32 questions · Difficulty 1/3
1. Alloys A and B contain copper and zinc in the ratio 7 : 8 and 4 : 1, respectively. In what ratio should A and B be mixed to obtain a new alloy C containing copper and zinc in the ratio 2 : 1 ?
2.Three bottles of the same capacity are 30%, 40% and 25% full of orange juice, respectively. They are filled up completely by adding apple juice. The contents of the three bottles are emptied into another vessel. What is the percentage of apple juice in the mixture?
3. In vessels X and Y, the ratios of acid and water are 3 : 7 and 1 : 3, respectively. The contents of X and Y are mixed in the ratio of 1 : 2 tothe ratio a : b. What is the value of get a solution in which acid and water are in b+a/b-a?
4.One cup has juice and water in the ratio 5 : 2, while another cup of the same capacity has them in the ratio 7: 4, respectively. If contents of both the cups (when full) are poured in a vessel, then what will be the final ratio of water to juice in the vessel?
5.Alloy A contains metals x and y only in the ratio 5 : 2, while alloy B contains them in the ratio 3 : 4 Alloy C is prepared by mixing alloys A and B in the ratio 4 : 5. The percentage of x in alloy C is:
6.A vessel contained a solution of acid and water, in which water was 64%. Four litres of the solution was taken out of the vessel and the same quantity of water was added. If the resulting solution contains 30% acid, the quantity (in litres) of the water in the solution, at the beginning in the vessel, was:
7. Mixture A contains chocolate and milk in the ratio 4:3 and mixture B contains chocolate and milk in the ratio 5 : 2. A and B are taken in the ratio 5:6 and mixed to form a new mixture. The percentage of chocolate in the new mixture is closest to:
8.Alloy A contain metals x and y in the ratio 5 : 2 and alloy B contains these metals in the ratio 3 : 4. Alloy C is prepared by mixing A and B in the ratio 4 : 5.The percentage of y in alloy C is:
9.In what ratio should two varieties of tea at Rs.300 and Rs.400 per kg, respectively, be mixed so that the mixture is worth Rs.320 per kg?
10.The ratio of copper and Zinc in alloy A is 5 : 7 and that in alloy B is 4: 5. Aand B are taken in the ratio of 1 : 2 and mixed to form a new alloy C. What part of C is copper?
11.Two containers have mixtures of milk and water, respectively, in the ratios 3 : 2 and 6 : 5. In what ratio should the contents be mixed so that the ratio of milk to water in the final mixture is 4 : 3?
12.Shovik purchases two types of sugar: the first type at Rs.45 per kg and the second type at Rs.80 per kg. In what ratio should Shovik blend the first type of sugar with the second type so that, by selling each kg of the blended sugar at Rs.72 per kg, he makes a profit of 20%?
13. 5 kg of Rs. 18 per kg wheat is mixed with 2 kg of another type of wheat to get a mixture costing Rs. 20 per kg. Find the price (per kg) of the costlier wheat.
14.700 grams of cane sugar solution has 60% of sugar in it. How much sugar should be added to make it 75% in the solution?
15. If 49 litres of a milk solution has 63% milk in it, then how much milk should be added to make the concentration of milk 70% in the solution?
16.There are two types of milk. The price of one type of milk is Rs. 70/litre and the price of other type of milk is Rs. 50/litre. If the two types of milk are mixed, the price of new mixture will be Rs. 55/litre. Find the ratio of the two types of milk in this new mixture.
17.In what ratio must a shopkeeper mix two types of rice worth Rs.60 per kg and Rs.80 per kg, sot the average cost of the mixture is Rs.75 per kg?
18.A beaker is filled with a liquid, 3 parts of which are water and 7 parts some medicine. What part of the mixture should be replaced with water so that that the resultant mixture has water and medicine in a ratio1:1?
19.Champa buys type 1 sugar at Rs. 45 per kg. He mixes it with type 2 sugar having a price of Rs. 48 per kg. The final mixture becomes worth Rs. 46 per kg. What is the ratio of the quantities of type 1 sugar to type 2 sugar in the final mixture?
20.A seller combines 26 kg of rice priced at Rs. 20 per kg with 30 kg of rice priced at Rs. 36 per kg and sells the mixture for Rs. 30 per kg. What is the percentage of profit he makes?
21. Copper and bronze are in the ratio 3 : 4 in 350 gm of an alloy. The quantity (in gm) of copper to be added to it to make the ratio 4 : 3 is:
22.1196.67 gmFind the ratio in which pulses at Rs.80 per kg can be mixed with pulses at Rs.95 per kg to get a mixture worth Rs.85 per kg.
23. How much water (in ml) should be added to 300 ml of a 75% milk and water mixture so that it becomes a 45% milk and water mixture?
24.A shopkeeper mixes three types of rice costing Rs. 50 per kg, Rs. 60 per kg and Rs. 75 per kg in the ratio of 3 : 1 : 2. The average cost of the mixture per kg is :
25. Rice worth Rs. 96 per kg and Rs. 104 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 113 per kg, the price of the third variety of rice per kg will be:
26.A solution of 45% alcohol is mixed with a solution of 60% alcohol in the ratio of 2 : 3. In what ratio should the resultant solution be mixed with a 72% alcohol solution to get a 66% alcohol solution?
27. An alloy contains a mixture of two metals X and Y in the ratio of 2 : 3. The second alloy contains a mixture of the same metals, X and Y, in the ratio 7 : 3. In what ratio should the first and the second alloys be mixed so as to make a new alloy containing 50% of metal X?
28. A container contains a mixture of two liquids, A and B, in the proportion 7 : 5. If 9 liters of the mixture is replaced by 9 liters of Liquid B, then the ratio of the two liquids becomes 7 : 9. How much of liquid A was there in the container initially?
29.A mixture of acid and water contains 20 percent acid . When 10 litres of water is added to the mixture, then the percentage of acid becomes 15 percent. What is the original quantity of mixture?
30.The ratio of milk to water in a 100 litres mixture is 2 : 3. 10 litres of this mixture is withdrawn and replaced with milk. This process is repeated 2 more times. What is the percentage of milk in final mixture?
31.If two types of pulses costing Rs.97 per kg and Rs.105 per kg are mixed in the ratio of 5 : 3, then what is the cost of the resulting mixture?
32.Rohan buys 5 kg of sugar for Rs.44 per kg and another 10 kg of sugar for Rs.50 per kg. What is the cost of the mixture of 15 kg of sugar for him?