• # question_answer A job has to be completed by 12 boys in 15 days. If three boys are absent from the first day, then by what percentage should the remaining boys increase their rate of working to complete the job? A)  $33\frac{1}{3}%$ B)  $22\frac{1}{2}%$ C)  $40\frac{2}{3}%$ D)  $30\frac{1}{3}%$

Correct Answer: A

Solution :

$\frac{{{M}_{1}}\,{{D}_{1}}\,{{P}_{1}}}{{{W}_{1}}}=\frac{{{M}_{2}}\,{{D}_{2}}\,{{P}_{2}}}{{{W}_{2}}}$ $\Rightarrow$ $12\times 15\times {{P}_{1}}=9\times 15\times {{P}_{2}}$ $\Rightarrow$ ${{P}_{2}}=\frac{4{{P}_{1}}}{3}$ $=\frac{{{P}_{1}}-{{P}_{2}}}{{{P}_{1}}}\times 100$ Percentage increase $=\frac{({{P}_{1}}/3)}{{{P}_{1}}}\times 100=33\frac{1}{3}%$

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