[Chapter Name] - Basic Formula of Percentage
[Chapter No.] - 2[Chapter DP Name] – Basic Formula of Percentage
[Title] – Percentage Formula
[Keywords] – Percentage formula, Percent
age Calculation, How to calculate percentage
[Description] – The Percentage
formula is used to express a number as fraction of 100
The general formula to calculate
percentage is:
Percentage
= ( Part / Whole ) X 100
For
example, if a student scores 80 marks out of 100 in a test, their percentage
is:
(80/100)
X 100 = 80%
o Formula for Percentage Increase:
Percentage
Increase = (New Value – Old Value / Old Value) X 100
o Formula for Percentage Decrease:
Percentage
Increase = (Old Value – New Value / Old Value) X 100
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[Chapter Name] -
Conversions Between Fractions, Decimals and
Percentages
[Chapter No.] - 3
[Chapter DP Name] – Conversions
Between Fractions, Decimals and Percentages
[Title] – Percentage Conversions
[Keywords] – Percentage conversion,
Convert fraction to percentage, convert decimal to percentage
[Description] – Percentage
conversion refers to transforming numbers between fractions, decimals and
percentages.
Conversions Between Fractions, Decimals, and
Percentages
|
1/2 |
0.5 |
50% |
|
1/4 |
0.25 |
25% |
|
3/4 |
0.75 |
75% |
|
2/5 |
0.4 |
40% |
|
1/10 |
0.1 |
10% |
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[Chapter Name] -
Type of Percentage Problems
[Chapter No.] - 4
[Chapter DP Name] – Types
of Percentage Problems
[Title] – Percentage Problems
[Keywords] – Percentage problems,
Solve Percentage problems, Percentage question and answer
[Description] – Type of Problems in
Percentage
Types of Percentage Problems
1. Finding Percentage of a Given Number
Example:
What is 20% of 250?
Solution:
(20/100)
X 250 = 50
So, 20% of 250 is 50.
2. Converting a Number into Percentage
Example:
Convert 45 out of 60 into percentage.
Solution:
(45/60) X
100 = 75
So, 45 out of 60 is 75%.
3. Percentage Increase and Decrease
o Formula for Percentage Increase:
Percentage
Increase = (New Value – Old Value / Old Value) X 100
o Formula for Percentage Decrease:
Percentage
Increase = (Old Value – New Value / Old Value) X 100
Example:
The price of a product increases from ₹200 to ₹250. What is the percentage
increase?
Solution:
Old Value = 200
New Value =250
(250 - 200) / 200 X 100 = 25
So, the price increased by 25%.
4. Successive Percentage Change
When
there are multiple percentage changes, use:
Final Percentage Change
= A+B+AB/100
where A
and B are percentage changes.
Example:
If a product’s price first increases by 20% and then decreases by 10%, the
final change is:
First
Increases so A =20
Then,
Decreases B = -10
20 – 10 +
(20 X (-10)) / 100 = 8
So, the
final percentage change is an 8%
increase.
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Test:
Percentage
Test No.
- 1
No. Of
Question: 5
Total
Marks : 5
- What is 35% of 480?
(a)165% (b)167% (c)168%. (d)166%
- If a product’s price
increases from ₹500 to ₹600, what is the percentage increase?
(a)20%. (b)15% (c)30% (d)10%
- Convert 72 out of 90 into a
percentage.
(a)75% (b)80%. (c)60% (d)65%
- A product is first increased
by 30% and then decreased by 20%. What is the final percentage change?
(a)3% (b)5% (c)4%. (d)7%
- A shopkeeper gives a 15%
discount on a ₹2000 item. What is the final price?
(a)1500% (b)1700%. (c)1600% (d)1400%
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Test:
Percentage
Test No.
- 2
No. Of
Question: 5
Total
Marks : 5
1. A
student scored 540 marks out of 800 in an exam. What is the percentage of marks
obtained?
(a)67.7% (b) 67.5%. (c)67% (d)67.8%
2. The
price of a laptop increased from ₹50,000 to ₹55,000. What is the percentage
increase?
(a)10%. (b)12% (c)16% (d)18%
3. A
number is increased by 25% and then decreased by 20%. What is the final
percentage change?
(a) 0%. (b) 1% (c)3% (d)0.5%
4. A
shopkeeper marks a product 30% above the cost price and then gives a 20%
discount. What is the effective percentage profit or loss?
(a) (b) (c) (d)
5. If
60% of a number is 240, what is the original number?
(a) (b) (c) (d)