Mixtures and Alligations | RBI Grade B | IBPS PO

Mixtures and Alligations is a chapter (or topic) in banking examinations which many candidates may find hard and/or intimidating, and it really is. However, the main factor here is the lack of practice which causes the candidates to be ill-prepared for their examinations. As it has always been, the topic itself is not quite popular and many candidates ignore this topic because either it is too hard or they simply do not have time to go through it. However, since every topic must be at least covered briefly to understand where the candidate will do well and where they will not, this blog post will cover the topic of Mixtures and Alligations in detail. This blog post is helpful for those who are preparing for the RBI Grade B examination but at the same time it will also be of help to all those who are preparing for their banking examinations in any case whether that may be for IBPS PO or Indian Bank or any other. So, keep reading if you find Mixtures and Alligations to be hard.

The main factor to make note of here is that the formula needs to be correct in the case of Mixtures and Alligations. While the questions are no doubt tricky as they are in the case of any banking examination, writing the correct formula can still help you get the correct answer with relative ease. In this case, we shall consider 2 solved examples of mixtures and alligations to help you better understand the concept as well as its application.

Mixtures and Alligations Types of Questions

There are three main types of questions in mixtures and alligations when considered from the exam point-of-view. Since we do not know which type of questions is going to be present in the examination, it is advisable that you learn all three types.

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Type 1 Ratio Computation 

In the first case, the prices of the items are provided and the major challenge here is to discern the ratio that will thus be applicable for the case wherein the mixture is created. However, students get this part wrong because they do not consider the numbers correctly due to which the whole mixture is wrongly created and the price differences cause the final answer to be erroneous.

Consider this question:

Rice A cost Rs. 12 per kg while Rice B costs Rs. 18 per kg. How much of Rice A and Rice B must be added or mixed together such that the resultant mixture would be worth Rs 15 per kg?


Price of Rice A = Rs 12 per kg

Price of Rice B = Rs 18 per kg

Price of Mixture (should be) = Rs 15 per kg

So, we apply the formula:

Required Ratio = (C.P. of Costlier Item – C.P. of Mixture)/(C.P. of Mixture – C.P. of Cheaper Item)

Applying the same, we have = (18 – 15)/(15 – 12) = 3/2 = 3:2

Therefore, by mixing the rice A and B in the ratio of 3:2, we can make the resulting mixture worth Rs. 15 per kg.

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Type 2 Ratio and Quantity Computation

How much water must be added to 100 liters of orange extract to make orange juice if 1 liter of orange extract costs Rs. 30 and the mixture’s price should be Rs. 10 per liter?

Cost of Orange Extract = Rs. 30 per liter
Cost of Water = Rs. 0 per liter (assumed to be free since it is not bought for any price mentioned)
Cost of Mixture = Rs. 10 per liter

Applying the formula: (CP of Costlier Item – CP of Mixture)/(CP of Mixture – CP of Cheaper Item))
Applying the formula: (30 – 10)/(10 – 0) = 20/10 = 2:1

So, for every 1 liter of orange extract, two liters of water must be added.
So, for 100 liters of orange, 100(2) = 200 liters of water would be necessary.

Therefore, as you could notice, type 2 questions are only an extension of type 1 questions and can be solved with ease if you know the right formula.

All the Best!

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