X liters of mixture contain milk and water. Water is 20% in the mixture.…
2024
X liters of mixture contain milk and water. Water is 20% in the mixture. Follow the steps one after another in the given order.
I. b liters of water is added, and the percentage of water in the mixture becomes 25%.
II. b liters of mixture is removed.
III. 1.5b liters of milk are added.
Find the final quantity of the mixture after completing these three steps.
Answer: A. 16.5b — Initial water is 20% of X, i.e. 0.2X. After adding b litres of water, water becomes 0.2X + b and total mixture becomes X + b. The new water percentage is 25%,…
- A.
16.5b
- B.
18.5b
- C.
17.5b
- D.
12.5b
- E.
15.5b
Attempted by 13 students.
Show answer & explanation
Correct answer: A
Initial water is 20% of X, i.e. 0.2X.
After adding b litres of water, water becomes 0.2X + b and total mixture becomes X + b.
The new water percentage is 25%, so 0.2X + b = 0.25(X + b).
Solving gives 0.75b = 0.05X, so X = 15b.
After step I, total mixture is 16b. Removing b litres leaves 15b. Adding 1.5b litres of milk gives 16.5b.