Topics
Linear equations in two variables
- Introduction to linear equations in two variables
- Methods of solving linear equations in two variables
- Simultaneous method
- Simultaneous method
- Substitution Method
- Cross - Multiplication Method
- Graphical Method
- Determinant method
- Determinant of Order Two
- Equations Reducible to a Pair of Linear Equations in Two Variables
- Simple Situational Problems
- Pair of Linear Equations in Two Variables
- Application of simultaneous equations
- Simultaneous method
Quadratic Equations
- Quadratic Equations
- Roots of a Quadratic Equation
- Solutions of Quadratic Equations by Factorization
- Solutions of Quadratic Equations by Completing the Square
- Formula for Solving a Quadratic Equation
- Nature of Roots of a Quadratic Equation
- The Relation Between Roots of the Quadratic Equation and Coefficients
- To Obtain a Quadratic Equation Having Given Roots
- Application of Quadratic Equation
Arithmetic Progression
- Introduction to Sequence
- Terms in a sequence
- Arithmetic Progression
- General Term of an Arithmetic Progression
- Sum of First ‘n’ Terms of an Arithmetic Progressions
- Arithmetic Progressions Examples and Solutions
- Geometric Progression
- General Term of an Geomatric Progression
- Sum of the First 'N' Terms of an Geometric Progression
- Geometric Mean
- Arithmetic Mean - Raw Data
- Concept of Ratio
Financial Planning
Probability
- Probability - A Theoretical Approach
- Basic Ideas of Probability
- Random Experiments
- Outcome
- Equally Likely Outcomes
- Sample Space
- Event and Its Types
- Probability of an Event
- Type of Event - Elementry
- Type of Event - Complementry
- Type of Event - Exclusive
- Type of Event - Exhaustive
- Concept Or Properties of Probability
- Addition Theorem
Statistics
- Tabulation of Data
- Inclusive and Exclusive Type of Tables
- Ogives (Cumulative Frequency Graphs)
- Applications of Ogives in Determination of Median
- Relation Between Measures of Central Tendency
- Introduction to Normal Distribution
- Properties of Normal Distribution
- Concepts of Statistics
- Mean of Grouped Data
- Method of Finding Mean for Grouped Data: Direct Method
- Method of Finding Mean for Grouped Data: Deviation Or Assumed Mean Method
- Method of Finding Mean for Grouped Data: the Step Deviation Method
- Median of Grouped Data
- Mode of Grouped Data
- Concept of Pictograph
- Presentation of Data
- Graphical Representation of Data as Histograms
- Frequency Polygon
- Concept of Pie Graph (Or a Circle-graph)
- Interpretation of Pie Diagram
- Drawing a Pie Graph
Notes
Ex. Suppose if the face value of the share is Rs.100 and market value is Rs.150. Let the rate of brokerage be 0.5%. What amount should one pay for purchasing 100 such shares ? What amount should one receive after selling 100 such shares ?
Situation (I) At the time of buying shares:
Buying price of 1 share = MV + Brokerage
= 150 + 0.5% of 150
= 150 + 0.75
= Rs.150.75
If someone purchases 100 such shares the total cost is 100 ×150.75 =Rs. 15075.
Here Rs. 15000 is the share price and Rs. 75 is the brokerage paid.
Situation (II) At the time of selling shares.
Selling price per share = MV - Brokerage
= 150 - 5% of 150 = 150 - 0.75
=Rs.149.25.
If someone sells 100 such shares, he will get,
100 × 150 - Rs. 75 = Rs. 14925 after selling 100 such shares.
Note:
- Brokerage is always calculated on Market value of shares.
- In the contract note of sale-purchase of shares, price of one share is shown with brokerage and taxes.
Definition
Brokerage : We directly can't go to the stock market and buy or sell shares, only the registered members or organization (agency) of the stock market can buy or sell on our behalf. These members are called 'Share Brokers'. For catering the service of buying and selling of shares they charge some amount which is called ‘Brokerage’ Brokerage is paid on the Market value of the share.
