Percentage Change Examples
Example 1: A boy obtained 820 marks in an examination out of 900 marks. Calculate the percentage of the marks obtained by the boy.
Solution:
Given,
- Number of marks obtained = 820
- Maximum marks = 900
Percentage of marks = (820/900) × 100
Percentage = (0.9112) × 100
Hence, the percentage of marks obtained by the boy is 91.12%
Example 2: Geeta’s weight is 25% more than that of Fathima. If Fathima’s weight is 56 kg, then how much percent of Fathima’s weight is less than that of Geetha?
Solution:
Given,
- Fathima’s weight = 60 kg
- Geetha’s weight is 25% more than that of Fathima.
Hence, Geetha’s weight = 56 + 56 × (¼) = (56 + 16) kg = 72 kg.
Required percentage = [(72 – 56)/72] × 100 =22.22%
Hence, the weight of Fathima is 22.22% less than that of Geetha.
Example 3: Calculate the percentage increase if the price of the cooking oil of ₨ 150 increased to ₨ 180.
Solution:
Given,
- Original price of the oil = ₨ 150
- New price of the oil = ₨ 180
Change in the value of price = ₨ 180 – ₨ 150 = ₨ 30
Percentage increase = [(change in value)/original value] × 100
Percentage increase = (30/150) × 100 = 20 %
Hence, the percentage increase in the price of the cooking oil is 20%
Example 4: The price of a mobile phone increases every year by 20%. If the present price is ₨ 15000, then what was the price (in ₨.) 3 years ago?
Solution:
Let the price of the mobile phone 3 years ago be P
Price of the mobile phone, 2 years ago = P + 20% of P = P + (20/100)P = 1.20P
Price of the mobile phone, one year ago = 1.20 P + 20% of (1.2 P) = 1.20 P + 0.24P = 1.44 P
Present price of the mobile = 1.44 P + 20% of (1.44 P) = 1.44 P + 0.288 P = 1.728 P
1. 728 P = 15000
P = ₨ 8680.55
Hence, the price of the mobile phone 3 years ago was ₨ 8680.55
Example 5: Ravi’s savings amount was ₨ 5000 in the month of January. His savings decreased to ₨ 3800 in the month of February. Calculate the percentage decrease in his savings.
Solution:
Given,
- Ravi’s savings amount in January = 5000
- Ravi’s savings amount in February = 3800
Decrease in his savings = 5000 – 3800 = 1200
Percentage decrease = [(decreased savings)/original value] × 100
Now, percentage decrease in his savings = (1200/5000) 100 = 24%
Example 6: A number is increased by 25% and then decreased by 25%. Find the net increase or decrease percent.
Solution:
Let the number be 100
Number is increased by 25%
We know that, if a value is increased by x% then the new value is (100 + x)% of the original amount.
Now, the increased number = (100 + 25)% of 100 = (125/100) × 100 = 125
Number is now decreased by 25%
We know that, if a value is decreased by x%, then the new value is (100 – x)% of the original amount.
Now, the decreased number = (100 – 25)% of 125 = (75/100) ×125 = 93.75
Net decrease = 100 – 93.75 = 6.25
Hence, the number is decreased by 6.25%
Example 7: What is a 20% increase from 80?
Solution:
If a number is increased by 20% it is 120% of itself
Now,
- 120% of 80 = 120 / 100 × 80 = 96
Important Maths Formulas Links:
Percentage Change – Formula, Examples, How to Find Percentage Change
Percentage Change is the ratio of change in the value to the original value multiplied by 100. Percentage is defined as a number or ratio expressed as a fraction of 100. The word percentage is derived from the Latin word per centum which means “by the hundred”.
The percentage is depicted using the symbol “%“. Percentage change is found when there is a change in any number. Percentage Increase and Percentage Decrease both are calculated in Percentage Change.
In this article, we will learn about, Percentage Change, Percentage Formula, Percentage Change Calculator, Percentage Change Formula, Examples of Percentage Increase & Decrease, etc in detail.
Table of Content
- What is Percent Change?
- Percentage Change Definition
- Percentage Formula
- Percentage Change Formula
- Percentage Increase
- Percentage Decrease
- Percent Change Calculator
- How to Find Percent Change?
- Articles related to Percentage Change:
- How to Change to Percent?
- Percentage Change to Fraction
- Percentage Change Examples
- Practice Problems on Percentage Change