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.
16. A man purchased two books in Rs. 1000. He sells the first book at \(\frac{4}{5}\) of its cost price and the second book at \(\frac{5}{4}\) of its cost price. If during the whole transaction he earns a profit of Rs. 100 then find the cost price of cheaper book.
17. Silver is 19 times as heavy as water and copper is 10 times as heavy as water. In what ratio these be mixed to get an alloy 13 times as heavy as water ?
18. Ankit buys 8 pens and 4 pencils for Rs. 2400. He sells pencils at a profit of 20% and pen at a loss of 10%. If his overall profit is 240 then find the cost price of each pencil and each pen.
19. Ratio of land and water on earth is 1:2 and ratio of land and water in northern hemisphere is 2:3 then find the ratio of land and water in southern hemisphere.
20. In what proportion must water be mixed with spirit to gain 40% by selling it at cost price.
21. In a class, the ratio of number of girls to boys is 1:2. If the average weight of boys is 55 kg and the average weight of girls and boys is 50 kg then find the average weight of girls.
22. Ankit buy a book at 4% discount and a pen at 12% discount. He overall gets a discount of 10%. If the marked price of both are 200 Rs. then find the price of the pen.
23. How many kg of sugar at 47 paise per kg must a man mix with 25 kg of sugar at 20 paise per kg so that he may, on selling the mixture at 40 paise per kg gain 25% on the outlay ?
24. The ratio of the number of boys and girls in a school was 5:3. Some new boys and girls were admitted to the school, in the ratio 5:7. At this the total number of students in the school become 1500 and the ratio of boys to girls changed to 7:5. Find the number of students in the school before new admission ?
25. A and B are two alloy of copper and Tin prepared by mixing metals in proportion 7:2 and 7:11 respectively. If equal quantities of alloy are melted to form a third alloy C then find the proportion of copper and tin in alloy C.
26. Find the ratio of quantities of sugar, in which sugar costing 25 per kg and 20 per kg should be mixed so that there will be neither loss nor gain on selling the mixed sugar at the rate of 22 per kg.
27. A merchant borrowed Rs. 2500 from two money lenders. For one loan he paid 12% p.a. and for the other 14% p.a. The total interest paid for one year was Rs. 326. How much did he borrowed at each rate ?
28. A vessel contains 96 litres of milk. 12 litres of milk is taken out from it and replaced by water then again from the mixture, 12 litre is taken out and replaced by water. Then find the ratio of milk and water in the resultant mixture ?
29. 112 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 of 3:1 ?
30. A and B are two alloy of Gold and Copper prepared by mixing metals in the ratio 5:3 and 5:11 respectively. Equal quantities of these alloys are melted to form a third alloy C then find the ratio of Gold & Copper in the alloy C ?