A) Rs. 15
B) Rs. 18
C) Rs. 20
D) Rs. 36
Correct Answer: B
Solution :
Let the original rate \[=Rs.\,x\,\text{per }kg\] New rate \[=85%\text{ of}\,x\] \[=Rs.\frac{85x}{100}=Rs.\frac{17x}{20}\] Original quantity for Rs. 240 \[=\frac{240}{x}\] New quantity \[=240\times \frac{20}{17y}=\frac{4800}{17x}\] \[\therefore \] \[\frac{4800}{17x}-\frac{240}{x}=2\] \[\Rightarrow \] \[\frac{4800-4080}{17x}=2\] \[\Rightarrow \] \[\frac{720}{17x}=2\] \[\Rightarrow \] \[x=\frac{720}{2\times 17x}\] \[\therefore \] Original rate per kg \[=Rs.\frac{720}{34}\] \[\therefore \] Reduced rate \[=Rs.\frac{17x}{20}\] \[=Rs.\left( \frac{17}{20}\times \frac{720}{34} \right)\] \[=Rs.18\]
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