Shortcut to find percentage of a number is one of the coolest trick which makes maths fun. With this trick you can mentally find the percentage of any number within seconds.
Let us understand a simple concept on percentages here
100% of a number will be the number itself
ex:100% of 360 will be 360
50% of a number will be half of the number
ex:50% of 360 will be 360/2=180
25% of a number will be quarter of the number or half of 50% of the number
ex:25% of 360 will be 360/4 or 180/2=90
10% of a number can be found by shifting the decimal point by 1 place to the left.
ex:10% of 360 will be 36.0
5% of the number is half of 10% of a number
ex:5% of 360 will be 36/2=18
15% of the number will be the sum of 10% and 5% of a number
ex:15% of 360 will be (10% of 360)36+(5% of 360)18=54
1% of a number can be found by moving the decimal point by 2 places to the left.
ex:1% of 360 will be 3.60
Now that we know the concept let us see how we can apply this trick in the below examples
Examples to apply shortcut to find percentage of a number
Example 1: 11% of 550 is?
Step 1: Split the number into 2 numbers that we can easily find the percentage of.
We can split 11% into 10% and 1%
Step 2: First we find 10% of 550 by shifting the decimal point to the left by 1 place.
We get,
10% of 550=55.0
Step 3: Now we need to find 1% of 550 by shifting the decimal point to the left by 2 places.
We get,
1% of 550=5.50
Step 4:Adding both the results
we get 10%+1%=55.0+5.50=60.50
Ans 11% of 550=60.50
Example 2:21% of 250 is?
Step 1: 21% can be split into 10%+10%+1%
Step 2: First we find 10% of 250 by shifting the decimal point to the left by one place
we get,
10% of 250=25.0
Step 3: Another 10% of 250 we get
10% of 250=25.0
Step 4:Now we need to find 1% of 250 by shifting the decimal point to the left by 2 places.
We get,
1% of 250=2.50
Step 5:Adding all the results we get,
10%+10%+1%=25+25+2.50=52.50
Ans 21% of 250=52.50
Example 3: 61% of 754 is?
Step 1:61% can be split into 50%+10%+1%
Step 2: First we find 50% of 754 which is half of the number
we get, 50% of 250=377
Step 3: First we find 10% of 754 by shifting the decimal point to the left by one place
we get, 10% of 754=75.4
Step 4:Now we need to find 1% of 754 by shifting the decimal point to the left by 2 places.
We get, 1% of 754=7.54
Step 5:Adding all the results we get,
50%+10%+1%= 377+75.4+7.54=459.94
Ans 61% of 754=459.94
Example 4: 98% of 850 is?
Step 1: 98% can be split into 100% – 2%
Step 2: We know that 100% of 850 which is 850.
Step 3: Now we find 1% of 850 by shifting the decimal point to the left by 2 places
we get, 1% of 850= 8.5
Step 4:Now we find 2% of a number,
1% of 850 + 1% of 850=8.5 + 8.5
we get, 2% of 850= 17
Step 5:a Subtracting the results we get,
100%- 2%= 850-17=833
Ans 98% of 850=833
Example 5: 95% of 620 is?
Step 1: 95% can be split into 100% – 5%
Step 2: We know that 100% of 620 which is 620.
Step 3: Now we find 10% of 620 by shifting the decimal point to the left by 1 place
we get, 10% of 620= 62
Step 4:Now we find 5% of 620 which is half of 10%
62/2= 31
we get, 5% of 62= 31
Step 5:a Subtracting the results we get,
100%- 5%= 620-31=589
Ans 95% of 620=589