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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