Percentage

Math-home

Finding the missing percent of the given number

Example: (1) ?% of 100 = 5

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

Solution:

math percentage187

Shortcut method to find the missing percent of a number

math percentage188

Example: (2) ?% of 200 = 20

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

Solution:

math percentage189

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, `x=m/yxx100`

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

Therefore,

math percentage190

Example (3) ?% of 300 = 60

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

Solution:

math percentage191

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, `x=m/yxx100`

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

Therefore,

math percentage192

Example: (4) ?% of 400 = 100

Or, What percent of 400 is equal to 100 ?

Solution:

math percentage193

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, `x=m/yxx100`

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

Therefore,

math percentage194

Questions based on finding the missing percent of given number

Question: (1) ?% of 120 = 24

Solution:

math percentage195
math percentage196

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, `x=m/yxx100`

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

Therefore, `x=24/120xx100`

` =(24xx10)/12`

= 2 × 10 = 20

Thus, `x` = 20 Answer

Question: (2) ?% of 210 = 21

Solution:

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

math percentage197

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, `x=m/yxx100`

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

Therefore, `x=21/210xx100`

Therefore, x = 10 Answer

Question: (3) ?% of 300 = 66

Solution:

We have to find ?% of 300 = 66

math percentage198

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, `x=m/yxx100`

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

Therefore, `x=60/300xx100`

Therefore, `x=20` Answer

Question: (4) ?% of 500 = 100

Solution:

We have to find ?% of 500 = 100

math percentage199

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, `x=m/yxx100`

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

Therefore, `x=100/500xx100`

`=>x=1/5xx100`

Thus, x = 20 Answer

Question: (5) ?% of 1200 = 24

Solution:

We have to find ?% of 1200 = 24

math percentage200

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, `x=m/yxx100`

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

Therefore, `x=24/1200xx100`

`=>x=24/12`

Therefore, x = 2 Answer

Question: (6) ?% of 1600 = 32

Solution:

Here we have to find ?% of 1600 = 32

math percentage201

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, `x=m/yxx100`

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

Therefore, `x=32/1600xx100`

`=>x= 32/16`

Hence, x = 2 Answer

Question: (7) ?% of 2700 = 81

Solution:

We have to find ?% of 2700 = 81

math percentage202

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, `x=m/yxx100`

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

Therefore, `x=81/2700xx100`

`=>x= 81/27`

Thus, x = 3 Answer

Question: (8) ?% of 1300 = 52

Solution:

We have to find ?% of 1300 = 52

math percentage203

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, `x=m/yxx100`

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

Therefore, `x=52/1300xx100`

`=>x = 52/13 = 4`

Thus, x = 4 Answer

Question: (9) ?% of 1900 = 57

Solution:

We have to find ?% of 1900 = 57

math percentage204

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, `x=m/yxx100`

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

Therefore, `x=57/1900xx100`

`=>x = 57/19=3`

Thus, x = 3 Answer

Question: (10) ?% of 1020 = 204

Solution:

Here we have to find ?% of 1020 = 204

math percentage205

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, `x=m/yxx100`

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

Therefore, `x=204/1020xx100`

`=>x = 240/102xx10`

= 2 × 10 = 20

Thus, x = 20 Answer

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