SSC MTS 2023 PYQ — Question 6

SSC MTS - 08 May 2023 - Shift 1 • Quantitative Aptitude • Q6

A mixture contains milk and water in the ratio 5 : 2. If 4 liters of water is added to the mixture, the ratio becomes 5 : 4. What is the quantity of milk in the given mixture?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 10 liters.

The ratio of milk and water is = 5 : 2

Let the quantity of milk in the mixture be 5x litres

The quantity of water be 2x litres

When 4 litres of water is added to the mixture, the ratio becomes = 5 : 4.

hence¸

⇒ 5x2x+4=54\frac{5x}{2x + 4} = \frac{5}{4}

⇒ 20x = 10x + 20

⇒ 20x - 10x = 20

⇒ 10x = 20

⇒ x = 20/10 = 2

So¸

The quantity of milk in the mixture is = 5x = 5 × 2 = 10 liters