plus one bottle of Champagne

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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 » Tue Mar 09, 2010 5:15 am

One year payment to the supporter of a party is $200 plus one bottle of Champagne. One supporter leaves the party after 9 months and receives $120 and a bottle of Champagne as his total payment. What is the price of one bottle of Champagne?
(A) $60
(B) $75
(C) $80
(D) $100
(E) $120

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Source: Beat The GMAT — Problem Solving | Tue Mar 09, 2010 5:15 am

firdaus117: Master | Next Rank: 500 Posts; Posts: 102; Joined: Sat Feb 20, 2010 5:38 am; Location: IIM Ahmedabad; Thanked: 10 times

by firdaus117 » Tue Mar 09, 2010 5:22 am

Let the price of one bottle of Champagne be $ P and monthly pay be V.
12 V=200 +P ------- (1)
9V=120 +P-------- (2)
3V=80
or,240=120+P (substituting in 2)
[spoiler]or,P=120 Option E[/spoiler]

kstv: Legendary Member; Posts: 610; Joined: Fri Jan 15, 2010 12:33 amFollowed by: 2 members; Thanked: 47 times

by kstv » Tue Mar 09, 2010 6:48 am

The payment monthly is 200/12 + 1/12 of a champagne -
Payment for 9 months is (200/12)*9 + 9/12 of the bottle = $ 150 + 3/4 bottle.
He is still not entitled to the full bottle, so the accountant of the party deducts $ 30 and gives him a full bottle.
1/4 of the bottle is $ 30

IMO E

inhurry: Newbie | Next Rank: 10 Posts; Posts: 1; Joined: Mon Mar 08, 2010 10:40 am

by inhurry » Tue Mar 09, 2010 11:50 am

this is ratio problem

let bottle be $C

200+C/12 =120+C/9

C=120

The anwer is E

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