Percentage
Finding the percentage of given number
Example – 1 – Find 1% of 100
Solution:
Step – 1- make the given word problem into expression
Given, Find 1% of 100
Here, 1% = 1/100
And ‘of’ means multiplication (X)
Therefore, given word problem can be written as
Example – 2 – Find 2% of 100
Solution:
Example – 3 – Find 3% of 100
Solution:
Example - 4 – Find 7% of 500
Solution:
Shortcut method (1):
From above example it is clear that,
1% of 100 = 1
2% of 100 = 2
3% of 100 = 3
Similarly,
4% of 100 = 4
10% of 100 = 10
20% of 100 = 20
And so on.
In similar way,
X% of 100 = X
Y% of 100 = Y
m% of 100 = m
Shortcut method(2):
1% of 100 = 1 x 1 = 1
1% of 200 = 1 x 2 = 2
1% of 300 = 1 x 3 = 1
2% of 100 = 2 x 1 = 1
2% of 200 = 2 x 2 = 4
2% of 300 = 2 x 3 = 6
5% of 200 = 5 x 2 = 10
25% of 500 = 25 x 5 = 125
30% of 600 = 30 x 6 = 180
Similarly,
Questions Based On Finding the Percentage of Given Number
Question: (1) Find 4% of 100
Solution:
Here we have to find 4% of 100
Thus, 4% of 100
Shortcut Method
We have to find 4% of 100
Since, 1% of 100 = 1 ×1 = 1
And, 2 % of 100 = 2 × 1 = 2
And 3% of 100 = 3 × 1 = 3
Thus, 4% of 100
= 4 × 1
= 4 Answer
Question: (2) Find 5% of 100
Solution:
Here we have to find 5% of 100
Thus, 5% of 100
Shortcut Method
We have to find 4% of 100
Since, 1% of 100 = 1 ×1 = 1
And, 2 % of 100 = 2 × 1 = 2
And 3% of 100 = 3 × 1 = 3
Thus, 5% of 100
= 5 × 1
= 5 Answer
Question: (3) Find 6% of 100
Solution:
Here we have to find 6% of 100
Thus, 6% of 100
Shortcut Method
We have to find 6% of 100
Since, 1% of 100 = 1 ×1 = 1
And, 2 % of 100 = 2 × 1 = 2
And 3% of 100 = 3 × 1 = 3
Thus, 6% of 100
= 6 × 1
= 6 Answer
Question: (4) Find 7% of 100
Solution:
Here we have to find 7% of 100
Thus, 7% of 100
Shortcut Method
We have to find 7% of 100
Since, 1% of 100 = 1 ×1 = 1
And, 2 % of 100 = 2 × 1 = 2
And 3% of 100 = 3 × 1 = 3
Thus, 7% of 100
= 7 × 1
= 7 Answer
Question: (5) Find 8% of 100
Solution:
Here we have to find 8% of 100
Thus, 8% of 100
Shortcut Method
We have to find 8% of 100
Since, 1% of 100 = 1 ×1 = 1
And, 2 % of 100 = 2 × 1 = 2
And 3% of 100 = 3 × 1 = 3
Thus, 8% of 100
= 8 × 1
= 8 Answer
Question: (6) Find 12% of 200
Solution:
Here we have to find 12% of 200
Thus, 12% of 200
Shortcut method:
We have to find 12% of 200
Since, 1% of 100 = 1 ×1 = 1
And, 1% of 200 = 1 × 2 = 2
And 1% of 300 = 1 × 3 = 3
Thus, 12% of 200
= 12 x 2
= 24 Answer
Question: (7) Find 25% of 100
Solution:
Here we have to find 25% of 100
Thus, 25% of 100
Shortcut method:
We have to find 25% of 100
Since, 1% of 100 = 1 ×1 = 1
And, 2 % of 100 = 2 × 1 = 2
And 3% of 100 = 3 × 1 = 3
Thus, 25% of 100
= 25 × 1
= 25 Answer
Question: (8) Find 12.5% of 100
Solution:
Here we have to find 12.5% of 100
Thus, 12.5% of 100
Shortcut method:
We have to find 12.5% of 100
Since, 1% of 100 = 1 ×1 = 1
And, 2 % of 100 = 2 × 1 = 2
And 3% of 100 = 3 × 1 = 3
Thus, 12.5% of 100
= 12.5 × 1
= 12.5 Answer
Question: (9) Find 12.5% of 200
Solution:
Here we have to find 12.5% of 200
Thus, 12.5% of 200
Shortcut method:
Here we have to find 12.5% of 200
Since, 1% of 100 = 1 ×1 = 1
And, 1% of 200 = 1 × 2 = 2
And 2% of 200 = 2 × 2 = 4
And 3% of 200 = 3 × 2 = 6
Thus, 12.5% of 200
= 12.5 x 2
= 25 Answer
Question: (10) Find 25% of 200
Solution:
Here we have to find 25% of 200
Thus, 25% of 200
Shortcut method:
We have to find 25% of 200 = 25 x 2
Since, 1% of 100 = 1 ×1 = 1
And, 1% of 200 = 1 × 2 = 2
And 2% of 200 = 2 × 2 = 4
And 3% of 200 = 3 × 2 = 6
Thus, 25% of 200
= 25 × 2
= 50 Answer
Reference: