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
Sub-duplicate ratio of a:b is Sqrt(a): Sqrt(b)
Triplicate Ratio of a:b is a3 :b3
Sub-triplicate ratio of a : b is a1/3 : b1/3
Product of proportions:
If a:b = c:d is a proportion, then
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 non-zero 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.