If p men working p hours per day for p days produce p units of work, then the units of work produced by n men working n hours a day for days is = ?
A. $$\frac{{{{\text{p}}^{\text{2}}}}}{{{{\text{n}}^{\text{2}}}}}$$
B. $$\frac{{{{\text{p}}^{\text{3}}}}}{{{{\text{n}}^{\text{2}}}}}$$
C. $$\frac{{{{\text{n}}^{\text{2}}}}}{{{{\text{p}}^{\text{2}}}}}$$
D. $$\frac{{{{\text{n}}^{\text{3}}}}}{{{{\text{p}}^{\text{2}}}}}$$
Answer: Option D
Solution(By Examveda Team)
Applying formulaLet work done by 'n' men and women
$$\frac{{{{\text{p}}_{{\text{men}}}} \times {{\text{p}}_{{\text{hours}}}} \times {{\text{p}}_{{\text{days}}}}}}{{{{\text{p}}_{{\text{units}}}}}} = $$ $$\frac{{{{\text{n}}_{{\text{men}}}} \times {{\text{n}}_{{\text{hours}}}} \times {{\text{n}}_{{\text{days}}}}}}{{{{\text{W}}_{{\text{units}}}}}}$$
$$\eqalign{ & \Leftrightarrow {{\text{p}}^{\text{2}}} = \frac{{{{\text{n}}^{\text{3}}}}}{{\text{w}}} \cr & \Leftrightarrow {\text{W}} = \frac{{{{\text{n}}^{\text{3}}}}}{{{{\text{p}}^{\text{2}}}}} \cr} $$
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