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# Mixture and Alligation #27

 27. In 40 litres of a mixture, the ratio of milk to water is 7:1. In order to make the ratio of milk to water as 3:1, the quantity of water that should be added to the mixture will be A. $6\text{ litre}$ B. $5 \dfrac{2}{3}\text{ litre}$ C. $6 \dfrac{2}{3}\text{ litre}$ D. $4 \dfrac{1}{3}\text{ litre}$

Explanation:

By rule of alligation,

 Concentration of waterin pure water : 1 Concentration of waterin mixture : $\dfrac{1}{8}$ Concentration of water inthe final mixture : $\dfrac{1}{4}$ $\dfrac{1}{4}-\dfrac{1}{8}=\dfrac{1}{8}$ $1-\dfrac{1}{4}=\dfrac{3}{4}$

Quantity of water : Quantity of mixture $=\dfrac{1}{8}:\dfrac{3}{4}=1:6$

Given that quantity of mixture = 40 litre
=>Quantity of water : 40 = 1 : 6
=> Quantity of water $=40 × \dfrac{1}{6} = 6\dfrac{2}{3}$ litre

sana
2017-02-01 09:33:20
y u multiplied with 1/6, i think it should be multiplied with 1/7 reply plz