Multiple choice

The ratio milk and water in a container is in the ratio 1 : 3, if 5 litres of milk added to this mixture, then ratio of the mixture would be 1 : 2. Then what is the quantity of the new mixture? एक पात्र में दूध और पानी का अनुपात 1 : 3 है, यदि इस मिश्रण में 5 लीटर दूध मिला दिया जाय, तो मिश्रण का अनुपात 1 : 2 हो जाएगा | तदनुसार उस नए मिश्रण की कुल मात्रा कितनी है ?

  1. 32 litres/लीटर

  2. 40 litres/लीटर

  3. 42 litres/लीटर

  4. 45 litres/लीटर

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Initially milk:water = 1:3, so milk = x, water = 3x, total = 4x. After adding 5 litres milk: milk = x + 5, water = 3x. New ratio: (x + 5)/3x = 1/2, so 2(x + 5) = 3x, giving 2x + 10 = 3x, so x = 10. Initial quantities: milk = 10 litres, water = 30 litres. After adding 5 litres milk: milk = 15, water = 30. Total = 15 + 30 = 45 litres. The ratio change lets us solve for the initial quantities.