1. 15 litres of a mixture of milk and water in the ratio 2:1, the amount of milk added to the mixture so as to have milk and water in the ratio 5:2 ?
2. 72 litres of a mixture contains milk and water in the ratio of 27:5. How much more water is to be added to get a mixture containing milk and water in the ratio 3:1 ?
3. A mixture contains milk and water in the ratio 5:1, on adding 5L of water the ratio of milk and water becomes 5:2. Find the quantity of milk in the mixture?
4. Nickel and copper are in the ratio 5:3 in 264 gm of an alloy. How much gram of copper be added to make the ratio 3:5 ?
5. An alloy contains copper, zinc and nickel in the ratio of 5:3:2. The quantity of Nickel that must be added to 200 kg of this alloy to have the new ratio 5:3:3.
6. Two numbers are in the ratio 2:3. If 3 is subtracted from the first and 3 is added to the second the ratio becomes 1:2. Then find the sum of the numbers.
7. A trader has 50 kg of rice, a part of which he sells at 28% profit and rest at 12% loss. On the whole his loss is 8%. What is the quantity sold at 28% profit and that at 12% loss ?
8. Four vessels of equal size contains mixture of milk & water. The concentration of milk in four vessel is 60%, 70%, 75%, 80% respectively. If all the four mixtures are mixed then find th ratio of milk to water in the resultant mixture ?
9. A 49 litres cylinder contains a mixture of oxygen and nitrogen, the volume of oxygen being 49% of total volume. A few litre of the mixture is released and an equal amount of nitrogen is added. Then the same amount of mixture as before is released and replaced by nitrogen for the second time. As a result the oxygen content becomes 25% of the total volume. How many litres of mixture is released each time ?
10. There are two vessels of equal capacity one full of milk and second one-third full of water. The second vessel is then filled up by the first, the contents of the second are then poured back into the first till it is full and then again the contents of the first ar poured in the second till it is full. What is the proportion of milk in the second vessel ?
11. In two alloys A and B the ratio of zic to tin is 5:2 and 3:4 respectively. 7kg of alloy A and 21kg of the alloy B are mixed together to form a new alloy. What will be the ratio of zinc and tin in the new alloy ?
12. Three vessels whose capacities are in the ratio 3:2:1 are completely filled with milk mixed with water. The ratio of milk and water in the mixture of vessels are 5:2, 4:1 and 4:1 respectively. Taking \(\frac{1}{3}\) of first, \(\frac{1}{2}\) of second and \(\frac{1}{7}\) of the third mixtures, a new mixture kept in a new vessel is prepared. Find the % of water in the new mixture ?
13. 60 kg of alloy A is mixed with 100 kg of alloy B. If alloy A has lead and copper in the ratio 3:2 and alloy B has copper and tin in the ratio 1:4, then find the amount of copper in the new alloy.
14. Two variety of tea costs Rs. 35 per kg and Rs. 40 per kg respectively are mixed in the ratio 2:3 by weight. If one-fifth of the mixture is sold at Rs. 46 per kg and remaining at the rate of Rs. 55 per kg, then find the profit percent.
15. 30 litres of a mixture contains milk & water in the ratio 4:1. Then find the amount of milk to be added to the mixture so as to have milk and water in the ratio 6:1.