Understanding Percentage Changes

Question 1:
Scenario: Imagine you have 100 marbles, and you give away 20 marbles to your friends. What is the percentage change in the number of marbles you have?
Answer:
To calculate the percentage change, we use the formula:
Percentage Change = ((New Value - Old Value) / Old Value) * 100

Given:
Old Value = 100 marbles
New Value = 100 marbles - 20 marbles = 80 marbles

Percentage Change = ((80 - 100) / 100) * 100
Percentage Change = (-20 / 100) * 100
Percentage Change = -20%

Explanation: The percentage change is -20%, indicating a decrease of 20% in the number of marbles you have after giving away 20 marbles.

Question 2:
Scenario: If the price of a toy increases from ₹500 to ₹600, what is the percentage change in price?
Answer:
Given:
Old Price = ₹500
New Price = ₹600

Percentage Change = ((New Price - Old Price) / Old Price) * 100
Percentage Change = ((600 - 500) / 500) * 100
Percentage Change = (100 / 500) * 100
Percentage Change = 20%

Explanation: The percentage change is 20%, indicating a 20% increase in the price of the toy from ₹500 to ₹600.

Question 3:
Scenario: A bakery sells 120 cupcakes one day and 150 cupcakes the next day. What is the percentage change in the number of cupcakes sold?
Answer:
Given:
Old Number of Cupcakes = 120
New Number of Cupcakes = 150

Percentage Change = ((New - Old) / Old) * 100
Percentage Change = ((150 - 120) / 120) * 100
Percentage Change = (30 / 120) * 100
Percentage Change = 25%

Explanation: The percentage change is 25%, indicating a 25% increase in the number of cupcakes sold from 120 to 150.

These questions are designed to help you understand the concept of percentage changes in different real-world scenarios. Keep practicing to strengthen your calculation skills and grasp the concept effectively.