Multiple choice

In two solution A and B ratio of milk and water is 5 : 1 and 3 : 1 respectively. If both solution are mixed in 4 : 3 then what will be ratio of milk and water in resultant mixture?

  1. $53 : 33$
  2. $67 : 17$
  3. $15 : 7$
  4. $23 : 11$
  5. $None of these$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Solution A has milk:water = 5:1, so 6 parts total with 5 parts milk. Solution B has milk:water = 3:1, so 4 parts total with 3 parts milk. When mixed in 4:3 ratio, take 4 units of A (20 parts milk, 4 parts water) and 3 units of B (9 parts milk, 3 parts water). Total milk = 20+9 = 29 parts. Total water = 4+3 = 7 parts. Wait, let me recalculate: For A (5:1), in 4 units: milk = 5/6 × 4 = 20/6 = 10/3, water = 1/6 × 4 = 4/6 = 2/3. For B (3:1), in 3 units: milk = 3/4 × 3 = 9/4, water = 1/4 × 3 = 3/4. Total milk = 10/3 + 9/4 = 40/12 + 27/12 = 67/12. Total water = 2/3 + 3/4 = 8/12 + 9/12 = 17/12. Ratio = 67:17. This matches option B.