A) \[\frac{1}{3}\]
B) \[\frac{1}{4}\]
C) \[\frac{1}{5}\]
D) \[\frac{1}{7}\]
Correct Answer: C
Solution :
Let the vessel initially contain 8 L of liquid. |
Let x L of this liquid be replaced with water. |
Quantity of water in the new mixture \[=\left( 3-\frac{3x}{8}+x \right)\,\,L\] |
Quantity of syrup in the new mixture \[=\left( 5-\frac{5x}{8} \right)L\] |
\[\therefore \] \[3-\frac{3x}{8}+x=5-\frac{5x}{8}\] |
\[\Rightarrow \] \[24-3x+8x=40-5x\] |
\[\Rightarrow \] \[10x=16\] |
\[\Rightarrow \] \[x=\frac{16}{10}=\frac{8}{5}\] |
Part of the mixture replaced \[=\left( \frac{1}{8}\text{of}\frac{8}{5} \right)=\frac{1}{5}\] |
You need to login to perform this action.
You will be redirected in
3 sec