In what ratio must coffee powder costing Rs. 300 per kg be mixed with coffee powder costing Rs. 420 per kg to get a blend worth Rs. 340 per kg?
Correct answer B. 2:1
Topic / 73 questions
Alligation or Mixture MCQs
Alligation or Mixture MCQs test how to find the ratio in which two or more ingredients at different prices must be mixed to give a mixture of a set price. They are common in NTS, banking, SSC and IBPS papers. Each question has an instant answer, so you can practise the alligation rule with confidence.
- Numbers 104
- Percentage 103
- Age Questions 95
- Profit and Loss 82
- Ratio and Proportion 80
- Time and Work 73
- Alligation or Mixture 73
- Fraction and Decimal 72
- Compound Interest 71
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- Area 64
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- Equations and Inequalities 64
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- Simplification 60
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- Partnership 56
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- Problems on Numbers 47
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- Odd Man Out and Series 43
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- Clock 39
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- Height and Distance 37
- True Discount 36
- Stocks and Shares 34
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- Banker's Discount 32
- Counting 32
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- Problems on H.C.F and L.C.M 30
- Calendar 30
- Road Problems 26
- Word Problems 25
- Men and Food 24
A 25 litre mixture contains 40% alcohol. How many litres of pure alcohol must be added to make the mixture 50% alcohol?
Correct answer B. 5 litres
A 50 litre mixture has milk and water in the ratio 3 : 2. If 10 litres of the mixture are removed and replaced with water, what is the new ratio of milk to water?
Correct answer D. 12:13
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A grocer mixes two varieties of rice costing Rs. 30 and Rs. 40 per kg in the ratio 3 : 2 and sells the mixture at Rs. 42.50 per kg. What is his profit percentage?
Correct answer A. 25%
In what ratio must water be mixed with a cleaning liquid costing Rs. 84 per litre so that the mixture is worth Rs. 72 per litre?
Correct answer D. 1:6
Two varieties of rice costing Rs. 56 and Rs. 76 per kg are mixed to make 60 kg of a mixture worth Rs. 64 per kg. How many kg of the cheaper variety are used?
Correct answer B. 36 kg
Two types of wheat are mixed in the ratio 5 : 3 to give a mixture worth Rs. 28.75 per kg. If the first type costs Rs. 25 per kg, what is the cost of the second type per kg?
Correct answer B. Rs. 35
Section A has 45 students with an average score of 60. When combined with section B, whose average is 75, the overall average becomes 66. How many students are in section B?
Correct answer B. 30
Container X has milk and water in the ratio 4 : 1 and container Y has them in the ratio 2 : 3. In what ratio must the contents of X and Y be mixed to get milk and water in equal amounts?
Correct answer C. 1:3
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A tank is full of pure petrol. Each time, 20% of the contents are drained and replaced with kerosene. After three such operations, what percentage of the tank is petrol?
Correct answer D. 51.2%
A can holds 120 litres of milk and water in the ratio 5 : 1. How many litres of the mixture must be drawn off and replaced with water so that the ratio becomes 3 : 1?
Correct answer C. 12 litres
A cask contained a solution with 40% spirit. Part of it was taken out and replaced with a solution containing 25% spirit, and the cask now has 30% spirit. What fraction of the original solution was replaced?
Correct answer D. 2/3
A bag contains 60 coins of Rs. 2 and Rs. 5 denominations worth Rs. 240 in all. How many Rs. 5 coins are there?
Correct answer D. 40
In what ratio must a jeweller melt 22-carat gold with 18-carat gold to obtain 20.5-carat gold?
Correct answer D. 5:3
A dealer mixes 12 kg of coffee costing Rs. 80 per kg with 8 kg of coffee costing Rs. 105 per kg. What is the cost of the mixture per kg?
Correct answer D. Rs. 90
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Two varieties of flour costing Rs. 24 and Rs. 30 per kg are mixed with a third variety in the ratio 1 : 2 : 3. If the mixture costs Rs. 35 per kg, what is the price of the third variety per kg?
Correct answer C. Rs. 42
Three varieties of nuts costing Rs. 40, Rs. 50 and Rs. 70 per kg are mixed in the ratio 2 : 3 : 1. What is the cost of the mixture per kg?
Correct answer C. Rs. 50
How many kg of an alloy containing 85% silver must be melted with 10 kg of an alloy containing 60% silver to obtain an alloy with 75% silver?
Correct answer B. 15 kg
A drum contains 50 litres of pure milk. 5 litres are removed and replaced with water, and this is repeated once. How much water does the drum now contain?
Correct answer B. 9.5 litres
A 40 litre mixture contains milk and water in the ratio 3 : 1. If 5 litres of milk and 5 litres of water are added, what is the new ratio of milk to water?
Correct answer D. 7:3
About Alligation or Mixture MCQs
This Aptitude topic uses the rule of alligation: the ratio of the cheaper to the dearer quantity equals the dearer price minus the mean price, divided by the mean price minus the cheaper price. Questions ask for mixing ratios of tea, rice or other goods, the price per kg of a mixture made in a given ratio, the price of a third variety when three are mixed, and problems where a grocer sells the mixture at a profit, so the cost price of the mixture must be found first. Removing the profit before applying the rule is a common step that many candidates miss.
Exams that include Alligation or Mixture MCQs
Pakistan
- NTS
- GAT
- ISSB
- Army/Navy/PAF initial tests
- FPSC
- PPSC
- Banking job tests
India
- SSC CGL
- SSC CHSL
- IBPS PO
- SBI PO
- RRB NTPC
- Campus placements
Bangladesh
- BCS
- Bank job exams
- Government job tests
Frequently asked questions
What is the rule of alligation?
The rule of alligation says (quantity of cheaper) ÷ (quantity of dearer) = (dearer price minus mean price) ÷ (mean price minus cheaper price). For example, to get a mean of Rs. 18 from rice at Rs. 15 and Rs. 20, mix them in the ratio 2 : 3.
How do I handle mixture questions that include profit?
First find the cost price of the mixture by removing the profit from the selling price. If a mixture sells at Rs. 68.20 with a 10 per cent gain, its cost price is 68.20 ÷ 1.1 = Rs. 62. Then apply the alligation rule using Rs. 62 as the mean.
Last reviewed October 2026