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)

    181 : 49

  • Option 2)

    125 : 44

  • Option 3)

    121 : 59

  • Option 4)

    131 : 69

  • Option 5)

    101 : 49

Answers (1)

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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