# In three vessels each of 10 litres capacity, mixture of milk and water is filled. The ratios of milk and water are 2 : 1, 3 : 1 and 3 : 2 in the three respective vessels. If all the three vessels are emptied into a single large vessel, find the proportion of milk and water in the mixture. Option 1) Option 2) Option 3) Option 4) Option 5)

Direct formula

Required ratio  =$\left ( \frac{2}{2+1} \right )+\left ( \frac{3}{3+1} \right )+\left ( \frac{3}{3+2} \right ):\left ( \frac{1}{2+1} \right )+\left ( \frac{1}{3+1} \right )+\left ( \frac{2}{3+2} \right )$

$\left ( \frac{2}{3}+\frac{3}{4}+\frac{3}{5} \right ):\left ( \frac{1}{3}+\frac{1}{4}+\frac{2}{5} \right )$

$\frac{\left ( 40+45+36 \right )}{60}:\frac{\left ( 20+15+24 \right )}{60}$

$\frac{\left ( 121 \right )}{60}:\frac{\left ( 59 \right )}{60}$

$121:59$

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