Co-ordinate Geometry Distance and Section Formula
Shares and Dividends
- Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
- Areas of Sector and Segment of a Circle
- Tangent Properties - If a Line Touches a Circle and from the Point of Contact, a Chord is Drawn, the Angles Between the Tangent and the Chord Are Respectively Equal to the Angles in the Corresponding Alternate Segments
- Tangent Properties - If a Chord and a Tangent Intersect Externally, Then the Product of the Lengths of Segments of the Chord is Equal to the Square of the Length of the Tangent from the Point of Contact to the Point of Intersection
- Tangent to a Circle
- Number of Tangents from a Point on a Circle
- Chord Properties - a Straight Line Drawn from the Center of a Circle to Bisect a Chord Which is Not a Diameter is at Right Angles to the Chord
- Chord Properties - the Perpendicular to a Chord from the Center Bisects the Chord (Without Proof)
- Theorem: Equal chords of a circle are equidistant from the centre.
- Theorem : The Chords of a Circle Which Are Equidistant from the Centre Are Equal.
- Chord Properties - There is One and Only One Circle that Passes Through Three Given Points Not in a Straight Line
- Arc and Chord Properties - the Angle that an Arc of a Circle Subtends at the Center is Double that Which It Subtends at Any Point on the Remaining Part of the Circle
- Theorem: Angles in the Same Segment of a Circle Are Equal.
- Arc and Chord Properties - Angle in a Semi-circle is a Right Angle
- Arc and Chord Properties - If Two Arcs Subtend Equal Angles at the Center, They Are Equal, and Its Converse
- Arc and Chord Properties - If Two Chords Are Equal, They Cut off Equal Arcs, and Its Converse (Without Proof)
- Arc and Chord Properties - If Two Chords Intersect Internally Or Externally Then the Product of the Lengths of the Segments Are Equal
- Cyclic Properties
- Tangent Properties - If Two Circles Touch, the Point of Contact Lies on the Straight Line Joining Their Centers
Ratio and Proportion
Gst (Goods and Services Tax)
- Sales Tax, Value Added Tax, and Good and Services Tax
- Computation of Tax
- Concept of Discount
- List Price
- Concepts of Cost Price, Selling Price, Total Cost Price, and Profit and Loss, Discount, Overhead Expenses and GST
- Basic/Cost Price Including Inverse Cases.
- Selling Price
- Goods and Service Tax (Gst)
- Gst Tax Calculation
- Gst Tax Calculation
- Input Tax Credit (Itc)
- Median of Grouped Data
- Graphical Representation of Data as Histograms
- Ogives (Cumulative Frequency Graphs)
- Concepts of Statistics
- Graphical Representation of Data as Histograms
- Graphical Representation of Ogives
- Finding the Mode from the Histogram
- Finding the Mode from the Upper Quartile
- Finding the Mode from the Lower Quartile
- Finding the Median, upper quartile, lower quartile from the Ogive
- Calculation of Lower, Upper, Inter, Semi-Inter Quartile Range
- Concept of Median
- Mean of Grouped Data
- Mean of Ungrouped Data
- Median of Ungrouped Data
- Mode of Ungrouped Data
- Mode of Grouped Data
- Mean of Continuous Distribution
Co-ordinate Geometry Equation of a Line
- Slope of a Line
- Concept of Slope
- Equation of a Line
- Various Forms of Straight Lines
- General Equation of a Line
- Slope – Intercept Form
- Two - Point Form
- Geometric Understanding of ‘m’ as Slope Or Gradient Or tanθ Where θ Is the Angle the Line Makes with the Positive Direction of the x Axis
- Geometric Understanding of c as the y-intercept Or the Ordinate of the Point Where the Line Intercepts the y Axis Or the Point on the Line Where x=0
- Conditions for Two Lines to Be Parallel Or Perpendicular
- Simple Applications of All Co-ordinate Geometry.
- Sales tax (ST): Sales tax (ST) is charged by the government on the sale of an item.
- Value-added tax: A value-added tax, known in some countries as a goods and services tax, is a type of tax that is assessed incrementally. It is levied on the price of a product or service at each stage of production, distribution, or sale to the end consumer, except a business is the end consumer which will reclaim this input value.
- Goods and Services Tax (GST): Goods and Services Tax is an indirect tax used in India on the supply of goods and services.
- Sales tax = Tax % of Bill Amount
Sales Tax, Value-added tax, Goods and Services Tax:
Sales tax (ST) is charged by the government on the sale of an item. It is collected by the shopkeeper from the customer and given to the government. This is, therefore, always on the selling price of an item and is added to the value of the bill.
Sales tax = Tax % of Bill Amount
A value-added tax, known in some countries as a goods and services tax, is a type of tax that is assessed incrementally. It is levied on the price of a product or service at each stage of production, distribution, or sale to the end consumer, except a business is the end consumer which will reclaim this input value. It is similar to and is often compared to a sales tax.
- Goods and Services Tax (GST) is an indirect tax used in India on the supply of goods and services. Goods and services are divided into five different tax slabs for collection of tax - 0%, 5%, 12%, 18% and 28%. However, petroleum products, alcoholic drinks, and electricity are not taxed under GST and instead are taxed separately by the individual state governments, as per the previous tax system. From July 1, 2017, the Government of India introduced GST. The tax came into effect from 1 July 2017 through the implementation of the One Hundred and First Amendment of the Constitution of India by the Indian government. The GST replaced existing multiple taxes levied by the central and state governments. The tax rates, rules, and regulations are governed by the GST Council which consists of the finance ministers of the central government and all the states.
Waheeda bought an air cooler for ₹ 3300 including a tax of 10%. Find the price of the air cooler before VAT was added.
Shaalaa.com | Sales Tax, Value Added Tax, and Good and Services Tax
The marked price of an article is Rs 900 and the rate of sales tax on it is 6%. If on selling the article at its marked price, a retailer has to pay VAT = Rs 4.80; find the money paid by him (including sales tax) for purchasing this article.
Anurag went to a shop to buy a leather coat costing Rs 2,654. The sales tax on it is 9%. He requested the shopkeeper to reduce the price to such an extent that he has to pay only Rs 2,616 including the sales tax. Find the reduction given by the shopkeeper.
An electronic showroom increased the marked price of a new gadget by 12% and charged 12% sales tax on the new price. If the selling price of the gadget is now Rs 21,952, find the marked price of the gadget before increase.
A shopkeeper buys an article for Rs. 7,500 and increases its price. He sells this article for Rs. 9,156 including 9% sales tax on the increased price. Calculate by how much per cent the shopkeeper increases the price of the article.
Mrs. Sheela bought a washing machine marked at Rs. 9,375. The rate of sales tax is 6%. She asks the shopkeeper to reduce the price of the washing machine to such an extent that she has to pay Rs. 9,275 inclusive of sales tax. Find the reduction needed in the price of the washing machine.
A shopkeeper purchases an article for Rs. 6,200 and sells it to a customer for Rs. 8500. If the sales tax (under VAT) is 8%; find the VAT paid by the shopkeeper.
The catalogue price of a computer set is Rs. 42,000. The shopkeeper gives a discount of
10% on the listed price. He further gives an off-season discount of 5% on the discounted
price. However, sales tax at 8% is charged on the remaining price after the two successive
1)the amount of sales tax a customer has to pay
2)the total price to be paid by the customer for the computer set.