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Gym's illumination!

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by Ozlemg » Fri Jul 15, 2011 3:00 am
A number of light bulbs were purchased to illuminate a gym. However, only of them were needed. The extra 160 light bulbs were returned. 60% percent of their cost, or $96, was reimbursed. How much money was spent on illuminating the gym?

(A) 360
(B) 320
(C) 384
(D) 364
(E) 160

OA will follow...
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by Frankenstein » Fri Jul 15, 2011 3:06 am
Hi,
Please check the question after you post it.
A number of light bulbs were purchased to illuminate a gym. However, only of them were needed. The extra 160 light bulbs were returned. 60% percent of their cost, or $96, was reimbursed. How much money was spent on illuminating the gym?
Looks like somethign is missing.
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by MBA.Aspirant » Fri Jul 15, 2011 3:59 am
here you go: https://www.beatthegmat.com/light-bulbs-t86354.html
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by Anurag@Gurome » Fri Jul 15, 2011 4:09 am
Ozlemg wrote:A number of light bulbs were purchased to illuminate a gym. However, only 2/3 of them were needed. The extra 160 light bulbs were returned. 60% percent of their cost, or $96, was reimbursed. How much money was spent on illuminating the gym?
Looks like you blindly copied the question from somewhere and missed the image of the fraction.

(1 - 2/3) = 1/3 of the bulb were returned.
Hence, total number of bulbs purchased = 160*3 = 480

60% cost of 160 bulbs = $96
100% cost of 480 bulbs = $(96*100*480)/(160*60) = $480

Hence, total money spent = $(480 - 96) = $384
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The correct answer is C.[/spoiler]
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by GMATGuruNY » Fri Jul 15, 2011 6:15 am
A number of light bulbs were purchased to illuminate a gym. However, only 2/3 of them were needed. The extra 160 light bulbs were returned. 60% percent of their cost, or $96, was reimbursed. How much money was spent on illuminating the gym?

(A) 360
(B) 320
(C) 384
(D) 364
(E) 160
Since 2/3 of the bulbs were needed, the returned bulbs represent 1/3 of the original purchase.
Thus, the returned bulbs cost 1/3 of the total paid prior to the reimbursement.
We can plug in the answers, which represent the money spent to illuminate the gym.

Answer choice C: 384.
Since 96 was reimbursed, total spent before reimbursement = 384+96 = 480.
Cost of the returned bulbs = (1/3)*480 = 160.
Reimbursement = .6*160 = 96. Success!

The correct answer is C.
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