#### Topics

##### Linear equations in two variables

- Linear Equation in Two Variables
- Simultaneous Linear Equations
- Elimination Method
- Substitution Method
- Cross - Multiplication Method
- Graphical Method of Solution of a Pair of Linear Equations
- Determinant of Order Two
- Cramer’s Rule
- Equations Reducible to a Pair of Linear Equations in Two Variables
- Simple Situational Problems
- Pair of Linear Equations in Two Variables

##### 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 A.P.
- 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

(1) If MV > FV then the share is at premium.

(2) If MV = FV then the share is at par.

(3) If MV < FV then the share is at discount.

For example : (1) suppose FV = Rs. 10, MV = Rs. 15 and 15 - 10 =Rs. 5

∴ The share is at premium of Rs. 5, as MV > FV

(2) suppose FV = Rs. 10, MV = Rs.10 and 10 - 10 = 0

∴The share is at par. As MV = FV

(3) suppose FV = Rs. 10, MV = Rs. 7 and 10 - 7 = 3

∴The share is at discount. As MV < FV.

Sum Invested : Total amount required to purchase the shares is sum invested.

Sum invested = Number of shares × MV**Ex**. (1) If 50 shares of FV Rs. 100 each are purchased for MVRs. 120. Find the sum

invested.**Solution** : Sum invested = number of shares× MV

= 50 × 120 = Rs. 6000

**Ex.** (2) If you want to purchase 50 shares of MV Rs. 50 each. What is the total

amount to be paid ?**Solution** : Sum invested = Number of shares × MV = 50 × 50 =Rs. 2500