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# The electricity bill of an office varies directly with the usage of th

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Math Expert
Joined: 02 Sep 2009
Posts: 61283
The electricity bill of an office varies directly with the usage of th  [#permalink]

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28 Dec 2019, 00:40
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Difficulty:

65% (hard)

Question Stats:

63% (02:52) correct 37% (02:59) wrong based on 30 sessions

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The electricity bill of an office varies directly with the usage of the air conditioners. If 8 air conditioners of 1 ton each are used for 8 hrs every day, the monthly bill is Rs.5000. What will
the approximate bill amount be, if 12 air conditioners of 1.5 tons each are used for 10 hrs every day?

A. 8000
B. 9000
C. 10000
D. 12000
E. 14000

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Joined: 02 Aug 2009
Posts: 8261
Re: The electricity bill of an office varies directly with the usage of th  [#permalink]

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28 Dec 2019, 05:34
Bunuel wrote:
The electricity bill of an office varies directly with the usage of the air conditioners. If 8 air conditioners of 1 ton each are used for 8 hrs every day, the monthly bill is Rs.5000. What will
the approximate bill amount be, if 12 air conditioners of 1.5 tons each are used for 10 hrs every day?

A. 8000
B. 9000
C. 10000
D. 12000
E. 14000

8ACs of 1 Ton for 8hrs = 5000
So, 1AC of 1 Ton for 1 hr = 5000/(8*8)

For 12ACs of 1.5 Ton for 10hr = 12*1.5*10*5000/64=180*5000/64~180*5000/60=15000

Just less than 15000, so answer is 14000

E
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Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
The electricity bill of an office varies directly with the usage of th  [#permalink]

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28 Dec 2019, 05:52
Bunuel wrote:
The electricity bill of an office varies directly with the usage of the air conditioners. If 8 air conditioners of 1 ton each are used for 8 hrs every day, the monthly bill is Rs.5000. What will
the approximate bill amount be, if 12 air conditioners of 1.5 tons each are used for 10 hrs every day?

A. 8000
B. 9000
C. 10000
D. 12000
E. 14000

use m1*t1/w1 = m2*t2/w2
find w2
8*1*8/5000 = 12*1.5*10/x
x= ~ 14000
IMO E
The electricity bill of an office varies directly with the usage of th   [#permalink] 28 Dec 2019, 05:52
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# The electricity bill of an office varies directly with the usage of th

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