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28 Jun 2017, 02:06
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C
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Difficulty:
35%
(medium)
Question Stats:
73% (01:42) correct
27%
(01:50)
wrong
based on 90
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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 body weight, by what percent should the prescribed dosage be reduced to bring it down to the typical dosage?
(A) 7.5
(B) 9.0
(C) 11.1
(D) 12.5
(E) 14.8
(A) 7.5
(B) 9.0
(C) 11.1
(D) 12.5
(E) 14.8
28 Jun 2017, 03:36
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Bunuel
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 body weight, by what percent should the prescribed dosage be reduced to bring it down to the typical dosage?
(A) 7.5
(B) 9.0
(C) 11.1
(D) 12.5
(E) 14.8
(A) 7.5
(B) 9.0
(C) 11.1
(D) 12.5
(E) 14.8
Idea dosage for 120 pound weight = 120 * 2/15 = 16 cc
Dosage recommended earlier = 18 cc
Reduction = 2cc
Kindly note that 2cc need to be removed from 18 cc and not 16 cc
Reduction = 2/18 = 1/9
Answer C
sashiim20
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Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
Posts: 612
28 Jun 2017, 05:07
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Bunuel
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 body weight, by what percent should the prescribed dosage be reduced to bring it down to the typical dosage?
(A) 7.5
(B) 9.0
(C) 11.1
(D) 12.5
(E) 14.8
(A) 7.5
(B) 9.0
(C) 11.1
(D) 12.5
(E) 14.8
Typical dosage is \(2\) cubic centimeters per \(15\) pounds \(= \frac{2}{15}\)
Let the typical dosage be \(x\) cubic centimeters for \(120\) pounds \(= \frac{x}{120}\)
\(\frac{2}{15} =\frac{x}{120}\)
\(x = \frac{2*120}{15} = 16\)
Therefore typical dosage for \(120\) pounds is \(16\) cubic centimeters.
Doctor prescribed \(18\) cubic centimeters for \(120\) pounds.
Difference \(= 18 - 16 = 2\)
We need to find the difference ie; \(2\) is what percentage of the dosage doctor has prescribed \(18\).
Required percent \(= \frac{2}{18} * 100 = 11.1\) . Answer (C)...
