Ratio and Proportions is one of the easiest concepts in CAT. It is just an extension of high school mathematics.
If a/p= b/q = c/r =d/s =...,then a:b:c:d:...=p:q:r:s:...
Types of ratios:
Duplicate Ratio of a:b is a2 :b2
Subduplicate ratio of a:b is Sqrt(a): Sqrt(b)
Triplicate Ratio of a:b is a3 :b3
Subtriplicate ratio of a : b is a^{1/3} : b^{1/3}
Product of proportions:
If a:b = c:d is a proportion, then
Variations:
EduRev's Tip: If a/b = c/d = e/f = k
Given two variables x and y, y is (directly) proportional to x (x and y vary directly, or x and y are in direct variation) if there is a nonzero constant k such that y = kx. It is denoted by y ∝ x
Two variables are inversely proportional (or varying inversely, or in inverse variation, or in inverse proportion or reciprocal proportion) if there exists a nonzero constant k such that y = k/x.
183 videos152 docs113 tests

Important Formulae: Interests Doc  1 pages 
Important Concepts & Formulas: Logarithms Doc  10 pages 
Examples: Probability Doc  2 pages 
1. What is a ratio in mathematics and how is it used? 
2. How do you simplify a ratio? 
3. What is the difference between a direct proportion and an inverse proportion? 
4. How do you solve a proportion problem? 
5. Can ratios and proportions be used in reallife situations? 
183 videos152 docs113 tests

Important Formulae: Interests Doc  1 pages 
Important Concepts & Formulas: Logarithms Doc  10 pages 
Examples: Probability Doc  2 pages 

Explore Courses for CAT exam
