Aptitude Discussion

Q. |
The proportion of milk and water in 3 samples is $2:1$, $3:2$ and $5:3$. A mixture comprising of equal quantities of all 3 samples is made. The proportion of milk and water in the mixture is : |

✖ A. |
$2:1$ |

✖ B. |
$5:1$ |

✖ C. |
$99:61$ |

✔ D. |
$227:133$ |

**Solution:**

Option(**D**) is correct

Proportion of milk in 3 samples is \(\dfrac{2}{3}, \dfrac{3}{5}, \dfrac{5}{8}\)

Proportion of water in 3 samples is \(\dfrac{1}{3}, \dfrac{2}{5}, \dfrac{3}{8}\)

Since equal quantities are taken,

Total proportion of milk is \(\dfrac{2}{3}+\dfrac{3}{5}+\dfrac{5}{8}=\dfrac{227}{120}\)

Total proportion of water is \(\dfrac{1}{3}+\dfrac{2}{5}+\dfrac{3}{8}=\dfrac{133}{120}\)

Proportion of milk and water in the solution is = **227:133**