A) \[\frac{{{p}^{2}}}{{{n}^{2}}}\]
B) \[\frac{{{p}^{3}}}{{{n}^{2}}}\]
C) \[\frac{{{n}^{2}}}{{{p}^{2}}}\]
D) \[\frac{{{n}^{3}}}{{{p}^{2}}}\]
Correct Answer: D
Solution :
\[\because \] p men working p h per day for p days produce p units of work. \[\therefore \]1 man working 1 h per day for 1 day produce \[\frac{p}{{{p}^{3}}}=\frac{1}{{{p}^{2}}}\] units of work \[\therefore \] n men working n h a day for n days produce \[\frac{{{n}^{3}}}{{{p}^{2}}}\] units of work.
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