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 quantity sold at 18% profit is:
Correct answer C. 600 kg
Topic / 15 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.
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8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16: 65. How much wine did the cask hold originally?
Correct answer B. 24 litres
The cost of Type 1 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 of 2: 3, then the price per kg of the mixed variety of rice is:
Correct answer A. Rs. 18
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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%?
Correct answer A. 3 : 2
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
Correct answer B. 2 : 3
In what ratio must water be mixed with milk to gain 16 % on selling the mixture at cost price?
Correct answer A. 1 : 6
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:
Correct answer B. 2/3
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?
Correct answer B. 27.36 litres
How many kilogram 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?
Correct answer D. 63 kg
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A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
Correct answer D. 25%
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 kg?
Correct answer C. 7 : 3
A milk vendor has 2 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 as to get 12 litres of milk such that the ratio of water to milk is 3: 5?
Correct answer B. 6 litres, 6 litres
A can contains a mixture of two liquids A and B is the ratio 7: 5. When 9 litres of mixture 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?
Correct answer C. 21
Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1: 1: 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
Correct answer C. Rs. 175.50
A vessel is filled with liquid, 3 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?
Correct answer C. 1/5
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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.
How many Alligation or Mixture MCQs are on MCQs360?
MCQs360 has 15 Alligation or Mixture MCQs, each with an instant answer, free and without sign-up. Draw the small alligation cross for each question while practising, as it quickly becomes a habit that saves time in the exam.
Last reviewed October 2026