Aptitude Discussion

Q. |
The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water? |

✖ A. |
8 : 3 |

✔ B. |
7 : 5 |

✖ C. |
4 : 3 |

✖ D. |
2 : 3 |

**Solution:**

Option(**B**) is correct

Milk in 1 litre mixture of A = 4/7 litre.

Milk in 1 litre mixture of B = 2/5 litre.

Milk in 1 litre mixture of C = 1/2 litre.

By rule of alligation we have required ratio X:Y

X : Y

4/7 2/5

\ /

(Mean ratio)

(1/2)

/ \

(1/2 – 2/5) : (4/7 – 1/2)

1/10 1/1 4

So Required ratio = X : Y = 1/10 : 1/14 = **7:5**

**Badhon Ahmed**

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**Saurabh**

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why is the mean ratio 1/2 because it is said that both milk and water needs to be half but dint mention anywere that the sum of both are half.

it has said vessel c containing half milk and half water that means mean is 1/2

take average concept here

can you give me another way to solve this problem?