Company X provides bottled water to its employees in 5 liter : GMAT Problem Solving (PS)
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# Company X provides bottled water to its employees in 5 liter

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Manager
Joined: 12 Dec 2012
Posts: 162
Location: Poland
Followers: 5

Kudos [?]: 175 [2] , given: 67

Company X provides bottled water to its employees in 5 liter [#permalink]

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16 Dec 2012, 04:25
2
KUDOS
00:00

Difficulty:

65% (hard)

Question Stats:

42% (03:19) correct 58% (02:02) wrong based on 12 sessions

Company X provides bottled water to its employees in 5 liter bottles, $2 each. At least how many 5L bottles must Company X buy monthly, so that new contract with$50 fixed monthly rate and $1 for 20L bottle each paid off? (Assume that no other costs apply) (A) 28 (B) 29 (C) 30 (D) 31 (E) 32 Source: From my business. (So I can't really decide over difficulty level here, maybe you would do it better after solving the problem.) [Reveal] Spoiler: OA _________________ If I answered your question with this post, use the motivating power of kudos! Intern Status: Edge of Extinction Joined: 09 Sep 2012 Posts: 40 Followers: 0 Kudos [?]: 24 [1] , given: 29 Re: Company X provides bottled water to its employees in 5 liter [#permalink] ### Show Tags 16 Dec 2012, 20:39 1 This post received KUDOS Company X provides bottled water to its employees in 5 liter bottles,$2 each. At least how many 5L bottles must Company X buy monthly, so that new contract with $50 fixed monthly rate and$1 for 20L bottle each paid off? (Assume that no other costs apply)

Number of 5L bottles = n
Correspondingly, to equate volume, number of 20L bottles = n/4
Now equating cost to solve:

2n = 50 + n/4
=> 8n = 200 + n
=> 7n = 200
=> n = 28.57

So 29 bottles, since a fraction of a bottle is no use and 28 bottles is going to result in a loss.

It is great you came up with an original problem (and that too based on your business), but I'd like to slightly rephrase in this question if I could: "...must Company X buy acquire monthly..."

You've mentioned no additional costs apply other than the ones you've mentioned, but the solution still has to assume the 5L bottles will be bought at \$0 cost, which might throw some folks off.

Still, kudos for creating your own question. I'd agree with you that this is a 600-700 level question. Now if you introduced red and blue bottles and rate of pouring, it'd become a 700+ problem.
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Intern
Joined: 24 Apr 2012
Posts: 48
Followers: 0

Kudos [?]: 22 [0], given: 1

Re: Company X provides bottled water to its employees in 5 liter [#permalink]

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18 Dec 2012, 00:37
Ans:

let the no. of 5 liter bottles be x, so the no. of 20l bottles will be x/4 (to equate the vol.) since the total cost will be equal , 2x= 50+x/4 so x= 28.5 or 29. Answer is (B).
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Re: Company X provides bottled water to its employees in 5 liter   [#permalink] 18 Dec 2012, 00:37
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