Percentage
Rohit and Vikram are brothers.
Rohit spends Rs
$240$
from his pocket money of Rs
$800$
in a month.
Vikram gets a pocket money of
$Rs1000$
per month and he spend
$RS280$
from it.
At the end of the month, their father asked both of them about their expenditure.
Rohit tells that he has spent
$40$
rupees less than Vikram.
But his father tells him that he is more lavish than Vikram.
Rohit doesnâ€™t understand how this is so.
His father tells him that he needs to understand percentage to understand this.
Letâ€™s discuss what percentage is.
In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is denoted by the symbol
$%$
.
For example,
$1%$
of any quantity represents one hundredth part of it.
In the same way, we have the following values for various percentages.
Also for converting a fraction into percentage, we multiply it by
$100$
as
Letâ€™s get back to our problem.
We know that out of
$Rs800$
, Rohit spent
$Rs240$
. It can be shown in fraction as
Converting fraction into percentage, we see that Rohit spent
$30%$
of his pocket money.
Now for Vikram, Rs
$280$
out of Rs
$1000$
can be shown in fraction as
Converting fraction to percentage, we see that Vikram spent
$28%$
of his pocket money.
So we see that despite Rohit spent Rs
$40$
less than Vikram, he is more lavish as he spent
$30%$
of his pocket money as compared to
$28%$
by Vikram.
Letâ€™s see one more problem to understand the concept of percentage.
Suppose, you buy petrol at the rate of Rs
$80$
per litre.
One day, you read in news that price of petrol got a hike of
$15%$
.
Now, you want to know the increment in price.
We know that increment in price is given as above.
We convert percentage into fraction and multiply it to
$80$
and get increment as Rs
$12$
.
So now you know that the hiked price of the petrol is
$Rs92$
.
Revision
In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is denoted by the symbol
$%$
.
Percentage can be converted into fraction by dividing by
$100$
as
Whereas fractions can be converted into percentage by multiplying by
$100$
as
The End