300litre 1000rupees One Litre How Much

Mar 1, 2025 by ADMIN 39 views

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Understanding the Problem

To solve this problem, we need to understand the given information and what is being asked. We are given that 300 litres of water costs 1000 rupees. We need to find out how much one litre of water costs.

Breaking Down the Problem

Let's break down the problem step by step:

We have 300 litres of water.
The cost of 300 litres of water is 1000 rupees.
We need to find the cost of 1 litre of water.

Using Ratios to Solve the Problem

To solve this problem, we can use ratios. We know that 300 litres of water costs 1000 rupees. We can set up a ratio to represent this:

300 litres : 1000 rupees

We can simplify this ratio by dividing both numbers by their greatest common divisor, which is 100.

3 litres : 10 rupees

Now, we can use this simplified ratio to find the cost of 1 litre of water. We can set up a proportion:

3 litres / 10 rupees = 1 litre / x rupees

Where x is the cost of 1 litre of water.

Solving the Proportion

To solve the proportion, we can cross-multiply:

3x = 10

Now, we can divide both sides by 3 to solve for x:

x = 10/3

x = 3.33 rupees

Conclusion

Therefore, the cost of 1 litre of water is 3.33 rupees.

Real-World Applications

This problem has real-world applications in various fields, such as:

Business: Understanding the cost of a product per unit is crucial in business. It helps companies to determine their pricing strategy and make informed decisions about production and sales.
Economics: The concept of ratios and proportions is used extensively in economics to analyze and understand economic data.
Science: In science, ratios and proportions are used to describe the relationships between different quantities and to make predictions about future events.

Tips and Tricks

Here are some tips and tricks to help you solve problems like this:

Use ratios and proportions: Ratios and proportions are powerful tools for solving problems involving quantities and costs.
Simplify the problem: Simplify the problem by breaking it down into smaller parts and using ratios and proportions to solve it.
Check your units: Make sure to check your units to ensure that they are consistent throughout the problem.

Practice Problems

Here are some practice problems to help you practice solving problems like this:

Problem 1: A bottle of water costs 50 rupees. How much does 1 litre of water cost?
Problem 2: A bag of rice weighs 5 kg and costs 200 rupees. How much does 1 kg of rice cost?
Problem 3: A litre of milk costs 20 rupees. How much does 2 litres of milk cost?

Conclusion

In conclusion, solving problems involving quantities and costs requires a good understanding of ratios and proportions. By using these tools and simplifying the problem, we can solve complex problems like the one presented in this article.

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Q: What is the cost of 1 litre of water if 300 litres cost 1000 rupees?

A: To find the cost of 1 litre of water, we can use the ratio of 300 litres to 1000 rupees. We can simplify this ratio by dividing both numbers by their greatest common divisor, which is 100.

3 litres : 10 rupees

Now, we can use this simplified ratio to find the cost of 1 litre of water. We can set up a proportion:

3 litres / 10 rupees = 1 litre / x rupees

Where x is the cost of 1 litre of water.

Solving the proportion, we get:

x = 10/3

x = 3.33 rupees

Therefore, the cost of 1 litre of water is 3.33 rupees.

Q: How do I use ratios and proportions to solve problems like this?

A: To use ratios and proportions to solve problems like this, follow these steps:

Identify the given information: Identify the quantities and costs given in the problem.
Set up a ratio: Set up a ratio using the given information.
Simplify the ratio: Simplify the ratio by dividing both numbers by their greatest common divisor.
Use the simplified ratio to set up a proportion: Use the simplified ratio to set up a proportion.
Solve the proportion: Solve the proportion to find the unknown quantity.

Q: What are some real-world applications of ratios and proportions?

A: Ratios and proportions have many real-world applications in various fields, such as:

Business: Understanding the cost of a product per unit is crucial in business. It helps companies to determine their pricing strategy and make informed decisions about production and sales.
Economics: The concept of ratios and proportions is used extensively in economics to analyze and understand economic data.
Science: In science, ratios and proportions are used to describe the relationships between different quantities and to make predictions about future events.

Q: How do I check my units to ensure that they are consistent throughout the problem?

A: To check your units, follow these steps:

Identify the units: Identify the units used in the problem.
Check for consistency: Check that the units are consistent throughout the problem.
Convert units if necessary: Convert units if necessary to ensure consistency.

Q: What are some tips and tricks for solving problems like this?

A: Here are some tips and tricks to help you solve problems like this:

Use ratios and proportions: Ratios and proportions are powerful tools for solving problems involving quantities and costs.
Simplify the problem: Simplify the problem by breaking it down into smaller parts and using ratios and proportions to solve it.
Check your units: Make sure to check your units to ensure that they are consistent throughout the problem.

Q: Can you provide some practice problems to help me practice solving problems like this?

A: Here are some practice problems to help you practice solving problems like this:

Problem 1: A bottle of water costs 50 rupees. How much does 1 litre of water cost?
Problem 2: A bag of rice weighs 5 kg and costs 200 rupees. How much does 1 kg of rice cost?
Problem 3: A litre of milk costs 20 rupees. How much does 2 litres of milk cost?

Q: How do I know if I have solved the problem correctly?

A: To know if you have solved the problem correctly, follow these steps:

Check your units: Check that your units are consistent throughout the problem.
Check your calculations: Check that your calculations are correct.
Check your answer: Check that your answer makes sense in the context of the problem.

By following these steps, you can ensure that you have solved the problem correctly.