Percentage - Arithmetic

Example: (1) ?% of 100 = 5

Or, What percentage of 10 will be equal to 5 ?

Solution:

Shortcut method to find the missing percent of a number

Example: (2) ?% of 200 = 20

Or, What percentage of 200 will be equal to 20 ?

Solution:

Shortcut method to find the missing percent of a number

We have to find, ?% of 200 = 20

Since, we know that, if x % of y = m

Therefore,

Here, in the given question, x = ?, y = 200 and m =20

Therefore,

Example (3) ?% of 300 = 60

Or, What percentage of 300 will be equal to 60 ?

Solution:

Shortcut method to find the missing percent of a number

We have to find, ?% of 300 = 60

Since, we know that, if x % of y = m

Therefore,

Here, in the given question, x = ?, y = 300 and m =60

Therefore,

Example: (4) ?% of 400 = 100

Or, What percent of 400 is equal to 100 ?

Solution:

Shortcut method to find the missing percent of a number

We have to find, ?% of 400 = 100

Since, we know that, if x % of y = m

Therefore,

Here, in the given question, x = ?, y = 400 and m = 100

Therefore,

Questions based on finding the missing percent of given number

Question: (1) ?% of 120 = 24

Solution:

Shortcut method to find the missing percent of a number

We have to find, ?% of 120 = 24

Since, we know that, if x % of y = m

Therefore,

Here, in the given question, x = ?, y = 120 and m = 24

Therefore,

= 2 × 10 = 20

Thus, x = 20 Answer

Question: (2) ?% of 210 = 21

Solution:

Here, we have to find ?% of 210 = 21

Shortcut method to find the missing percent of a number

We have to find, ?% of 210 = 21

Since, we know that, if x % of y = m

Therefore,

Here, in the given question, x = ?, y = 210 and m = 21

Therefore,

Therefore, x = 10 Answer

Question: (3) ?% of 300 = 66

Solution:

We have to find ?% of 300 = 66

Shortcut method to find the missing percent of a number

We have to find, ?% of 300 = 60

Since, we know that, if x % of y = m

Therefore,

Here, in the given question, x = ?, y = 300 and m = 60

Therefore,

Therefore, x=20 Answer

Question: (4) ?% of 500 = 100

Solution:

We have to find ?% of 500 = 100

Shortcut method to find the missing percent of a number

We have to find, ?% of 500 = 100

Since, we know that, if x % of y = m

Therefore,

Here, in the given question, x = ?, y = 500 and m = 100

Therefore,

Thus, x = 20 Answer

Question: (5) ?% of 1200 = 24

Solution:

We have to find ?% of 1200 = 24

Shortcut method to find the missing percent of a number

We have to find, ?% of 1200 = 24

Since, we know that, if x % of y = m

Therefore,

Here, in the given question, x = ?, y = 1200 and m = 24

Therefore,

Therefore, x = 2 Answer

Question: (6) ?% of 1600 = 32

Solution:

Here we have to find ?% of 1600 = 32

Shortcut method to find the missing percent of a number

We have to find, ?% of 1600 = 32

Since, we know that, if x % of y = m

Therefore,

Here, in the given question, x = ?, y = 1600 and m = 32

Therefore,

Hence, x = 2 Answer

Question: (7) ?% of 2700 = 81

Solution:

We have to find ?% of 2700 = 81

Shortcut method to find the missing percent of a number

We have to find, ?% of 2700 = 81

Since, we know that, if x % of y = m

Therefore,

Here, in the given question, x = ?, y = 2700 and m = 81

Therefore,

Thus, x = 3 Answer

Question: (8) ?% of 1300 = 52

Solution:

We have to find ?% of 1300 = 52

Shortcut method to find the missing percent of a number

We have to find, ?% of 1300 = 52

Since, we know that, if x % of y = m

Therefore,

Here, in the given question, x = ?, y = 1300 and m = 52

Therefore,

Thus, x = 4 Answer

Question: (9) ?% of 1900 = 57

Solution:

We have to find ?% of 1900 = 57

Shortcut method to find the missing percent of a number

We have to find, ?% of 1900 = 57

Since, we know that, if x % of y = m

Therefore,

Here, in the given question, x = ?, y = 1900 and m = 57

Therefore,

Thus, x = 3 Answer

Question: (10) ?% of 1020 = 204

Solution:

Here we have to find ?% of 1020 = 204

Shortcut method to find the missing percent of a number

We have to find, ?% of 1020 = 204

Since, we know that, if x % of y = m

Therefore,

Here, in the given question, x = ?, y = 1020 and m = 204

Therefore,

= 2 × 10 = 20

Thus, x = 20 Answer