Question

Differentiate
5x (x²+7)डिफरेंट शीट रोड टैक्स ​

Answer 1

Explanation:

In order to provide basic infrastructural facilities, the Indian Government charges a road tax to the citizens of India. This is levied by the Government in order to maintain and build roads, highways, bridges, railways tracks, etc. The tax is usually collected in multiple ways and it is levied by both the State Government as well as the Central Government. This is because the road tax norms vary from State to State and hence it varies a little when you travel between the States in India.

So, while buying a vehicle, you are required to pay a certain amount of money as Road Tax to the Government of India in order to ply the vehicle on the Indian roads. It has been mandated to pay the road, according to the Motor Vehicle Taxation Act.

Types of Road Tax in India

Various kinds of taxes are being levied on the vehicle by the respective state government as well as the Central Government. These kinds of taxes are the vital source of revenue for meeting the expenses for the central and state government.

According to Section 39 of the Motor Vehicle Act, 1988, all motor vehicles are levied road tax as stated by the State and the Central Government, also the charges for registration and insurance for the vehicle. When you buy a new vehicle, two prices which mainly needs to be considered, one is the on-road price and the other is the ex-showroom price. Typically, the on-road price is around 10% higher when compared to the ex-showroom price of your vehicle.

Road Tax is compulsory on all types of vehicles both for private and commercial purposes. The road tax is levied by:

State Government –

Once a year or for full lifetime tax for motor vehicles, like passenger and goods tax, applicable toll tax, State-specific VAT, etc.

Central Government –

Levies central excise customs duty, applicable GST and another extra cess basis the model and category of the vehicle, suitable central sales tax, etc.

Road tax calculator in India for 2 wheelers and 4 wheelers and how it is calculated

Every state in India has a different percentage and method to compute the Road Tax. However, the calculation of road tax or motor vehicle is dependent on the following factors:

Vehicle and its seating capacity – whether it is a 5-seater vehicle or a 7-seater one.

For example in Maharashtra, the Road tax calculatoris based on the seating capacity of the vehicle

The type of vehicle and its engine capacity – whether it is 2-wheeler, 3-wheeler or 4-wheeler

For example in Andhra Pradesh, the Road tax calculatoris based on the engine capacity of the vehicle for two-wheelers

The vehicle and its age- the IDV of the vehicle varies according to the age and so does the road tax

For example in Andhra Pradesh, the Road tax calculator is based on the age of the vehicle like for two-wheelers

Vehicle’s weight – and the capacity of the engine. There are slabs of the engine capacity in CC for the road tax calculation purpose

For example in Maharashtra, the Road tax calculatoris based on the engine capacity of the vehicle

Purpose of usage– whether commercial or personal. The Road Tax varies according to the usage of the vehicle.

Road Tax Calculation

The Road Tax calculator in India can be found out by the following method as shown below:

Type of Vehicle: Four-Wheeler/ Two-Wheeler/ Electric

Type of Fuel- Petrol/ Diesel/ LPG/ CNG

Invoice Price

Purchase Date

Vehicle Number

Road Tax calculator in India is calculated by the RTA (Regional Transport Authority) or the RTO (Regional Transport Office) based on the price of the vehicle as stated in the invoice and vehicle’s age.

An example is shown below:

Vehicle’s Price- INR 8,00,000

Present Depreciated Value: INR 7,50,000

Purchase Date:11/10/2014

Then the Approximate Road Tax @ 14%: INR 105000

This is just an approximation for you to understand the basic calculation norms. However, the actual road tax varies from State to State in India.

Road Tax Norms in the Different States

We will now demonstrate to you the rules for a few states in India for your better understanding as to what are the road tax applicable for various kinds of vehicles for you to understand how the Road Tax calculator in India works.

Delhi: The guidelines for vehicle tax in Delhi are as per the Delhi Motor Vehicle Taxation Act, 1962. The road tax for private or non-commercial vehicles is being paid once and for commercial and traveller vehicles, the road tax is paid monthly or bi-annually or annually. The percentage of tax for all private or non-commercial vehicles varies and the same.

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Answer 2

Answer:

dx/dt = 5x.(2x)+($x^{2}$+7).5

dx/dt = 10$x^{2}$+10$x^{2}$+35

dx/dt = 20$x^{2}$+35

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