518: Legendary Member; Posts: 1309; Joined: Wed Mar 17, 2010 11:41 pmFollowed by: 5 members; Thanked: 33 times

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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harshavardhanc: Legendary Member; Posts: 526; Joined: Sat Feb 21, 2009 11:47 pm; Location: India; Thanked: 68 times; GMAT Score:680

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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