A) \[14\frac{1}{8}%\]
B) \[7\frac{1}{8}%\]
C) \[56\frac{1}{8}%\]
D) \[28\frac{1}{8}%\]
Correct Answer: D
Solution :
| [d] Let the expenses on rice, fish and oil be Rs. 12x, Rs. 17x and Rs. 3x, respectively. Then, total expenses = Rs. 32x Increased expenses \[=\text{Rs}.\,\,[(20%\,\,of\,\,12x)+(130%\,\,\text{of}\,\,\text{17}x)+(150%of3x)]\] \[=\text{Rs}\text{.}\left[ \left( \frac{120}{100}\times 12x \right)+\left( \frac{130}{100}\times 17x \right)+\left( \frac{150}{100}\times 3x \right) \right]\] \[=\text{Rs}\text{.}\left( \frac{72x}{5}+\frac{221x}{10}+\frac{9x}{2} \right)\] \[=\text{Rs}.\left( \frac{144x+221x+45x}{10} \right)\] \[=\text{Rs}.\left( \frac{410x}{10} \right)=\text{Rs}.\,\,41x\] Total increase per cent \[=\left( \frac{9x}{32x}\times 100 \right)%=\frac{225}{8}%=28\frac{1}{8}%\] |
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