Important Questions with Short Tricks on Mixture & Alligation for SSC Exams 2023

By PARUL RISHI|Updated : April 13th, 2023

Mixture & Alligation, one of the important topics from the exam point of view as the questions from this unit, are a bit tricky and need special attention. So we will discuss some important types and how to solve them with a shortcut approach.

Mixture & Alligation Concept

A mixture, as the name implies, is the combination of two or more items, and alligation allows us to determine the ratio in which the ingredients/materials have been combined and at what price they are marketed to generate profit or face loss. To address mixture and alligation problems, it is necessary to understand that alligation is used to determine the mean value of a mixture when the ratio and amount of the ingredients blended change, as well as the proportion in which the elements are mixed. It may appear complicated at first, but as the candidate answers questions based on it, the concept becomes simpler.

Mixture & Alligation Important Formulae

To answer any numerical ability question, candidates must be familiar with a set of formulae for each topic, which makes answering the questions easier and saves time. Here are a few formulas to help candidates with this and make it easier for them to solve combination and alligation questions.

The basic formula which is used to find the ratio in which the ingredients are mixed is:


It is also called the rule of alligation and can also be represented as 



Mixture & Alligation Important Tips & Tricks 

Time management is critical in government exams, and students cannot afford to waste time when answering any of the questions. Thus, a few easy methods and recommendations will also help candidates simply solve the mixed alligation questions:

  • The rule of alligation can also be used to handle problems involving partnerships, time, labour, and wages.
  • Read a question and try to solve it by putting the values in the above-mentioned alligation rule.
  • Questions from this area may appear difficult at first, but they are simple to solve after a candidate understands the concept and the key formulas utilised.
  • Using the alligation rule, you can not only calculate the ratio between the quantities of two elements, but also the rate at which the article can be sold. Any tip will be useless unless a candidate spends quality time practising mixture and alligation problems and applying the rule of alligation to obtain solutions.

5 Most Important Questions with Short Tricks on Mixture & Alligation For SSC Exams 2023

Question 1: In a mixture of 75 litres, the ratio of milk to water is 2: 1. The amount of water to be further added to the mixture so as to make the ratio of the milk to water 1: 2 will be

(1) 45 litres

(2)  60 litres

(3)  75 litres

(4)  80 litres


In 75 litres of the mixture.


Let x litres of water be added,


Short Trick:


3 units = 75 l because 75 l was in ratio 2: 1 initially.

Question 2: A mixture of 40 litres of milk and water contains 10% water. How much water must be added to make 20% water in the new mixture?

(1)  3 litres

(2)  4 litres

(3)  5 litres

(4)  6 litres



(8 x 5 = 40 l which is the initial quantity. Hence 1 is also multiplied by 5)

Short Trick:

(40 + x) x 20% = 4 + x

x = 5l

Question 3: In three vessels each of 10 l capacity, mixture of milk and water is filled, the ratios of milk and water are 2 : 1, 3 : 1 and 3 : 2 in the three respective vessels, if all the three vessels are emptied into a single large vessel, find the proportion of milk and water in the mixture.

(1)  121 : 59

(2)  123 : 59

(3)  125 : 59

(4)  127 : 59




2nd Method :



L.C.M. of 3, 4 & 5. Hence 3 is multiplied by 4 x 5; 4 is multiplied by 3 x 5; 5 is multiplied by 3 x 4.

Question 4: Vessels A and B contain mixtures of milk and water in the ratios 4: 5 and 5: 1 respectively. In what ratio should quantities of the mixture be taken from A and B to form a mixture in which milk and water are in the ratio 5: 4?

(1)  2 : 5

(2)  4 : 3

(3)  5 : 2

(4)  2 : 3


Quantity of milk in vessel A


Quantity of milk in vessel B


Quantity of milk in final mixture



So, mixture of vessels A and B are mixed in ratio of 5 : 2.

2nd Method :



Question 5: 50 g of an alloy of gold and silver contains 80% gold (by weight). The quantity of gold, that is to be mixed up with this alloy, so that it may contain 95% gold, is

(1)  200 g

(2)  150 g

(3)  50 g

(4)  10 g


Quantity of gold in the alloy


Let x gm of gold is added, then


Other Method: 


1 unit when multiplied by 50 gives 50g. Hence 3 unit is also multiplied by 50.


All the Best 


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