A tin contains a mixture of Dew and Sprite in the ratio of 7 : 3

A tin contains a mixture of Dew and Sprite in the ratio of 7 : 3
Posted on 17-02-2023

Ques - A tin contains a mixture of Dew and Sprite in the ratio of 7 : 3 and another tin contains the Dew and Sprite in the ratio of 5 : 4. In what proportion should the solution of two tins be mixed to achieve a perfect proportion of 2:1 (in which Dew is 2 times that of sprite).

(a) 10 : 3

(b) 4 : 1

(c) 3 : 10

(d) 3 : 1

Solution -

The ratio of Dew and Sprite in Mixture(M1)  = 7 : 3

Dew in mixture(M1) = 7/10

The ratio of Dew and Sprite in Mixture(M2)  = 5 : 4

Dew in mixture(M2) = 5/9

The ratio of new mixture = 2 : 1

Dew in new mixture = 2/3 (required)

Required ratio = [(2/3) - (5/9)] / [(7/10) - (2/3)]

= [1/9] / [1/30]

= 30/9

= 10/3

= 10 : 3

Therefore,

The required ratio is 10 : 3.

Hence,

The correct answer is option (a) 10 : 3.

Thank You