How much water (in ml) should be added to 300 ml of a 75% milk and water mixture so that it becomes a 45% milk and water mixture?
Answer & explanation
Correct answer: option 4
Initial Solution,
Milk : Water
3 : 1,
Final solution after adding some quantity of water,
Milk : Water
9 : 11,
Making ratio of Milk in both solution same, we multiply initial solution with 3,
⇒ (3 : 1) x 3 = 9 : 3,
⇒ Quantity of Initial solution = 300 ml
⇒ (9 + 3)x = 300,
⇒ 12x = 300,
⇒ x = 25 ml,
⇒ Initial solution,
Milk = 9 x 25 = 225 ml, Water = 3 x 25 = 75 ml,
⇒ Final Solution,
Milk = 9 x 25 = 225 ml, Water = 11 x 25 = 275 ml,
⇒ Amount of water added to initial solution = 275 - 75 = 200 ml