#### 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

Ved : In the invoice we see some new words, please explain them.

Teacher : CGST and SGST are two components of GST. CGST is Central Goods and Service Tax which is to be paid to the central government. Whereas SGST is State Goods and Service Tax which is to be paid to the state government.

Ria : What is in the right most corner with a long queue of numbers and alphabets?

Teacher : It is GSTIN, dealer’s indentification number. (GSTIN- Goods and Service Tax Identification Number). GSTIN is mandatory for the dealer whose annual turn over in previous financial year exceeds rupees 20 lacs. You know that PAN has 10 alpha-numerals, similarly GSTIN has 15 alphanumerals. It includes 10 digit PAN of the dealer.

e.g. : 27 A B C D E 1 2 3 4 H 1 Z 5

Jennie : There is a word HSN code in the tax invoice.

Teacher : All Goods are classified by giving numerical code called HSN code. It is to be quoted in the tax invoice. Full form of HSN is Harmonized System of Nomenclature.

Joseph : As usual there is name of the shop, address, state, date, invoice number, mobile number and e-mail ID also in the tax invoice.

Teacher : Now we will see how the GST is charged for each product (Goods) in the bill. Observe the given bill and fill in the boxes with the appropriate number. Price of 1 kg of Pedhe is 400, therefore cost of 500 gm. of Pedhe is 200.

- CGST at the rate of 2.5% is Rs. _____and SGST at the rate of ______% is Rs. 5.00.
- It means that the rate of GST on Pedhe is 2.5+2.5=5% and hence the total GST is Rs.10.
- The rate of GST on chocolate is % and hence the total GST is____Rs.
- Rate of GST on Ice-cream is %, hence the total cost of ice-cream is_____
- On butter CGST rate is % and SGST rate is also %. So GST rate on butter is ____%.

Aditya : Rate of GST on bread is 0 %. The rate of CGST and SGST is same for each product.

Ninad : Rates of GST are different for diferent products such as 0%, 5%, 12%, 18% and 28%.

Teacher : These rates are fixed and prescribed by the government. Now let us observe the tax invoice of services provided. Fill in the blanks with the help of given information.