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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: The ratio of the volumes of the quantities of milk and water in a mixture is 4 : 1. If 5 liters of water is further added to it, the new ratio becomes 3 : 2. Find the quantity of water in new mixture. Quantity B: In a mixture of 35 litres, the ratio of acid and water is 3 : 4. How much water should be added to the mixture to make the ratio 3 :5. Find the quantity of water is a new mixture.

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: The ratio of the volumes of the quantities of milk and water in a mixture is 4 : 1. If 5 liters of water is further added to it, the new ratio becomes 3 : 2. Find the quantity of water in new mixture. Quantity B: In a mixture of 35 litres, the ratio of acid and water is 3 : 4. How much water should be added to the mixture to make the ratio 3 :5. Find the quantity of water is a new mixture. Correct Answer Quantity A < Quantity B

Quantity A:

Let the quantity of mixture is a

⇒ 4a/(a + 5) = 3/2

⇒ 3a + 15 = 8a

⇒ 5a = 15

⇒ a = 3

Quantity of old mixture = 5a = 5 × 3 = 15 litres

Now 5 litres of water is added to the mixture

⇒ New Quantity of mixture = 15 + 5 = 20litres

⇒ New quantity of water = 2/5 × 20 = 8 liters

Quantity B:

Quantity of water = 4/7 × 35 = 20 liters

Quantity of acid = 3/7 × 35 = 15 litres

Now let a litres of water is added to the mixture

⇒ 15/(20 + a) = 3/5

⇒ 60 + 3a = 75

⇒ 3a = 15

⇒ a = 5

⇒ Quantity of new mixture = 35 + 5 = 40 litres

⇒ New quantity of water = 5/8 × 40 = 25 liters

∴ Quantity B > Quantity A

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