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%

Perfect opportunity for

UNITS CONTROL, one of the most powerful tools carefully explained in our course!

\({\rm{atypical}}\,\,\left( {120\,\,{\rm{pounds}}} \right)\,\,\,:\,\,\,18\,{\rm{c}}{{\rm{m}}^3}\)

\({\rm{typical}}\,\,\,{\rm{:}}\,\,\,120\,{\rm{pounds}}\,\, \cdot \,\,\left( {{{2\,{\rm{c}}{{\rm{m}}^3}} \over {15\,{\rm{pounds}}}}} \right)\,\,\, = \,\,\,16\,\,{\rm{c}}{{\rm{m}}^{\rm{3}}}\)

\(16\mathop \to \limits^{?\, = \,\Delta \% } 18\,\,\,\,\left[ {{\rm{c}}{{\rm{m}}^{\rm{3}}}} \right]\)

\({\rm{?}}\,\, = \,\,\Delta \% \,\, = \,\,{{18 - 16} \over {16}}\,\,\, = \,\,\,{1 \over 8} \cdot 100\% \,\,\, = \,\,\,12.5\%\)

The correct answer is therefore (D).

We follow the notations and rationale taught in the

GMATH method.

Regards,

Fabio.

_________________

Fabio Skilnik :: GMATH method creator (Math for the GMAT)

Our high-level "quant" preparation starts here: https://gmath.net