#### Topics

##### Linear equations in two variables

- Linear Equations in Two Variables
- Linear Equations in Two Variables Applications
- Cross - Multiplication Method
- Substitution Method
- Elimination Method
- Graphical Method of Solution of a Pair of Linear Equations
- Determinant of Order Two
- Equations Reducible to a Pair of Linear Equations in Two Variables
- Simple Situational Problems
- Inconsistency of Pair of Linear Equations
- Cramer'S Rule
- Consistency of Pair of Linear Equations
- Pair of Linear Equations in Two Variables

##### Quadratic Equations

- Quadratic Equations Examples and Solutions
- Quadratic Equations
- Roots of a Quadratic Equation
- Nature of Roots
- Relation Between Roots of the Equation and Coefficient of the Terms in the Equation Equations Reducible to Quadratic Form
- Solutions of Quadratic Equations by Factorization
- Solutions of Quadratic Equations by Completing the Square
- Formula for Solving a Quadratic Equation

##### Arithmetic Progression

- Introduction to Sequence
- Geometric Mean
- Arithmetic Progressions Examples and Solutions
- Arithmetic Progression
- Geometric Progression
- General Term of an Arithmetic Progression
- General Term of an Geomatric Progression
- Sum of First n Terms of an AP
- Sum of the First 'N' Terms of an Geometric Progression
- Arithmetic Mean - Raw Data
- Terms in a sequence
- Concept of Ratio

##### Financial Planning

##### Probability

- Basic Ideas of Probability
- Probability - A Theoretical Approach
- Type of Event - Elementry
- Type of Event - Complementry
- Type of Event - Exclusive
- Type of Event - Exhaustive
- Equally Likely Outcomes
- Probability of an Event
- Concept Or Properties of Probability
- Addition Theorem
- Random Experiments
- Sample Space
- Basic Ideas of Probability

##### Statistics

- Tabulation of Data
- Inclusive and Exclusive Type of Tables
- Median of Grouped Data
- Mean of Grouped Data
- Graphical Representation of Data as Histograms
- Frequency Polygon
- Concept of Pie Graph (Or a Circle-graph)
- Concept of Pie Graph (Or a Circle-graph)
- 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
- Graphical Representation of Data as Histograms
- Mode of Grouped Data

#### 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.