Percentage - Arithmetic

Example (1) Find 1% of 100

Solution:

Step (1) make the given word problem into expression

Given, Find 1% of 100

Here, 1%

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 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 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