Finding the Amount Paid by Cheque

Oct 13, 2025 by sorusgentrification.com 147 views

Understanding the Problem

In this problem, we are given that a person purchased an LED TV set for 60,000. The person paid 75% of the amount in cash and the remaining amount was paid by cheque. Our goal is to find the amount of money paid by cheque.

Breaking Down the Problem

To solve this problem, we need to first find 75% of the total amount paid in cash. We can then subtract this amount from the total amount to find the amount paid by cheque.

Calculating 75% of the Total Amount

To calculate 75% of the total amount, we can multiply the total amount by 0.75.

75% of 60,000 = 0.75 x 60,000 = 45,000

Finding the Amount Paid by Cheque

Now that we have found 75% of the total amount, we can subtract this amount from the total amount to find the amount paid by cheque.

Amount paid by cheque = Total amount - Amount paid in cash = 60,000 - 45,000 = 15,000

Conclusion

In this problem, we used the concept of percentages to find the amount paid by cheque. We first calculated 75% of the total amount and then subtracted this amount from the total amount to find the amount paid by cheque. This problem demonstrates the importance of understanding percentages in real-life scenarios.

Real-World Applications

Understanding percentages is crucial in various real-world applications, such as finance, business, and economics. For example, when calculating interest rates, understanding percentages is essential to determine the amount of interest paid on a loan or investment.

Tips and Tricks

When solving percentage problems, it's essential to remember the following tips and tricks:

Always read the problem carefully and understand what is being asked.
Use a calculator to simplify calculations, especially when dealing with large numbers.
Break down the problem into smaller, manageable parts to make it easier to solve.
Use visual aids, such as diagrams or charts, to help illustrate the problem and solution.

Common Mistakes to Avoid

When solving percentage problems, it's essential to avoid the following common mistakes:

Not reading the problem carefully and misunderstanding the question.
Not using a calculator to simplify calculations, leading to errors.
Not breaking down the problem into smaller parts, making it difficult to solve.
Not checking the solution for accuracy, leading to incorrect answers.

Conclusion

In conclusion, solving percentage problems requires a clear understanding of the concept of percentages and the ability to apply it to real-life scenarios. By following the tips and tricks outlined in this article and avoiding common mistakes, you can become proficient in solving percentage problems and apply this skill to various areas of your life.

Additional Resources

For further practice and review, we recommend the following additional resources:

Khan Academy: Percentage Problems
Mathway: Percentage Problems
IXL: Percentage Problems

Final Thoughts

Frequently Asked Questions

Q: What is a percentage?

A: A percentage is a way to express a value as a fraction of 100. It is calculated by dividing a value by a total value and multiplying by 100.

Q: How do I calculate a percentage?

A: To calculate a percentage, you can use the following formula:

Percentage = (Value / Total Value) x 100

Q: What is the difference between a percentage and a proportion?

A: A percentage is a way to express a value as a fraction of 100, while a proportion is a statement that two ratios are equal. For example, 25% is equal to 1/4, which is a proportion.

Q: How do I solve a percentage problem?

A: To solve a percentage problem, you need to follow these steps:

Read the problem carefully and understand what is being asked.
Identify the value and the total value.
Calculate the percentage using the formula: Percentage = (Value / Total Value) x 100
Solve for the unknown value.

Q: What is the formula for finding a percentage of a value?

A: The formula for finding a percentage of a value is:

Percentage of Value = (Percentage / 100) x Value

Q: How do I find the percentage increase or decrease?

A: To find the percentage increase or decrease, you can use the following formula:

Percentage Increase or Decrease = ((New Value - Old Value) / Old Value) x 100

Q: What is the difference between a percentage increase and a percentage decrease?

A: A percentage increase is an increase in value, while a percentage decrease is a decrease in value.

Q: How do I calculate a percentage of a percentage?

A: To calculate a percentage of a percentage, you can use the following formula:

Percentage of Percentage = (Percentage 1 / 100) x Percentage 2

Q: What is the formula for finding the percentage of a percentage of a value?

A: The formula for finding the percentage of a percentage of a value is:

Percentage of Percentage of Value = (Percentage 1 / 100) x (Percentage 2 / 100) x Value

Q: How do I solve a problem involving multiple percentages?

A: To solve a problem involving multiple percentages, you need to follow these steps:

Read the problem carefully and understand what is being asked.
Identify the percentages and the values involved.
Calculate the percentage of each value using the formula: Percentage of Value = (Percentage / 100) x Value
Solve for the unknown value.

Conclusion

Additional Resources

For further practice and review, we recommend the following additional resources:

Khan Academy: Percentage Problems
Mathway: Percentage Problems
IXL: Percentage Problems

Final Thoughts

Solving percentage problems is an essential skill that can be applied to various areas of your life. By understanding the concept of percentages and practicing with real-life scenarios, you can become proficient in solving percentage problems and achieve success in your academic and professional pursuits.