Percentage in Real life - Comparing Quantities, Mathematics, CBSE Class 8 Video Lecture

he'll open this video on comparing
quantities part four is brought to you
by exampie or calm no more tear from
exam a lot of you might wonder is that
how those percentage helps in our real
life do we even lose percentages in real
life when we do now let us look at some
examples thread sale and you eat a pizza
or when you eat a cake you often talk
about the percentage of pizza that you
can eat now normally let's say that you
have a pizza and you have cut it into
maybe five equal slices so how what
percentage of the pizza can you eat
maybe you can increase lines out of five
slices or you can eat one slice out of
five slices or maybe you can into two
slides out of five slices or it could be
any such fraction and you can always get
a corresponding percentage for this
fraction for example you might see it in
twenty percent of the pizza and P
percent of the pizza 50% of the pizza
so why interesting thing that you would
all give of those is the percentage is
related to proper fractions are less
than hundred for its water proper
fractions don't fractions where
numerator is less than the denominator
so these are all examples of proper
fraction 3 by 5 1 by 5 2 by 5 so when
you actually convert them into
percentages you would activity that 2 by
5 corresponds to 40 percent one by five
corresponds to 20 percent 3 by 5
corresponds to 60 percent you see there
is one more time into percentage their
percentages and less than hundred
whereas percentages related to improper
fractions are always more than hundred
for example let's say that the
shopkeeper is reading a book now the
failing types of the book can be more
than 100 percent more than the cost
price for example this business the book
which is being sold and let's say that
the first premise of this book is rupees
10 that means the shopkeeper hide the
ball
this book for to be spent and what is
the price at which which is selling the
book let's say that he is selling the
book at 1500 - these are just you know
head of imaginary numbers just to
explain the concept when they play is
the selling price is a lot though that
the cost bank so if you look at the
increase in this particular case the
increase is almost 900 percent so that
much is faintly rain cleaners more than
hundred percent so what is this this
when you look at it fraction so how much
is the change this is ninety and what
was the initial price it was 10 so this
much is the increase right so this is 90
by 10 is what this is an improper
fraction so whenever you come across
improper fraction like 5 by 2 or 3 by 2
or level by 3 see these are all in that
the fact the percentages for pointing to
these fractions they're improper
fractions so the corresponding
percentages will be more than hundred
for example in this is 3 by 2
corresponds to 150 percent to the lady
in this case discuss 5 by 2 correspond
to 2 2 to 3 percent so all of these are
more than hundred now we will now look
at application of percentages that how
this concept of percentage helps us in
calculation in day-to-day life let us
take a simple example from our real life
for example the teacher says that at
which I had to be 600 less after
spending 75% of my money how much did I
have if the beginning let me lead you
forward that how much money did you get
as part of your family but now you are
left with 50% and all you know is that
you have spent 75 percent of your money
so how much was the money with you in
the beginning so see in such cases the
concept of
pages will be helpful so let's assume so
you can assume that the money that you
had in the beginning is X so how much
have you spent you have spent seventy
five percent of X 75 percent of what you
had that is something which you have
already spent for how regarding math to
it so in this case this was the initial
money that you have from this initial
money you have spent seventy five
percent of a so this is the this is the
remaining money that you should have but
according to the question where in any
money that you have a stick granted so
when you look at this this becomes 75 by
undulates into X this is equal to 625
threes are 25 holder so this is 8 minus
3 by 4 X is equal to 600 or you can take
X by 4 is equal to 600 or X is equal to
4 into 600 which is equal to 2400 the
she initially has these 2400 so here is
you need to be made use of percentages
in our day-to-day life in different
types of problems and there we see that
we do make use of the concepts of
percentages to solve them let's try one
more problems if 60 percent people in a
city like cricket 30% light football and
the remaining life other games then what
percent of the people like other game so
okay so how many lights
creates a critical life to buy fifty
percent of the people football and
sliced by flip thirty percent of the
season and how many lights others that
we don't know okay now what do we mean
by percentage person which means out of
100 so when I say that sixty percent
like cricket that means being resumed
that so you will assume that if the
total number of people is 100 exactly 60
light cricket 30 like football so how
many out of hundred would like others to
that same simple so let's assume that X
number
people would like others so x + 60 + 30
should be equal 200 that is as per the
definition of percentage now this
doesn't mean that there are total 100
people in reality this just me in
Section 60 percent 50 percent that needs
this 60 and happy number that out of
hundred so if there are 100 people then
60 of them like tilted and 30 of them
like football so in that case it will be
equal to 10 so X is equal to hundred
minus 90 which is equal to 10 so we can
say that 10 percent of the people like
other games now the second part of the
question fails if the total number of
people are 50 lakhs so this is the
actual number of people find the exact
number who light each type of game so
now let's talk about cricket first now
for cricket we know that 60% people nice
click it to 60% of what 60% of the total
number of people so total number of
people is 50 lakh to 60 percent of the T
lakh so this is equal to 60 by hundred
into 50 lakhs would be 5 0 0 0 0 0 0 so
this is 50 lat so this will be equal to
3 your 0 0 0 0 0 so this will actually
be thirsty that you can do this like
units tens hundreds thousands ten
thousands that 10 lakhs
so like that even I can find out this is
petrol and this is 30 X so 30 lakh
people light cricket now what about
football your 30 percent of deadlight
football - 30 percent or 50 laughs so
this is equal to
3,500 into 50 lakhs so this is equal to
16 lat this is to stay like so keep 30
lakhs like ticket 15 lakhs like football
so how many would like other games
others would be like by del 2 ways of
finding enough one option is you just
subtract you add these two that is the
total number of people who like ticket
and football and then subtract it from
50 lakhs that is one way of doing it the
other way of doing it is 10 percent of
them life other game so 10 percent of 50
lakhs so this is equal to 10 by and grid
into 50 lat so this is equal to 5 0 0 0
0 0 that is 5 lakhs so you see that 30
lakhs like to get 15 lakhs like football
and 5 flashlights other game let's try
one more problem of football team or 10
matches out of the total number of
matches they played if they are win
percentage was 14 then how many matches
basically in all so in this case we know
half the exact number of matches faculty
has modelled but we do not know the
total number of matches that they have
played so let us assume that they played
a total of its matters now this is a
beautiful way of solving problems so
anyway you are given a problem when you
do not know one particular quantity you
can always resume that other variable
and then solve a dash of them using
algebraic expressions and apparently you
can get away
a convenient solution now looking at a
question we see that a win percentage is
given as 40 that means the number if the
total number of matches would have been
hundred in that case the team would have
borne 40 matches out of 100 match so
that is what we mean by the wind
percentage now let us try to calculate
the win percentage if the total number
of matches that they played was a so as
for us what would be the win percentage
the number of matches that they won the
number of matches won out of the total
number of matches multiply it by 100
because whenever you want to find out
percentage we definitely multiply by
hundred so how many matches did say
between their own 10 max out of how many
matches out of X matches because X is
the total number of matches so this is
200 so this is 1,000 divided by X
percent so this is the calculated
percentage as per us but according to
the question what is the win percentage
the wind percentage is given in the
question is 40 so that means this 1,000
s is actually equal to 40 as per the
question therefore it will be equal to
1,000 divided by 40 so 4 into 25 so this
would be 25 so they played total 25
matches out of which they want 10
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