Now that, we have understood the basics of percentages, we shall solve some questions related to this. Tell me if the following percentages are
integers or mixed number of fractions:
1.
2.
Sure NAK, - 400% means - 400 by 100 and that’s -4 which is nothing but an Integer.
1. = = - 4 (Integer)
means and that’s simplified as . Now this is a mixed Number
2) = = (Mixed Number)
Now, Let’s solve some examples together.
1) of 120
2) of 380
3) of 1329
4) of 1000
Sure, let me solve the first one
of 120
can be written as and we learnt “of” means multiplication, so
of 120 can be written as () times 120
45 times 120 gives us 5400 divided by 100 is 54
2) of 380
of 380 can be written as times 380 which is 1900 by 100 which gives us 19
of 380 = () x 380 = = 19
Now let’s move to the next one
3) of 1329
of 1329 can be written as () x 1329 which is nothing but 0
of 1329 = ( ) x 1329 = 0
4) % of 1000
% can be written as ()/100 which is nothing but
times 1000 gives us which is 6
Good, now Let’s move on to another concept in percentages. convert a number into percentage.
Solve:
1.
2.
If we want to convert number into percentage, all we do is to simply
multiply the number by
1.Let’s take the first one . this can be converted to an improper fraction 8 times 3 is 24 and 24 5 is 29;
That’s+ . Now let’s multiply this fraction by
Lets try the next problem.
1. 537x
Multiplying a decimal number by 100, moves the decimal point to the
right by 2 digits
So, x gives us
Very good Tak, Let’s solve a few more percentage problems but
framed a little different.
Do you want to try solving these please?
1.What percent of is 6?
2.What percent is of ?
3.What percent is 6 of -30?
4.21 is of what number?
5.4 is of what number?
6. is of what number?
I feel like if I read the question carefully and try to decode them, I can
solve them easily. Let me try the first one.
1) What percent of is 6?
What percent ---- Let’s say the unknown number is something like
Of means multiplication. is 6.
Now let’s re-arrange them to get the value of x.
is ; times equals 6
X = 6 times 300; x =
2)Now, let’s move to the next one
What percent is of ?
Let’s write the unknown value in terms of
What percent is of ?
of =
() * =
x= /()
x = =
TAK, did you notice the difference between these two problems we just
solved
1)What percent of is 6?
2)What percent is of ?
In the first problem, we wrote the expression as unknown number
percentage multiplied with the number to get the value 6
In the 2nd problem, we wrote the expression as unknown number
percentage multiplied with the number to get
What percent is of ?
Always pay attention to the details in the question carefully to get the
answer right!
Let’s solve few more problems for practice.
What percent is 6 of -30?
It’s the same thing, of -30 is 6 which can be written as
of -30 = 6
() x -30 = 6
x= -6 *
which is nothing but which is
NAK, Let me try the next one
21 is of what number?
This can be written as 21 = of X , right?
Correct TAK.
of X can be written as () times X
() x X
So, ( ) x X = 21
By re-arranging, we get the X value as which is 210
Now, let’s move to the next question
4 is of what number?
Let’s write this as 4 = of Y
x Y = 4
Y = = -8
And now the last one
is of what number?
This can be written as
of x=
% is
of x =
x = which can be simplified to
Now let’s write this as a Mixed Number 13
NAK: Now, tell me which number is greater of 180 or of 200?
TAK: Let’s solve both of them and then compare
Let’s take of 180
7 times 180 gives us 1260, 1260 divided by 9 gives us 140
Now let’s take of 200
can be written as
times 200 gives us 15000
15000 divided by 100 gives us 150
150 is greater than 140
So, of 200 will be greater
NAK, I have understood the concept. Can you help to do sum of of
75 and of 60.
Sure TAK. Let’s find of 75
of 75 will be () times 75 which is = 45
Now let’s find of 60
Now let’s add 45 + 45 which is 90.
Thank you very much NAK. I will do more practice to remember the concept well!