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The main ingredient in a certain prescription drug capsule cost $500

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The main ingredient in a certain prescription drug capsule cost $500 [#permalink]

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The main ingredient in a certain prescription drug capsule cost $500 per kilogram. If each capsule contains 600 milligrams of ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = 10^6 milligrams)

A. $0.30
B. $0.83
C. $1.20
D. $3.00
E. $3.33
Spoiler: OA

Originally posted by kuristar on 27 May 2006, 09:09.
Last edited by Bunuel on 04 Nov 2014, 04:11, edited 1 time in total.
Renamed the topic and edited the question.
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Re: The main ingredient in a certain prescription drug capsule cost $500 [#permalink]

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New post 27 May 2006, 09:35
You are right...

How did you get that? for some reason, I got 0.83...
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Re: The main ingredient in a certain prescription drug capsule cost $500 [#permalink]

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New post 27 May 2006, 09:38
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kuristar wrote:
You are right...

How did you get that? for some reason, I got 0.83...


kilograms of substance in one capsule = 600/10^6

Cost of substance in one capsule = 500* (600/10^6)
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Re: The main ingredient in a certain prescription drug capsule cost $500 [#permalink]

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New post 27 May 2006, 09:54
Gotcha. Thank you, I think I divided by 500 instead of multiplying.
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Re: The main ingredient in a certain prescription drug capsule cost $500 [#permalink]

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New post 31 May 2006, 02:16
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Easy one.

1kg cost $500
10^6 mg cost $500
600mg cost 500*600/10^6 = 0.30
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Re: The main ingredient in a certain prescription drug capsule cost $500 [#permalink]

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New post 21 Oct 2006, 10:59
The main ingredient in a certain prescription drug capsule costs $500.00 per kilogram. If each capsule contains 600 milligrams of this ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = 10^6 milligrams)

$.30
$.83
$1.20
$3.00
$3.33
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Re: The main ingredient in a certain prescription drug capsule cost $500 [#permalink]

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The main ingredient in a certain prescription drug capsule costs $500.00 per kilogram. If each capsule contains 600 milligrams of this ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = 10^6 milligrams)

$.30 $.83 $1.20 $3.00 $3.33

what is the cost of 600 milligrams given cost of one killogram is 500

10^6 / 600 = 1/6 *10^4 = number of capsules in one killogram

500 / (1/6 *10^4) = 30 * 10^-2 = 3/10 = 0.3
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Re: The main ingredient in a certain prescription drug capsule cost $500 [#permalink]

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The main ingredient in a certain prescription drug capsule costs $500.00 per kilogram. If each capsule contains 600 milligrams of this ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = 10^6 milligrams)

$.30
$.83
$1.20
$3.00
$3.33

10^6 / 10^3 = 1000mg
500/10^3 = 500/1000 = 0.5

can stop here, we know 1000mg = 0.5$
so must be A

or we can work the rest out :-D 6/10 * 0.5 = $0.3
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Re: The main ingredient in a certain prescription drug capsule cost $500 [#permalink]

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New post 29 Aug 2011, 06:27
Find the cost per mg, and multiply that by 600mg…

1kg = 1*10^6 mg. Cost per kg = $500. Therefore cost per mg = $500/10^6 = $5/10^4 .

Multiply this by 600 to get cost per 600mg = (5/10^4)*(6*10^2) = 30*10^-2 = 0.3
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Re: The main ingredient in a certain prescription drug capsule cost $500 [#permalink]

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kuristar wrote:
The main ingredient in a certain prescription drug capsule cost $500 per kilogram. If each capsule contains 600 milligrams of ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = 10^6 milligrams)

A. $0.30
B. $0.83
C. $1.20
D. $3.00
E. $3.33


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Re: The main ingredient in a certain prescription drug capsule cost $500 [#permalink]

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\(Answer = \frac{500 * 600}{10^6} = \frac{3}{10} = 0.3\)

Answer = A
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Re: The main ingredient in a certain prescription drug capsule cost $500 [#permalink]

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kuristar wrote:
The main ingredient in a certain prescription drug capsule cost $500 per kilogram. If each capsule contains 600 milligrams of ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = 10^6 milligrams)

A. $0.30
B. $0.83
C. $1.20
D. $3.00
E. $3.33


\(\frac{5*10^2}{10^6}*6*10^2=0,3\)
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Re: The main ingredient in a certain prescription drug capsule cost $500 [#permalink]

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New post 11 May 2017, 19:44
500/(10^6)=$0.0005/mg

0.0005*600=0.3
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Re: The main ingredient in a certain prescription drug capsule cost $500 [#permalink]

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New post 11 Apr 2018, 16:20
PareshGmat wrote:
\(Answer = \frac{500 * 600}{10^6} = \frac{3}{10} = 0.3\)

Answer = A



by far this is the best solution since you can solve it manually with no calculator. I bet some used calculator for this question. :)
Re: The main ingredient in a certain prescription drug capsule cost $500   [#permalink] 11 Apr 2018, 16:20
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