Milk costs Rs. 50 per litre. How much water must be added to 40 litres of milk so that the mixture can be sold at Rs. 40 per litre without any loss?
Correct answer B. 10 litres
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Alligation or Mixture MCQs
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A trader sells 50 kg of sugar, part at 8% profit and the rest at 18% profit, earning 14% profit overall. How many kg did he sell at 18% profit?
Correct answer D. 30 kg
A 45 litre mixture contains milk and water in the ratio 4 : 1. How much milk must be added so that the ratio becomes 6 : 1?
Correct answer C. 18 litres
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Two jugs contain milk and water in the ratios 3 : 1 and 5 : 3 respectively. Equal quantities from both jugs are poured into a third jug. What is the ratio of milk to water in the third jug?
Correct answer C. 11:5
Alloy P contains copper and zinc in the ratio 5 : 3 and alloy Q contains them in the ratio 3 : 1. In what ratio must P and Q be melted together to get a new alloy with copper and zinc in the ratio 7 : 3?
Correct answer C. 2:3
The average weight of 40 students in a class is 52 kg. The average weight of the boys is 56 kg and that of the girls is 46 kg. How many girls are in the class?
Correct answer D. 16
How many kg of sugar costing Rs. 45 per kg must be mixed with 20 kg of sugar costing Rs. 36 per kg so that the mixture costs Rs. 42 per kg?
Correct answer B. 40 kg
In what ratio must a grocer mix tea costing Rs. 50 per kg and Rs. 65 per kg so that by selling the mixture at Rs. 66 per kg he gains 10%?
Correct answer B. 1:2
A trader mixes two varieties of pulses costing Rs. 72 per kg and Rs. 92 per kg and sells the mixture at Rs. 76 per kg, incurring a loss of 5%. In what ratio did he mix them?
Correct answer B. 3:2
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Rs. 12,000 is lent partly at 8% and partly at 13% simple interest per annum. If the total interest after one year is Rs. 1,110, how much was lent at 13%?
Correct answer A. Rs. 3000
A motorist covers 260 km in 5 hours, driving partly at 40 km/h and partly at 70 km/h. What distance did he cover at 70 km/h?
Correct answer A. 140 km
A jar holds 40 litres of pure juice. 10 litres are taken out and replaced with water, and the process is repeated once more. What is the final ratio of juice to water?
Correct answer D. 9:7
A vessel contains milk and water in the ratio 3 : 1. What fraction of the mixture must be drawn off and replaced with water so that the ratio becomes 3 : 2?
Correct answer D. 1/5
A shopkeeper mixes 15 kg of lentils costing Rs. 40 per kg with 25 kg of lentils costing Rs. 56 per kg. What is the cost of the mixture per kg?
Correct answer B. Rs. 50
How many litres of a 50% acid solution must be added to 30 litres of a 20% acid solution to obtain a 30% acid solution?
Correct answer D. 15 litres
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A 40 kg salt solution contains 15% salt. How much water must be evaporated so that the solution contains 20% salt?
Correct answer D. 10 kg
A 60 litre mixture contains milk and water in the ratio 7 : 3. How much water must be added to make the ratio 7 : 5?
Correct answer A. 12 litres
From a vessel full of pure milk, 6 litres are drawn and replaced with water. This is repeated once more, after which milk and water are in the ratio 16 : 9. What is the capacity of the vessel?
Correct answer D. 30 litres
A tank holds 64 litres of pure oil. Each time, 16 litres are removed and replaced with kerosene. After how many such operations will the tank contain 27 litres of oil?
Correct answer C. 3
A cask contains 125 litres of pure syrup. 25 litres are drawn off and replaced with water. This operation is performed three times in all. How much syrup remains in the cask?
Correct answer D. 64 litres