Given below are two quantities named A and B. Based on the given infor

1.	Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.Quantity A: A vessel of 100 liters is filled with milk and water. 80% of milk and 20% of water is taken out of the vessel. It is found that the vessel is vacated by 50%. Find the initial quantity of milkQuantity B: 60 litres1. Quantity A > Quantity B2. Quantity A < Quantity B3. Quantity A ≥ Quantity B4. Quantity A ≤ Quantity B5. Quantity A = Quantity B or No relation.
Answer» Correct Answer - Option 2 : Quantity A < Quantity B Quantity A: Let the initial quantity of milk be x litres ∴ Initial quantity of water = (100 – x) litres Given, 80% of x + 20% of (100 – x) = 50% of 100 ⇒ 80x + 2000 – 20x = 5000 ⇒ 60x = 3000 ⇒ x = 50 litres ∴ Initial quantity of milk = x = 50 litres Quantity B: 60 litres ∴ Quantity A < Quantity B

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.Quantity A: A vessel of 100 liters is filled with milk and water. 80% of milk and 20% of water is taken out of the vessel. It is found that the vessel is vacated by 50%. Find the initial quantity of milkQuantity B: 60 litres1. Quantity A > Quantity B2. Quantity A < Quantity B3. Quantity A ≥ Quantity B4. Quantity A ≤ Quantity B5. Quantity A = Quantity B or No relation.

Answer» Correct Answer - Option 2 : Quantity A < Quantity B

Quantity A:

Let the initial quantity of milk be x litres

∴ Initial quantity of water = (100 – x) litres

Given,

80% of x + 20% of (100 – x) = 50% of 100

⇒ 80x + 2000 – 20x = 5000

⇒ 60x = 3000

⇒ x = 50 litres

∴ Initial quantity of milk = x = 50 litres

Quantity B:

60 litres

∴ Quantity A < Quantity B