Option 4 : 1 : 2

Syllogism (Clear Your Basics)

66989

10 Questions
10 Marks
10 Mins

The mixture P contains water and alcohol in the ratio is 3 : 1.

The quantity of water in mixture P = 3/4

The mixture Q contains water and spirit in the ratio is 5 : 3.

The quantity of water in mixture Q = 5/8

The ratio of water and spirit in the new mixture R is 2 : 1.

The quantity of water in mixture R = 2/3

Using Allegation Principle,

The ratio of mixture = 1/24 : 1/12 = 1 : 2

∴ The ratio of two mixture is 1 : 2.

**Given:**

The mixture P contains water and alcoholin the ratio is 3 : 1.

The mixture Q contains water and alcohol in the ratio is 5 : 3.

The ratio of water and alcohol in the new mixture R is 2 : 1.

**Calculation:**

The mixture P contains water and alcohol in the ratio is 3 : 1.

Let the total quantity of mixture P be x.

The quantity of water in mixture P = 3x/4

The quantity of alcohol in mixture P = 1x/4

The mixture Q contains water and alcohol in the ratio is 5 : 3.

Let the total quantity of mixture P be y.

The quantity of water in mixture Q = 5y/8

The quantity of alcohol in mixture Q = 3y/8

The ratio of water and alcohol in the new mixture R is 2 : 1.

⇒ [(3x/4) + (5y/8)]/[(x/4) + (3y/8)] = 2/1

⇒ (3x/4) + (5y/8) = (x/2) + (3y/4)

⇒ x/4 = y/8

⇒ x/y = 1/2

The ratio of two mixture = 1 : 2

**∴ The ratio of two mixture is 1 : 2.**