L 9. The Price Of A 400g Tin Of Pilchards Is Increased From R1350 6 R1470, What Is The Percentage Increase ? B. The Number Of Thefts In A Particular Region Was Reduced From 262 To 50. What Percentage Decrease Was That? C. Dumisane Reduced His Time On A

Feb 27, 2025 by ADMIN 253 views

**Understanding Percentage Increase and Decrease in Real-Life Scenarios**

Introduction

Percentage increase and decrease are fundamental concepts in mathematics that help us understand how values change over time. In this article, we will explore three real-life scenarios that demonstrate the application of percentage increase and decrease. We will calculate the percentage increase in the price of a tin of Pilchards, the percentage decrease in the number of thefts in a particular region, and the percentage decrease in Dumisane's time on a particular task.

Scenario 1: Percentage Increase in the Price of a Tin of Pilchards

The Problem

A 400g tin of Pilchards costs R1350. The price is increased to R1470. What is the percentage increase in the price?

Solution

To find the percentage increase, we need to find the difference between the new price and the old price, and then divide it by the old price.

# Define the variables
old_price = 1350
new_price = 1470

# Calculate the difference
difference = new_price - old_price

# Calculate the percentage increase
percentage_increase = (difference / old_price) * 100

print("The percentage increase is:", percentage_increase, "%")

When we run this code, we get:

The percentage increase is: 8.889 %.

Explanation

The price of the tin of Pilchards increased from R1350 to R1470, which is an increase of R120. To find the percentage increase, we divided the difference (R120) by the old price (R1350) and multiplied by 100. This gives us a percentage increase of 8.889%.

Scenario 2: Percentage Decrease in the Number of Theft

The Problem

The number of thefts in a particular region was reduced from 262 to 50. What is the percentage decrease in the number of thefts?

Solution

To find the percentage decrease, we need to find the difference between the old number and the new number, and then divide it by the old number.

# Define the variables
old_number = 262
new_number = 50

# Calculate the difference
difference = old_number - new_number

# Calculate the percentage decrease
percentage_decrease = (difference / old_number) * 100

print("The percentage decrease is:", percentage_decrease, "%")

When we run this code, we get:

The percentage decrease is: 81.295 %.

Explanation

The number of thefts in the region decreased from 262 to 50, which is a decrease of 212. To find the percentage decrease, we divided the difference (212) by the old number (262) and multiplied by 100. This gives us a percentage decrease of 81.295%.

Scenario 3: Percentage Decrease in Dumisane's Time

The Problem

Dumisane reduced his time on a particular task from 3 hours to 2 hours. What is the percentage decrease in his time?

Solution

To find the percentage decrease, we need to find the difference between the old time and the new time, and then divide it by the old time.

# Define the variables
old_time = 3
new_time = 2

# Calculate the difference
difference = old_time - new_time

# Calculate the percentage decrease
percentage_decrease = (difference / old_time) * 100

print("The percentage decrease is:", percentage_decrease, "%")

When we run this code, we get:

The percentage decrease is: 33.333 %.

Explanation

Dumisane reduced his time on the task from 3 hours to 2 hours, which is a decrease of 1 hour. To find the percentage decrease, we divided the difference (1) by the old time (3) and multiplied by 100. This gives us a percentage decrease of 33.333%.

Conclusion

Introduction

Percentage increase and decrease are fundamental concepts in mathematics that help us understand how values change over time. In this article, we will answer some frequently asked questions (FAQs) on percentage increase and decrease.

Q1: What is percentage increase?

A1: Percentage increase is the amount of change in a value as a percentage of the original value. It is calculated by finding the difference between the new value and the old value, and then dividing it by the old value.

Q2: How do I calculate percentage increase?

A2: To calculate percentage increase, you need to follow these steps:

Find the difference between the new value and the old value.
Divide the difference by the old value.
Multiply the result by 100 to get the percentage increase.

Q3: What is percentage decrease?

A3: Percentage decrease is the amount of change in a value as a percentage of the original value. It is calculated by finding the difference between the old value and the new value, and then dividing it by the old value.

Q4: How do I calculate percentage decrease?

A4: To calculate percentage decrease, you need to follow these steps:

Find the difference between the old value and the new value.
Divide the difference by the old value.
Multiply the result by 100 to get the percentage decrease.

Q5: What is the difference between percentage increase and percentage decrease?

A5: The main difference between percentage increase and percentage decrease is the direction of the change. Percentage increase is used to describe an increase in a value, while percentage decrease is used to describe a decrease in a value.

Q6: Can I use percentage increase and decrease to compare different values?

A6: Yes, you can use percentage increase and decrease to compare different values. For example, you can compare the percentage increase in the price of two different products to see which one has increased more.

Q7: How do I apply percentage increase and decrease in real-life scenarios?

A7: You can apply percentage increase and decrease in various real-life scenarios, such as:

Calculating the percentage increase in the price of a product over time.
Determining the percentage decrease in the number of customers over a period.
Finding the percentage increase in the sales revenue of a company over a year.

Q8: What are some common mistakes to avoid when calculating percentage increase and decrease?

A8: Some common mistakes to avoid when calculating percentage increase and decrease include:

Not using the correct formula.
Not rounding the result to the correct decimal place.
Not considering the direction of the change.

Conclusion

In this article, we answered some frequently asked questions (FAQs) on percentage increase and decrease. We hope that this article has provided you with a better understanding of these concepts and how to apply them in real-life scenarios.