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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. $4 \dfrac{1}{3}\text{ litre}$ |

Answer: Option C

Explanation:

By rule of alligation,

Concentration of water in pure water : 1 | Concentration of water in mixture : $\dfrac{1}{8}$ | |||||||||

Concentration of water in the 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

jiju

2017-02-01 19:58:14

quantity of water : 40 = 1 : 6

=> quantity of water × 6 = 40 × 1

=> quantity of water = 40/6

=> quantity of water × 6 = 40 × 1

=> quantity of water = 40/6

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