A) 15
B) 40
C) 39
D) 33
E) None of these
Correct Answer: B
Solution :
Explanation Liquid into container \[=\,\,\frac{4}{5}\,\,x\]. Let a bottle contains y litre. The amount of liquid left in the container after 6 bottles are taken out and 4 bottles are poured back into it. According to question, \[\frac{4}{5}\,x-6y+4y=\frac{3}{4}x\,\,\Rightarrow \,\,\frac{4}{5}x-2y=\frac{3}{4}x\] \[\Rightarrow \,\,\,2y=\frac{4}{5}\,x-\frac{3}{4}x\,\,\Rightarrow \,2y=\,\frac{1}{20}x\,\,\Rightarrow \,\,y=\frac{x}{\frac{1}{40}x}\] The number of bottles required to completely empty the container is 40.You need to login to perform this action.
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