Bissoy.com
Doctors Medicines MCQs Q&A

A shopkeeper sells mixture of chemical and water. A mixture of 90 litres contains chemical and water in the ratio of 4 : 5. When some same quantity of water and chemical added into the mixture then their ratio becomes 11 : 13. The quantity of water in the new mixture is what percent of total quantity of new mixture?

A shopkeeper sells mixture of chemical and water. A mixture of 90 litres contains chemical and water in the ratio of 4 : 5. When some same quantity of water and chemical added into the mixture then their ratio becomes 11 : 13. The quantity of water in the new mixture is what percent of total quantity of new mixture? Correct Answer 54%

Given:

⇒ Quantity of chemical in mixture = 90 × 4/9 = 40 litres

⇒ Quantity of water in mixture = 90 - 40 = 50 litres

Let quantity of chemical and water added in to the mixture be a litres.

⇒ (40 + a)/(50 + a) = 11 : 13

⇒ 520 + 13a = 550 + 11a

⇒ a = 15

⇒ Quantity of water in new mixture = 50 + 15 = 65 litres

⇒ Total quantity of new mixture = 90 + 15 + 15 = 120 litres

∴ Required percentage = 65/120 × 100 = 54.166 ≈ 54%

Related Questions

A milk seller bought certain quantity of pure milk. He first sold 20 litres of pure milk. He added 20 litres of water to the remaining quantity of milk. He then sold 20 litres of the milk water mixture and added 20 litres of water to the mixture. He again sold 20 litres of this milk water mixture and added 20 litres of water to the mixture. Now, the ratio of milk to water is 8 : 19. How much quantity of pure milk in litres did he buy in the first place?
In a mixture of ghee and dalda, the ratio of ghee to dalda is 5 : a. When 5 litres of ghee were added in the mixture then, the concentration of dalda becomes 50% but when 2 litres of dalda were added in the mixture then the concentration of ghee becomes 40%.  Quantity I : ghee will be what part of the mixture when, 10 litres of ghee were added in the original mixture? Quantity II : Dalda will be what part of the mixture when 3 litres of dalda were added in the original mixture?
Given below are quantities named A,B and C. Based on the given information, you have to determine the relation between the quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer. A milkman has 132 litres mixture of milk and water in a container which contains milk and water in the ratio 7 : 5. The milk man sold 48 litres of the mixture and added 6 litres of pure milk and 20 litres of water to the remaining mixture. The milkman again sold 42 litres of the mixture. Quantity A: Find the quantity of milk left in the container. Quantity B: Find the quantity of water left in the container. Quantity C: 35 litres.
When 12 litres of water were added with some quantity of pure watermelon juice then the ratio of juice to water become 5 : 4 Quantity I: In the mixture, when 2 litres of pure watermelon juice are added then what will be the concentration of juice in the new mixture?  Quantity II: Instead of 12 litres of water, if 5 litres of water were added and the quantity of pure watermelon juice remained the same then what would be the concentration of pure watermelon juice  in the mixture?
In a mixture, there is 63 litres of water and 77 litres of milk. Some quantity of mixture is taken out. After that 16 litres of water and 4 litres of milk are added in to the mixture, so that quantity of water and milk are same in the mixture. Find the total quantity of mixture when some amount of mixture taken out.
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 knowledge of Mathematics to choose between the possible answers. There are two jars which contain different liquids in different quantities Quantity I∶ Quantity of water in Jar 1, if Jar 1 contains mixture of 230 litres which contain juice, water, coke and pepsi. Ratio of quantity of water to juice is 2 : 1 and juice to coke is also 2 ∶ 1 while the ratio of quantity of coke to pepsi is 3 ∶ 2 Quantity II∶ Quantity of water in Jar 2, if Jar 2 contains 10 litres of mixture more than jar 1 and contains juice, coke and water. Water, juice and coke is poured into the jar 8 times in the ratio 3 ∶ 2 ∶ 1. Every time the quantity of a liquid is same.
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.
A vessel contains a mixture of Grape, Pineapple and Banana juices in the respectively ratio of 4 : 6 : 5. 15 litres of this mixture is taken out and 8 litres of grape juice and 2 litres of pineapple juice is added to the vessel. If the resultant quantity of grape juice is 10 litres less than the resultant quantity of pineapple juice, what was the initial quantity of mixture in the vessel ? ( in litres)
In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for both quantities and choose the correct option. Quantity A: How much water must be added to 15 litres of milk-water mixture of ratio 4 ∶ 1, such that the ratio of milk and water in mixture becomes 3 ∶ 2? Quantity B: In what quantity of alcohol-water mixture of ratio 2 ∶ 1, should 2 litres of water be added, such that the ratio of alcohol-water in the final mixture is 1 ∶ 1?
X and Y contain 35 litres and 50 litres of mixtures of liquids A and B respectively. The total quantity of B in both the mixtures is 30 litres. Quantity of A in mixture X is 15 litres less than the quantity of A in mixture Y. If 20% of the liquid is taken from mixture X and put into mixture Y, then what will be the ratio of A to B in mixture Y?