Percentage

Rohit and Vikram are brothers.

Rohit spends Rs from his pocket money of Rs in a month.

Vikram gets a pocket money of per month and he spend from it.

At the end of the month, their father asked both of them about their expenditure.

Rohit tells that he has spent rupees less than Vikram.

But his father tells him that he is more lavish than Vikram.

Rohit doesn’t understand how this is so.

His father tells him that he needs to understand percentage to understand this.

Let’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, 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 as

Let’s get back to our problem.

We know that out of , Rohit spent . It can be shown in fraction as

Converting fraction into percentage, we see that Rohit spent of his pocket money.

Now for Vikram, Rs out of Rs can be shown in fraction as

Converting fraction to percentage, we see that Vikram spent of his pocket money.

So we see that despite Rohit spent Rs less than Vikram, he is more lavish as he spent of his pocket money as compared to by Vikram.

Let’s see one more problem to understand the concept of percentage.

Suppose, you buy petrol at the rate of Rs per litre.

One day, you read in news that price of petrol got a hike of .

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 and get increment as Rs .

So now you know that the hiked price of the petrol is .

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 as

Whereas fractions can be converted into percentage by multiplying by as

The End