# PPT - Proportions Notes | Study Business Mathematics and Logical Reasoning & Statistics - CA Foundation

## CA Foundation: PPT - Proportions Notes | Study Business Mathematics and Logical Reasoning & Statistics - CA Foundation

The document PPT - Proportions Notes | Study Business Mathematics and Logical Reasoning & Statistics - CA Foundation is a part of the CA Foundation Course Business Mathematics and Logical Reasoning & Statistics.
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Ratio and Proportion,
Indices and Logarithm
Paper 4: Quantitative Aptitude- Mathematics Chapter 1
Part II: Proportion

Ms. Ritu Gupta, MA (Maths.)
Page 2

Ratio and Proportion,
Indices and Logarithm
Paper 4: Quantitative Aptitude- Mathematics Chapter 1
Part II: Proportion

Ms. Ritu Gupta, MA (Maths.)
Learning Objectives
What is
proportion
Properties of
Proportion
and its
application
2
Page 3

Ratio and Proportion,
Indices and Logarithm
Paper 4: Quantitative Aptitude- Mathematics Chapter 1
Part II: Proportion

Ms. Ritu Gupta, MA (Maths.)
Learning Objectives
What is
proportion
Properties of
Proportion
and its
application
2
Proportion
• An equality of two ratio is called a proportion / Four
quantities a, b, c, d are said to in the proportion if a : b = c : d
(also written as a : b :: c : d) i.e. a/b = c/d i.e. if ad = bc.
• The term a and d are called extremes, the term b and c are
called the means. The fourth term d is called the fourth
proportional of a, b and c taken in order.
• If a:b :: b:c, then a, b, c are called in continued proportion, b
is called the mean proportional between a and c and c is
called the third proportional of a and b.
3
Page 4

Ratio and Proportion,
Indices and Logarithm
Paper 4: Quantitative Aptitude- Mathematics Chapter 1
Part II: Proportion

Ms. Ritu Gupta, MA (Maths.)
Learning Objectives
What is
proportion
Properties of
Proportion
and its
application
2
Proportion
• An equality of two ratio is called a proportion / Four
quantities a, b, c, d are said to in the proportion if a : b = c : d
(also written as a : b :: c : d) i.e. a/b = c/d i.e. if ad = bc.
• The term a and d are called extremes, the term b and c are
called the means. The fourth term d is called the fourth
proportional of a, b and c taken in order.
• If a:b :: b:c, then a, b, c are called in continued proportion, b
is called the mean proportional between a and c and c is
called the third proportional of a and b.
3
Properties  - Cross-multiplication
4
Page 5

Ratio and Proportion,
Indices and Logarithm
Paper 4: Quantitative Aptitude- Mathematics Chapter 1
Part II: Proportion

Ms. Ritu Gupta, MA (Maths.)
Learning Objectives
What is
proportion
Properties of
Proportion
and its
application
2
Proportion
• An equality of two ratio is called a proportion / Four
quantities a, b, c, d are said to in the proportion if a : b = c : d
(also written as a : b :: c : d) i.e. a/b = c/d i.e. if ad = bc.
• The term a and d are called extremes, the term b and c are
called the means. The fourth term d is called the fourth
proportional of a, b and c taken in order.
• If a:b :: b:c, then a, b, c are called in continued proportion, b
is called the mean proportional between a and c and c is
called the third proportional of a and b.
3
Properties  - Cross-multiplication
4
Properties - Invertendo
5
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## Business Mathematics and Logical Reasoning & Statistics

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