#### 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

Share brokers provide services for purchase and sale of shares for their clients. These services are charged under GST. Rate of GST is 18% on brokerage. You can find the SAC for brokerage services.

Note :- For the safety of the investors, there are other nominal charges besides GST on brokerage. These are Security Transaction Tax (STT), SEBI charge, stamp duty etc. Here we will only consider GST on brokerage.

**Ex.** Bashirkhan purchased 100 shares of MV Rs. 40. Brokerage paid at the rate of 0.5% and rate of GST on brokerage is 18%. Find the total amount he paid for the share purchase.

**Solution** : Value of 100 shares = 40 × 100 = Rs. 4000.

Brokerage per share =`0.5/100xx40=Rs. 0.20`

∴ Cost of one share = MV + Brokerage

= 40 + 0.20 =Rs. 40.20.

∴ Cost of 100 shares = 40.20 × 100 = Rs. 4020

∴Brokerage on 100 share = 0.20 × 100 = Rs. 20

∴ GST =`18/100xx20`

=Rs. 3.60

**Ans. :** Bashirkhan paid Rs. 4020 + Rs. 3.60 = Rs. 4023.60 for 100 shares.