Percentage

Math-home

Question: (2) 2% of ? = 45

Solution:

We have to find 2% of ? = 45

Shortcut Method

We have to find 2% of ? = 45

We know that, if x% of y = m

Therefore, `y=(mxx100)/x`

Here in the given question, x=2, and m = 45 thus y=?

Therefore, `y=(45xx100)/2`

⇒ y = 45 × 50

Therefore, y = 2250 Answer

Alternate Method: Unitary Method

We have to find 2% of ? = 45

Let, ? = 100

∴ 2% of 100 = 2

Now,

∵ 2 is the 2% of 100

∴ 1 will be the 2% of `100/2=50`

∴ 45 will be 2% of 50 × 45 = 2250

Thus, required number = 2250 Answer

Question: (3) 5% of ? = 200

Or, 5% of what is equal to 200?

Solution:

We have to find 5% of ? = 200

Shortcut Method to find the missing number in given expression of percent

We have to find 5% of ? = 200

We know that, if x% of y = m

Therefore, `y=(mxx100)/x`

Here in the given question, x=5, and m = 200 thus y=?

Therefore, `y=(200xx100)/5`

⇒ y = 200 × 20

Therefore, y = 4000 Answer

Alternate Method: Unitary Method

We have to find 5% of ? = 200

Let, ? = 100

∴ 5% of 100 = 5

Now,

∵ 5 is the 5% of 100

∴ 1 will be the 5% of `100/5=20`

∴ 200 will be 5% of 20 × 200 = 4000

Thus, required number = 4000 Answer

Question: (4) 13% of ? = 39

Or, 13% of what number is equal to 39 ?

Solution:

We have to find 13% of ? = 39

Shortcut Method to find the missing number in given expression of percent

We have to find 13% of ? = 39

We know that, if x% of y = m

Therefore, `y=(mxx100)/x`

Here in the given question, x=13, and m = 39 thus y=?

Therefore, `y=(39xx100)/13`

⇒ y = 3 × 100

Therefore, y = 300 Answer

Alternate Method: Unitary Method

We have to find 13% of ? = 39

Let, ? = 100

∴ 13% of 100 = 13

Now,

∵ 13 is the 13% of 100

∴ 1 will be the 13% of `100/13`

∴ 39 will be 13% of `100/13xx39`

= 100 × 3 = 300

Thus, required number = 300 Answer

Question: (5) 22% of ? = 110

Or, 22% of what number is equal to 110 ?

Solution:

We have to find 22% of ? = 110

Let 22% of `y` = 110

`=>22/100xx\y=110`

After cross multiplication

⇒ 22`y` = 110 × 100

`=> y = (110xx100)/22`

= 5 × 100 = 500

Thus, required number = 500 Answer

Shortcut Method to find the missing number in given expression of percent

We have to find 22% of ? = 110

We know that, if x% of y = m

Therefore, `y=(mxx100)/x`

Here in the given question, x=22, and m = 110 thus y=?

Therefore, `y=(110xx100)/22`

⇒ y = 5 × 100 = 500

Therefore, y = 500 Answer

Alternate Method: Unitary Method

We have to find 22% of ? = 110

Let, ? = 100

∴ 22% of 100 = 22

Now,

∵ 22 is the 22% of 100

∴ 1 will be the 22% of `100/22`

∴ 110 will be 22% of `100/22xx110`

= 100 × 5 = 500

Thus, required number = 500 Answer

Question: (6) 13% of ? = 65

Or, 13% of which number will be equal to 65 ?

Solution:

Shortcut Method to find the missing number in given expression of percent

We have to find 13% of ? = 65

We know that, if x% of y = m

Therefore, `y=(mxx100)/x`

Here in the given question, x=13, and m = 65 thus y=?

Therefore, `y=(65xx100)/13`

⇒ `y` = 5 × 100 = 500

Therefore, required number = 500 Answer

Alternate Method: Unitary Method

We have to find 13% of ? = 65

Let, ? = 100

∴ 13% of 100 = 13

Now,

∵ 13 is the 13% of 100

∴ 1 will be the 13% of `100/13`

∴ 65 will be 13% of `100/13xx65`

= 100 × 5 = 500

Thus, required number = 500 Answer

Question: (7) 22% of ? = 88

Or, 22% of what number is equal to 88?

Solution:

We have to find 22% of ? = 88

Shortcut Method to find the missing number in given expression of percent

We have to find 22% of ? = 88

We know that, if x% of y = m

Therefore, `y=(mxx100)/x`

Here in the given question, x=22, and m = 88 thus y=?

Therefore, `y=(88xx100)/22`

⇒ `y` = 4 × 100 = 400

Therefore, required number = 400 Answer

Alternate Method: Unitary Method

We have to find 22% of ? = 88

Let, ? = 100

∴ 22% of 100 = 22

Now,

∵ 22 is the 22% of 100

∴ 1 will be the 22% of `100/22`

∴ 88 will be 22% of `100/22xx88`

= 100 × 4 = 400

Thus, required number = 400 Answer

Question: (8) 12% of what number is equal to 60?

Solution:

We have to find 12% of ? = 60

Shortcut Method to find the missing number in given expression of percent

We have to find 12% of ? = 60

We know that, if x% of y = m

Therefore, `y=(mxx100)/x`

Here in the given question, x=12, and m = 60 thus y=?

Therefore, `y=(60xx100)/12`

⇒ `y` = 5 × 100 = 500

Therefore, required number = 500 Answer

Alternate Method: Unitary Method

We have to find 12% of ? = 60

Let, ? = 100

∴ 12% of 100 = 12

Now,

∵ 12 is the 12% of 100

∴ 1 will be the 12% of `100/12`

∴ 60 will be 22% of `100/12xx60`

= 100 × 5 = 500

Thus, required number = 500 Answer

Question: (9) 30% of which number is equal to 25?

Solution:

We have to find 30% of ? = 25

Shortcut Method to find the missing number in given expression of percent

We have to find 30% of ? = 25

We know that, if x% of y = m

Therefore, `y=(mxx100)/x`

Here in the given question, x=30, and m = 25 thus y=?

Therefore, `y=(25xx100)/30`

`y=(25xx10)/3=250/3`

⇒ `y = 83\1/3`

Therefore, required number `= 83\1/3` or 83.333 Answer

Alternate Method: Unitary Method

We have to find 30% of ? = 25

Let, ? = 100

∴ 30% of 100 = 30

Now,

∵ 30 is the 30% of 100

∴ 1 will be the 30% of `100/30`

∴ 25 will be 30% of `100/30xx25`

`=(10xx25)3=83\1/3`

Thus, required number `= 83\1/3` or 83.333 Answer

Question: (10) 22% of which number is equal to 440?

Solution:

We have to find 22% of ? = 440

Shortcut Method to find the missing number in given expression of percent

We have to find 22% of ? = 440

We know that, if x% of y = m

Therefore, `y=(mxx100)/x`

Here in the given question, x=22, and m = 440 thus y=?

Therefore, `y=(440xx100)/22`

= 20 × 100 = 2000

Therefore, required number = 2000 Answer

Alternate Method: Unitary Method

We have to find 22% of ? = 440

Let, ? = 100

∴ 22% of 100 = 22

Now,

∵ 22 is the 22% of 100

∴ 1 will be the 22% of `100/22`

∴ 440 will be 22% of `100/22xx440`

= 100 × 20 = 2000

Thus, required number = 2000 Answer

MCQs Test

Math-home

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