Question 69

Vijay purchased two different kinds of alcohol. In the first mixture the ratio of alcohol to water is 3 : 4 and in the second mixture it is 5 : 6. If he mixes the two given mixtures and makes a third mixture of 18 litres in which the ratio of alcohol to water is 4 : 5, the quantity of the first mixture (whose ratio is 3 : 4) that is required to make 18 litres of the third kind of mixture is

Solution

By using allegation method,

Ratio of first mixture to second mixture mixed in third mixture,

$$\Rightarrow \frac{1}{99} : \frac{1}{63}$$

$$\Rightarrow \frac{1}{11} : \frac{1}{7}$$

$$\Rightarrow$$ 7 : 11

Required quantity,

$$\Rightarrow \frac{7}{18}$$ x 18 = 7

Hence, option B is the correct answer.

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