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A doctor prescribed 18 cubic centimeters of a certain drug to a patien

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A doctor prescribed 18 cubic centimeters of a certain drug to a patien [#permalink]

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A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?

A) 8%
B) 9%
C) 11%
D) 12.5%
E) 14.8%
[Reveal] Spoiler: OA

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Re: A doctor prescribed 18 cubic centimeters of a certain drug to a patien [#permalink]

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New post 15 Jun 2016, 02:11
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typical dosage = 2 cubic centimetres per 15 pounds of the body weight
or,
1200/75= 16 cubic centimetres for a body weight of 120 pounds
doctor prescribed 18 cubic centimetres
greater by (2/16)= 12.5%

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Re: A doctor prescribed 18 cubic centimeters of a certain drug to a patien [#permalink]

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Bunuel wrote:
A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?

A) 8%
B) 9%
C) 11%
D) 12.5%
E) 14.8%



Typical dosage is Dose : weight :: 2: 15.

Now if weight is 120 (Multiplying factor is 8: (120/15)) then typical dosage would be 2 *8 = 16 cc.

Dosage = 18 cc. Dosage is greater by 2 cc.

% disage is greater: (2 / 16)*100 = 12.5 %

D is the answer.

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Re: A doctor prescribed 18 cubic centimeters of a certain drug to a patien [#permalink]

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New post 16 Jun 2016, 01:32
Typical dosage per 15 pound of the body weight = 2 c.c
Typical dosage per 120 pound of the body weight = 2 *(120/15)
= 2 * 8
= 16 c.c
Dosage prescribed by doctor for 120 pound patient = 18 c.c
% prescribed dosage greater than the typical dosage = (18-16/16) *100%
=(2/16) *100%
= 12.5%
Answer D
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Re: A doctor prescribed 18 cubic centimeters of a certain drug to a patien [#permalink]

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New post 16 Jun 2016, 03:34
Bunuel wrote:
A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?

A) 8%
B) 9%
C) 11%
D) 12.5%
E) 14.8%


typical dosage: for 15p -- 2 cc
=> for 1p -- 2/15 cc
=> for 120p -- (2/15)*120 = 16cc
so, (18-16)/16 % = 12.5% -- option d.
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Re: A doctor prescribed 18 cubic centimeters of a certain drug to a patien [#permalink]

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New post 16 Jun 2016, 05:14
Bunuel wrote:
A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?

A) 8%
B) 9%
C) 11%
D) 12.5%
E) 14.8%


Ideal prescription is 2 cubic centimeters for 15 pounds of body weight.

for 120 pounds, it will be= 2*120/15= 16 cubic centimeters

Prescribed dosage= 18 cubic centimeters

% increase= 18-16/16*100= 12.5%

D is the answer
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Re: A doctor prescribed 18 cubic centimeters of a certain drug to a patien [#permalink]

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New post 12 Dec 2017, 09:29
Bunuel wrote:
A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?

A) 8%
B) 9%
C) 11%
D) 12.5%
E) 14.8%


The typical dosage is 2 cubic centimeters (cc) per 15 pounds of body weight. We can set up a proportion to determine what the typical number of cc of the drug would be for a patient with a body weight of 120 pounds:

2/15 = x/120

240 = 15x

240/15 = x

16 = x

Thus, the typical dose for this 120-pound patient is 16 cc. To determine the percent greater than this dose that 18 cc would be, we can use the percent change formula.

(Doctor dose – typical dose)/typical dose x 100%

(18 – 16)/16 x 100% = 2/16 x 100% = 0.125 x 100% = 12.5%

Answer: D
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Re: A doctor prescribed 18 cubic centimeters of a certain drug to a patien [#permalink]

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New post 13 Jan 2018, 08:47
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Bunuel wrote:
A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?

A) 8%
B) 9%
C) 11%
D) 12.5%
E) 14.8%


We can use equivalent ratios to determine what the dosage SHOULD have been.
We'll use the ratio of drug dosage (in cubic centimeters)/body weight (in pounds)

Let x = the dosage (in cubic centimeters) the patient SHOULD have received

We get: 2/15 = x/120
Cross multiply to get: 15x = (2)(120)
Simplify: 15x = 240
Solve: x = 16
So, the patient SHOULD have received a dosage of 16 cubic centimeters
Instead, the patient was prescribed a dosage of 18 cubic centimeters

Percent increase = 100(new - original)/original
= 100(18 - 16)/16
= 200/16
= 12.5

Answer: D

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Re: A doctor prescribed 18 cubic centimeters of a certain drug to a patien   [#permalink] 13 Jan 2018, 08:47
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