Loading...

Ratio And Proportion

Practice MCQ with Solutions

Video Lesson on Ratio And Proportion

A ratio is a comparison of two numbers. We generally separate the two numbers in the ratio with a colon ":". Suppose we want to write the ratio of 8 and 12.

We can write this as 8:12 or as a fraction 8/12, and we say the ratio is eight to twelve.

Ratio

  • The ratio of two quantities a and b of same units is the fraction x/y, where b ? 0
  • The fraction x/y can be represented as x:y

Different types of ratios are:

The concept of ratio & proportion is used in quantitative as well as DI section. Grocery shopping, selling, cooking to industries production- everything makes use of the concept of ratio, proportion & mixtures. Partnership assumes significance in the business world, where various business partners need to distribute profits according to their share of investments and time period. Here, you will learn the formulae & shortcuts to solve questions based on ratio, mixtures and partnership.

1) Duplicate ratio:

It is the ratio of squares of two numbers.

r1 -12700415

2) Sub-duplicate ratio:

It is the ratio between square roots of two numbers.

r2 -74375760

3) Triplicate ratio:

It is the ratio of cubes of two numbers.

r3 -71527064

4) Sub- Triplicate ratio:

It is the ratio between cube roots of two numbers

r4 -51503468

5) Compound ratio:

It is the ratio of product of first terms in every ratio to that of product of second term in every ratio.
For example: Compound ratio of (a : x), (b : y), (c : z) is (abc : xyz)

6) Inverse ratio:

The ratio formed by interchanging their old places in the ratio to new
The inverse ratio of 5 : 8 is 8 : 5.

Proportion:

  • 1) Proportion is the equality of two ratios.
    When (a : b = x : y) is represented as (a : b :: x : y), then a, b, x, y are said to be in proportion.
    In (a : b :: x : y), a and y are called as extremes and b and x are called as mean terms.
    Product of means = Product of extremes
  • 2) Mean proportion: Mean proportion between x and y is given as xy
  • 3) Third proportion: If p : q = q : s, then s is called as third proportional to p and q.
  • 4) Fourth proportion: If u : v = x : y, then y is the fourth proportional of u, v and x.

Quick Tips and Tricks

1) Comparison of ratios:

r5 -60125504

2) Proportion

r7 -42380548

4) Variation:

  • If a = kb for some constant k, then we can say that a is directly proportional to b.
  • If ba =k for some constant k, then we can say that a is inversely proportional to b.

5) Ratio between first and second quantity

If ratio between first and second quantity m : n = a : x, second and third quantity n : p = b : y, fourth and fifth quantity p : q = c : z, then m : n : p : q can be easily solved by using the trick shown below:
r7 -42380548 m : n : p : q = abc : xbc: xyc : xyz

6) If a number a is divided in the ratio x : y,

r8 -44644864

Topics

More for You
All in this Category

You may be interested in

Colleges in Sialkot

A list of major colleges in the cit ...

Colleges in cities of Sindh

Comprehensive lists of colleges in ...

Foreign Jobs in USA UK Australia and Canada

Many countries invite foreigners to ...

Strugle for Paksitan - General Knowledge

Genral articles to improvement gene ...

Schools in Faisalabad

Find comprehensive list of major sc ...

Foundation Public School A Level Campus

Foundation Public School A Level Ca ...

Schools in Leighton Buzzard

Find a comprehensive list of major ...

Schools in Dunstable

Find school in your location in Dun ...

Arithmetic

Lessons on Basic to Advance Arithme ...

GRE General Preparation

Prepare GRE General paper-base and ...