Converting Ratios to Percentages Video Lecture - Class 8

hello friends this video on comparing
quantities party is brought to you by
example comm normal theorem exam so here
we saw that there exists a relationship
between ratio and percentages so often
in order to crack day-to-days problems
we need to convert ratio to percentages
or percentage distillation so how do we
convert ratio to percentage so now there
is a very simple tip that you can follow
first it divide each part by firm of all
the part multiplies each by hundred to
get percentage for each part so did you
understand anything from you know Logan
let's take an example so let us suppose
that you have to convert this ratio 2 is
to 3 is to 5 into percentage so when I
sail into percentage this basically
means that it is talking about 3
different person something some
comparisons between 3 quantities for
example if it could be that it is
talking about the mass the ratio of the
mass obtained by 3 students is 2 is to 3
is to 5 right that means if student a
has 4 2 X that tends to this we would
have chose 3 X then student C would have
4 5 it so let let me give an example
let's say that there are three students
ABC so if a is hold 20 then decode 30
and then please go to sleep in this case
if you find out their ratio it would be
2 is to 3 to 5 so this is the meaning of
finish 2 3 to 5 now we have to convert
it into percentage so we will get a
percentage for each of these students a
B and C so each part so here in this
ratio we call 2 3 & 5 as each part of
this ratio let's see how to be handle
this so the step first step is divide
each part by sum of all the parts so sum
of all the parts is 2 plus 3 plus 5
which is 10 this is the sum of all the
parts so for the first part 2 divided by
sum of all the
back for the taking part it would be
three divided by number for the past and
for the third part it would be five
divided by sum of all the back so that's
our step one step two is multiply each
by hundred to get percentage for that
part so you multiply this by 100
multiply this by 100 multiply this by
100 so what do you get in this case this
would be 20 in this case which would be
30 and in this case this would be 50 so
basically this 20% 30% and 50%
respectively so in this fashion you
convergent it improves the ratios in two
personally now do you understand the
logic behind this
now when you say 2 into 3 is to 5 that
means the total number of parts that you
have is 10 out of the 10 parts 2 parts
belong to let's call that these tools to
treat to file it the ratio of the mass
obtained by students a B and C so this
actually means that a code to part out
of the total number of factotum ember of
parts would be all the parts the sum of
all the parts of a B and C so 2 a for 2
out of 10 these go 3 out of 10 and C
code 5 out of 10 now that does not
literally mean that they for 5 out of 10
because we do not even know what is the
total mass after exam so this just 10
that if 10 is the total mass when that
piece is called to be 4 3 + 3 4 5 now we
have to find out how much would a B and
C code if the total mass is hundred
that's the concept of percentage so
whenever we talk about percentage we
want to find out how much house of
hundred the industry is when you see a
20 percent that means if total not 100
then a would for 20 total not good
asking 100 the B would have hoped 30 and
similarly the total mass would have been
hundred then she would have both 50 so
that's the concept of percentage and
these are the two simple sketch to
convert any ratio into percentage so let
us take one more example convert the
following ratio to percentage so this is
1/3 is 2 4 so what do we do with other 2
5 3 & 4 select divide this by some of
the two parts that is divided by 3 plus
4 so this is 3 by 7 until becomes 4 by 7
and then what we do we multiply this by
hundred so this becomes three hundred by
seven percent this becomes four hundred
by seven percent so three hundred five
seven would be forty two point eight
five percent and 400 by second would be
fifty seven point one four percent so in
this fashion we have converted the ratio
into percentage thank you please visit
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