ratio & proportion test 3

1.In some quantity of pure milk costs 3 Rs. per litre 4 litre water is mixed. The milkman sold the mixture at the cost price and earned 20% Profit. Find the quantity of pure milk in the mixture sold.

2.The percentage of sugar in the first solution is 15% while in the second it is 5%. How many litres of the second solution should be mixed with 20 litre of first solution so that the new soulition so obtained contains 10% sugar.

3.If 4 litre water is evaporated from 12 litre solution of 7% acid, then find the percentage of acid in the new solution.

4.In the mixture of 48 litre the ratio of milk to water is 5 : 3. How many litres water should be added to the mixture so that the ratio of milk and water may reverse ?

5.In 700 ml solution of 18% alcohal, how much quantity of pure alcohol is to be added so that the new solution contains 30% alcohol.

6.A milkman says that he sells milk at cost price but he makes 16 2/3 profit by mixing water to milk. If he sells 14 litre (mixture) milk, find the quantity of water in the mixture.

7.In a sample of 50 litre glycerine there was 20% impurity. How many litres pure glycerine should be added to the mixture so that the impurity may reduce to 5% ?

8.Two vessels of same capacity contains a mixture of water and milk. The ratio of water and milk in the two vessels is 3 : 4 and 5 : 3 respectively. If the mixture of two vessels is poured into a third vessel. Find the new ratio of water and milk in the new mixture?

9.Four vessels contains the mixture of milk and water the ratio of milk and water in the vessels is 5 : 3, 2 : 1, 3 : 2, and 7 : 4 respectively. In which vessel, milk is the least in comparison with water.

10.In three alloys A, B and C the percentage of copper is 80%, 75% and 70% respectively and the percentage of tin is 15%, 15% and 25% respectively and the remaining is nickel. If 10 kg, 15 kg and 50 kg of the three alloys be mixed together, find the ratio of copper, tin and nickel in the mixture thus obtained.

11.In a vessel the ratio of milk and water is 4 : 5 18 litre mixture was taken out and replaced with 16 litre water. In this way the ratio of milk and water becomes 4 : 7. Find the initial quantity of mixture.

12.In first type of 10 litre wine alcohol is 26% while in second type of 15 litre wine, alcohol is 45% If both types of wines are mixed together what will be the percentage of alcohol in the mixture?

13.In a mixture the ratio of water and milk is 7 : 5. 24 litre of the mixture is taken out and is replaced with water. Now the new ratio of milk and water becomes 1 : 3. Find the initial quantity of the mixture.

14.A vessel contains 60 litre milk. 10 litre of the milk is taken out of the vessel and replaced with water. This procedure is repeated once more. Now 60 litre milk is poured into the vessel. And again 10 litre of mixture is taken out of the vessel and replaced with water. Find the ratio of milk and water in vessel finally.

15.The capacity of three vessels is in the ratio of 6 : 4 : 3 and they contain mixtures of milk and water. The ratios of milk and water in the vessels are 3 : 1, 4 : 3 and 5 : 2 respectively. If the mixtures of all three vessels are mixed together, find the ratio of milk and water in the new mixture formed so.

16.An article of jewellery of 35 gram made up of gold and silver and cost of the article is ` 13440. If the weight of gold and silver is interchanged then the cost of the article becomes ` 9660. If the cost of gold per gram be ` 540, find per gram cost of silver. Also find the weight of each gold and silver in the jewellery.

17.In an alloy 80% is copper and remaining tin. In an another alloy, copper is 85% and tin is 12%. In what ratio should the two alloys be mixed so that the new mixture must have 15% tin. Also find the percentage of copper in the new mixture.

18.Three glass of equal capacity contains a mixture of water and alcohol in the ratio 4 : 3, 5 : 2 and 7 : 3 respectively. If the mixture of all three glasses is poured into an another fourth glass, what will be the ratio of alcohol and water in the new mixture.

19.A vessel contains some milk. 6 litre of the milk was taken out of the vessel and replaced with 6 litre of water and again 6 litre of mixture was taken out and was replaced with water. Now the ratio of milk to water becomes 100 : 69. Find the initial quantity of milk in the vessel.

20.A vessel cantains 500 litre milk. 40 litre milk was taken out and was replaced with 40 litre water. Next time 20 litre of the mixture was taken out and was replaced with 20 litre water. And in the last 10 litre mixture was taken out and replaced with 10 litre water. Find the quantity of milk remaining in the vessel.