A) \[\frac{1}{3}rd\]
B) \[\frac{3}{7}th\]
C) \[\frac{2}{3}rd\]
D) \[\frac{2}{7}th\]
Correct Answer: D
Solution :
[d] In the mixture, acid\[=80%=\frac{4}{5}\] and water \[=20%=\frac{1}{5}\] Let xth part of the mixture be removed and replaced by water. Then, \[\frac{\frac{4}{5}-\frac{4}{5}x}{\frac{1}{5}-\frac{1}{5}x+x}=\frac{4}{3}\] \[\Rightarrow \] \[\frac{4-4x}{1-x+5x}=\frac{4}{3}\] \[\Rightarrow \]\[\frac{4-4x}{1+4x}=\frac{4}{3}\] \[\Rightarrow \] \[12-12x=4+16x\] \[\Rightarrow \] \[8=28x\] \[\Rightarrow \] \[x=\frac{8}{28}=\frac{2}{7}\text{th}\] |
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