# : What is the cost of $3$ quintals $20$ kg of coal, if $3$ quintals cost Rs.$3900$?

Answer

Verified

381k+ views

Hint: We are given the cost of 3 quintals which is Rs. 3900. Find the cost of $1$quintal. So we know $1$quintal$=100$kg . So you have got the cost for $100$kg. Then find the cost for $20$kg. Try it and you will get the answer.

Complete step-by-step answer:

Mass is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied. An object's mass also determines the strength of its gravitational attraction to other bodies.

The basic SI unit of mass is the kilogram (kg).

In everyday usage, mass and "weight" are often used interchangeably. For instance, a person's weight may be stated as $75$kg. In a constant gravitational field, the weight of an object is proportional to its mass, and it is unproblematic to use the same unit for both concepts.

But because of slight differences in the strength of the Earth's gravitational field at different places, the distinction becomes important for measurements with a precision better than a few percent, and places far from the surface of the Earth, such as in space or on other planets. Conceptually, "mass" (measured in kilograms) refers to an intrinsic property of an object, whereas "weight" (measured in newtons) measures an object's resistance to deviating from its natural course of free fall, which can be influenced by the nearby gravitational field. No matter how strong the gravitational field, objects in free fall are weightless, though they still have mass.

The quintal or center is a historical unit of mass in many countries which is usually defined as $100$ base units, such as pounds or kilograms. It is a traditional unit of weight in France, Portugal, and Spain and their former colonies. It is commonly used for grain prices in wholesale markets in India, where $1$quintal$=100$kg.

It is given in the question that the cost of $3$quintals is Rs $3900$.

It is asked to find the cost of $3$ quintals $20$kg.

We know $1$quintal$=100$kg.

So the cost for $1$ a quintal $=Rs.\dfrac{3900}{3}=Rs.1300$

The cost for $1$ quintal is Rs.$1300$.

Here $100$kg costs Rs$1300$.

So, $1$kg of coal costs$=Rs.\dfrac{1300}{100}=Rs.13$

So, $20$kg of coal costs$=Rs.20\times 13=$Rs.$260$.

So for the cost of $3$ quintals $20$kg$=Rs.(1300\times 3+20\times 13)=Rs.(3900+260)=Rs.4160$.

Hence, the cost for $3$ quintals $20$kg for coal is Rs$4160$.

Note: Carefully read the question. You should know the conversion that $1$ quintal$=100$kg.

Don’t make mistakes while conversion. Most students make the mistakes in conversion itself. Keep in mind first you have to find the cost for $1$kg and quintal.

Complete step-by-step answer:

Mass is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied. An object's mass also determines the strength of its gravitational attraction to other bodies.

The basic SI unit of mass is the kilogram (kg).

In everyday usage, mass and "weight" are often used interchangeably. For instance, a person's weight may be stated as $75$kg. In a constant gravitational field, the weight of an object is proportional to its mass, and it is unproblematic to use the same unit for both concepts.

But because of slight differences in the strength of the Earth's gravitational field at different places, the distinction becomes important for measurements with a precision better than a few percent, and places far from the surface of the Earth, such as in space or on other planets. Conceptually, "mass" (measured in kilograms) refers to an intrinsic property of an object, whereas "weight" (measured in newtons) measures an object's resistance to deviating from its natural course of free fall, which can be influenced by the nearby gravitational field. No matter how strong the gravitational field, objects in free fall are weightless, though they still have mass.

The quintal or center is a historical unit of mass in many countries which is usually defined as $100$ base units, such as pounds or kilograms. It is a traditional unit of weight in France, Portugal, and Spain and their former colonies. It is commonly used for grain prices in wholesale markets in India, where $1$quintal$=100$kg.

It is given in the question that the cost of $3$quintals is Rs $3900$.

It is asked to find the cost of $3$ quintals $20$kg.

We know $1$quintal$=100$kg.

So the cost for $1$ a quintal $=Rs.\dfrac{3900}{3}=Rs.1300$

The cost for $1$ quintal is Rs.$1300$.

Here $100$kg costs Rs$1300$.

So, $1$kg of coal costs$=Rs.\dfrac{1300}{100}=Rs.13$

So, $20$kg of coal costs$=Rs.20\times 13=$Rs.$260$.

So for the cost of $3$ quintals $20$kg$=Rs.(1300\times 3+20\times 13)=Rs.(3900+260)=Rs.4160$.

Hence, the cost for $3$ quintals $20$kg for coal is Rs$4160$.

Note: Carefully read the question. You should know the conversion that $1$ quintal$=100$kg.

Don’t make mistakes while conversion. Most students make the mistakes in conversion itself. Keep in mind first you have to find the cost for $1$kg and quintal.

Recently Updated Pages

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Find the values of other five trigonometric ratios class 10 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

What is the past tense of read class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

What is pollution? How many types of pollution? Define it

Give 10 examples for herbs , shrubs , climbers , creepers

Which state has the longest coastline in India A Tamil class 10 social science CBSE

Write an application to the principal requesting five class 10 english CBSE