Mixture and Alligation MCQ Questions and Answers

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#1. In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 per kg?

#2. Find the ratio in which rice sold at Rs. 7.20 a kg must be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

#3. In what ratio must tea at Rs. 62 per kg be mixed with tea at Rs. 72 per kg so that the mixture must be worth Rs. 64.50 per kg?

#4. In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth of Rs. 8 per litre?

#5. The cost of Type I rice is Rs. 15 per kg and Type 2 rice is Rs 20 per kg. If both Type 1 and Type 2 are mixed in the ratio 2: 3, then the price per kg of the mixed variety of rice is: Rs




#6. In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?

#7. How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

#8. In what ratio must water be mixed with milk to gain 16(2/3)% on selling the mixture at cost price?

#9. A dishonest milkman professes to sell his milk at some cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:

#10. Two vessels A and B contain spirit and water mixed in the ratio 5: 2 and 7: 6 respectively. Find the ratio in which this mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ration 8: 5?




#11. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quality sold at 18% profit is:

#12. A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:

#13. A can contains a mixture of two liquids A and B in the ratio 7: 5. When 9 litres of mixtures are drawn off and the can is filled with B, the ratio of A and B becomes 7: 9. How many litres of liquid A was contained by the can initially?

#14. A vessel is filled with liquid, three parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

#15. A milk vendor has two cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so ass to get 12 litres of milk such that the ratio of water to milk 3: 5?




#16. A container contains 40 litres of milk. From this container, 4 litres of milk was taken out and replaced by water. this process was repeated further two times. How much milk is now contained by the container?

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