SSC Exam Quantitative Aptitude Study Material: A conceptual guide for Alligation

SSC is well known for the recruitment of Group ‘B’ and ‘C’ posts under the Ministries/Departments in The Government of India. SSC organizes various examinations like Combined Graduate Level examination, Combine Higher Secondary Level, Stenographer and for SI/DP/CAPF, etc., throughout the year having almost the same Exam Pattern. The Exam paper is comprised of basically 4 subjects.

            a. General Intelligence & Reasoning

            b. English language & Comprehension

            c. Quantitative Aptitude

            d. General knowledge

For more detail, click the link given below.

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SSC Stenographer 2016: Take a look of Exam Pattern, Syllabus and Selection Procedure

So, Jagranjosh.com has introduced a brief plan for revising topics at the time of examination. In this article, Alligation concept  which sometimes appear more difficult to understand in terms of  performing Hazzy calculations and confusing complications. It clearly focuses on your logics.

ALLIGATION

Introduction:-

The word allegation means linking. It is used to find:

  1. The proportion in which the ingredients of given price are mixed to produce a new mixture at a given price.

  2. The mean or average value of mixture when the price of the two or more ingredients and the proportion in which they are mixed are given.

Mathematical Formula:

For two ingredient:-

Then (cheaper quantity): (dearer quantity) = (d-m): (m-c)

Example 1: If the rice at Rs 3.20 per kg and the rice at Rs 3.50 per kg be mixed then what should be their proportion so that the new mixture be worth Rs 3.35 per kg ?

Hence they must be mixed in equal proportion i.e. 1:1          

For three ingredient:-

1. The price of the ingredient should be reduced to one denomination and then place them in ascending order under one another.
2. After that place the mean prices to the left of all the price
3. Then pair the price so that price less than and greater than the mean prices go together.
4. Then find out the difference between mean price and each price and place it opposite to the price with which it is linked.
5. These difference will help to find out the given answer and similarly it will work for four ingredients .

Example 2: Find out the ratio of new mixture so that it will cost Rs 1.40 per kg from the given three kinds of rice costing Rs 1.20, Rs 1.45 and Rs 1.74?

Sol 2: 1^st rice cost = 120, 2^nd rice cost = 145 and 3^rd rice cost = 174 paisa.

From the above rule: we have,

Therefore, three rice must be mixed in 39: 20: 20 ratios to have a new mixture of rice.