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If a certain city is losing 12 percent. . . .

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If a certain city is losing 12 percent. . . .

by Vincen » Tue Oct 03, 2017 6:08 pm
If a certain city is losing 12 percent of its daily water supply each day because of water-main breaks, what is the dollar cost to the city per day for this loss?

(1) The city's daily water supply is 350 million gallons.
(2) The cost to the city for each 12,000 gallons of water lost is $2.

The OA is C.

I don't know how can I solve this DS question. Experts, may you help me?
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Wed Oct 04, 2017 1:14 am
Vincen wrote:If a certain city is losing 12 percent of its daily water supply each day because of water-main breaks, what is the dollar cost to the city per day for this loss?

(1) The city's daily water supply is 350 million gallons.
(2) The cost to the city for each 12,000 gallons of water lost is $2.

The OA is C.

I don't know how can I solve this DS question. Experts, may you help me?
'The dollar cost to the city per day for this loss' would be given by 'Gallons of water lost per day' x 'cost of water per gallon'

(1) The city's daily water supply is 350 million gallons.

=> 'Gallons of water lost per day' = 12% of 350 million gallons
We do not know the value of 'cost of water per gallon' -- Insufficient

(2) The cost to the city for each 12,000 gallons of water lost is $2.

=> 'cost of water per gallon' = $(2/12000)
We do not know the value of 'Gallons of water lost per day' -- Insufficient

(1) & (2)

From (1), we get 'Gallons of water lost per day' = 12% of 350 million gallons
From (2), we get 'cost of water per gallon' = $(2/12000)

Thus, 'The dollar cost to the city per day for this loss' = 12% of 350 x (2/12000) = A unique value. Sufficient

The correct answer: C

Hope this helps!

-Jay

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