Exercise : Alligation or Mixture - General Questions
✔ Alligation or Mixture -
General Questions
21.
One-third of a 60-liter solution is sugar. How much water should be added to it so that the sugar becomes 20%?
View Answer
Answer: Option A
Explanation:
Explanation:
Initial sugar = 20L. Let \(x\) be water added: \(20 / (60 + x) = 20 / 100 \implies 100 = 60 + x \implies x = 40\) liters.
22.
A solution of 100 liters contains 20% honey. How much solution should be replaced with pure honey so that the new solution contains 40% honey?
View Answer
Answer: Option A
Explanation:
Explanation:
Ratio (Original : Replacement) = \((100 - 40) : (40 - 20) = 3 : 1\). Replacement part = \(1/4\). Volume = \(1/4 \times 100 = 25\) liters.
23.
Two types of oils A and B are mixed in ratio 3:2. The price of A is $60 and B is $100. If the mixture is sold at $96, find the profit percentage.
View Answer
Answer: Option A
Explanation:
Explanation:
Weighted CP = \((3 \times 60 + 2 \times 100) / 5 = 76\). SP = 96. Profit % = \((20 / 76) \times 100 \approx 26.31\%\).
24.
A jar contains a mixture of two liquids A and B in ratio 4 : 1. When 10 liters of the mixture is taken out and 10 liters of liquid B is poured into the jar, the ratio becomes 2 : 3. How many liters of liquid A was in the jar initially?
View Answer
Answer: Option A
Explanation:
Explanation:
Let initial A = \(4x\), B = \(x\). After removal and replacement: \((4x - 8) / (x + 8) = 2 / 3 \implies 12x - 24 = 2x + 16 \implies 10x = 40 \implies x = 4\). Initial A = \(4 \times 4 = 16\) liters.
25.
Three containers have capacities in ratio 2:3:4. They are filled with milk and water in ratios 4:1, 11:4, and 7:3. If the contents are emptied into a single vessel, what is the ratio of milk to water?
View Answer
Answer: Option A
Explanation:
Explanation:
Total Milk = \(1.6 + 2.2 + 2.8 = 6.6\). Total Water = \(0.4 + 0.8 + 1.2 = 2.4\). Ratio = \(6.6 : 2.4 = 11 : 4\).