If 50% of the 2:3 solution of milk and water is replaced with water, t...
Solution:
Given, the ratio of milk and water in the solution is 2:3.
Let the quantity of solution be 5 units (2 units of milk and 3 units of water).
After replacing 50% of the solution with water, the quantity of water in the solution becomes (3/2) units (as half of the water is replaced with water).
The total quantity of the solution after replacement becomes (2 + 3/2) = 7/2 units.
The new ratio of milk and water in the solution is 2:2.5 or 4:5.
Therefore, the concentration of the solution is reduced by (5 - 4)/5 = 1/5 or 20%.
Hence, the correct option is (C) 50%.
HTML Code:
Solution:
Given, the ratio of milk and water in the solution is 2:3.
Let the quantity of solution be 5 units (2 units of milk and 3 units of water).
After replacing 50% of the solution with water, the quantity of water in the solution becomes (3/2) units (as half of the water is replaced with water).
The total quantity of the solution after replacement becomes (2 + 3/2) = 7/2 units.
The new ratio of milk and water in the solution is 2:2.5 or 4:5.
Therefore, the concentration of the solution is reduced by (5 - 4)/5 = 1/5 or 20%.
Hence, the correct option is (C) 50%.