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A particular type of nail is sold in containers of 256 for $9.75 and

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tejhpamarthi
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A particular type of nail is sold in containers of 256 for $9.75 and [#permalink] New post   15 Nov 2010, 14:20
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A particular type of nail is sold in containers of 256 for $9.75 and in containers of 128 for $7.75. If an employee needs to purchase 512 nails for his company and buys 4 of the containers of 128 instead of 2 of the containers of 256, approximately how much more money per nail did the employee spend than he would have if he had bought the larger containers?

a) 0.02
b) 0.03
c) 0.04
d) 0.04
e) 0.05
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A
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krushna
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Re: A particular type of nail is sold in containers of 256 for $9.75 and [#permalink] New post   15 Nov 2010, 14:56
256 nails of the smaller container (128 nails) would cost 15.50 which is 5.75 higher that the 256 container..

means he will pay 5.75 more for 256 nails

OR 5.75/256 = 0.0225 per nail . so apprx 0.02
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Re: A particular type of nail is sold in containers of 256 for $9.75 and [#permalink] New post   18 Jun 2017, 17:55
tejhpamarthi wrote:
A particular type of nail is sold in containers of 256 for $9.75 and in containers of 128 for $7.75. If an employee needs to purchase 512 nails for his company and buys 4 of the containers of 128 instead of 2 of the containers of 256, approximately how much more money per nail did the employee spend than he would have if he had bought the larger containers?

a) 0.02
b) 0.03
c) 0.04
d) 0.04
e) 0.05


256 nails for $9.75. Therefore 512 nails \(= 2 * 9.75 = $19.50\)

128 nails for $7.75. Therefore 512 nails \(= 4 * 7.75 = $31\)

Difference in the price \(= 31 - 19.50 = $11.50\)

Difference of $11.50 for 512 nails.

Difference of Cost of one nail \(= \frac{11.50}{512} = 0.02\). Answer (A)...
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Re: A particular type of nail is sold in containers of 256 for $9.75 and [#permalink] New post   11 Jan 2018, 15:03
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tejhpamarthi wrote:
A particular type of nail is sold in containers of 256 for $9.75 and in containers of 128 for $7.75. If an employee needs to purchase 512 nails for his company and buys 4 of the containers of 128 instead of 2 of the containers of 256, approximately how much more money per nail did the employee spend than he would have if he had bought the larger containers?

a) 0.02
b) 0.03
c) 0.04
d) 0.04
e) 0.05


4 containers of 128 nails each cost 4 x 7.75, so per nail the cost is:

(4 x 7.75)/512 = 7.75/128 ≈ 0.06

2 containers of 256 nails each cost 2 x 9.75, so per nail the cost is:

(2 x 9.75)/512= 9.75/256 ≈ 0.04

Thus, each nail would cost approximately $0.02 more when the employee bought the nails in smaller containers instead of the larger containers.

Answer: A
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Re: A particular type of nail is sold in containers of 256 for $9.75 and [#permalink] New post   04 Nov 2020, 01:38
Price per Nail when he buys 4 Smaller Containers:

[(4) * ($7.75)] / 512 Nails


Price per Nail if he bought 2 Larger Containers:

[(2) * ($9.75)] / 512 Nails


Difference between the 2 ----- Already have a Common DEN = 512


[ (4) * ($7.75) - (2) * ($9.75)] / 512


----Take 2 as Common-----

2 * [ (2) * (7.75) - 9.75] / 512

[ (2) * (7.75) - 9.75 ] / 256

(15.50 - 9.75) / 256

(5.75) / 256


256 * (2) = 512 -----> thus: 256 * (.02) = 5.12

256 * (3) = 768 ------> thus: 256 * (.03) = 7.68


5.75 is MUCH Closer to 256 * (.02)


Answer: $ .02

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Re: A particular type of nail is sold in containers of 256 for $9.75 and [#permalink]
04 Nov 2020, 01:38
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