# Mixture and Alligation Practice Questions

The Mixture and Alligation Practice Questions section have questions on alligation, Mean Price, and the Rule of Alligation. All of these topics are very important and many questions have been already asked from the section on Mixture and Alligation. In the following section of Mixture and Alligation Practice Questions, we will see many similar questions and some questions that have been asked. Best of luck with the section and let us begin!

## Mixture and Alligation Practice Questions

### Part A

From the following questions, select the correct option.

Q1: 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?                [RRB  2003]

A) 3: 7                   B) 5: 7                           C) 7: 3                         D) 7: 5                E) None of These

Q2: 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.       [IGNOU, 2008]

A) 1: 3                      B) 2: 3                       C) 3: 4                   D) 4: 5                       E) None Of These

Q3: 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?

A) 3: 1             B) 3: 2                 C) 4: 3                  D) 5: 3                 E) None Of These

Q4: In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth of Rs. 8 per litre?

A) 1: 2                     B) 2: 1                    C) 2: 3                     D) 3: 2                      E) None of These

Q5: 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           [MBA 2002]

A) 18                      B)  18.50                    C)  19                 D)  19.50                     E) None Of These

Q1: C), Q2: B), Q3: A), Q4: A), Q5: A)

### Part B

Q1: 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%?   [SSC 2004]

A) 3: 2                    B) 3: 4                           C) 3: 5                        D) 4: 5                    E) None Of These

Q2: 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?

A) 36 kg                             B) 42 kg                        C) 54 kg                D) 63 kg                E) None Of These

Q3: In what ratio must water be mixed with milk to gain 16(2/3)% on selling the mixture at cost price?        [LICAAO 2003]

A) 1: 6                      B) 6: 1                     C) 2: 3                    D) 4: 3                   E) None Of These

Q4: 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:

A) 4%                     B) 6(1/4)%                    C) 20%                       D) 25%                  E) None Of These

Q5: 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?

A) 4: 3                   B) 3: 4                             C) 5: 6                        D) 7: 9                  E) None Of These

Q1: A), Q2: D), Q3: A), Q4: C), Q5: D)

### Part C

Q1: 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:

A) 400 kg                    B) 560 kg                        C) 600 kg                         D) 640 kg                    E) None Of These

Q2: 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:

A) 1/3                         B) 2/3                          C) 2/5                          D) 3/5                       E) None Of These

Q3: 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?

A) 26.34 litres                        B) 27.36 litres                     C) 28 litres                   D) 29.16 litres                    E) None Of These

Q4: 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?

A) 10                                B) 20                                     C) 21                                D) 25                         E) None Of These

Q5: 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?

A) 1/3                         B) 1/4                         C) 1/5                           D) 1/7                       E) None Of These

Q6: 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?

A) 4 litres, 8 litres                           B) 6 litres, 6 litres

C) 5 litres, 7 litres                            D) 7 litres, 5 litres                               E) None Of These

Q1: C), Q2: B), Q3: D), Q4: C), Q5: C), Q6: B)

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