Question

a number is increased consecutively two times by 20 percentage each time. what is the percentage increase in the original number?​

Answer 1

First, let’s understand what Percentage means?

Definition can be : One part in every hundred.

So, how does it un-complicate it. I does, it tells us that we are talking in terms of parts of hundreds.

Let’s do it by an easy example.

Let’s take any number: x

What is 1 percent of x: (x/100)∗1

What is 20 percent of x: 20 * (1 percent of x): 20∗(x/100)

If you are able to follow till this part, let’s go forwards:

What does increasing something by x% means?

It means, adding x% to the quantity itself, OR, in other Words, (100+x)% of that quantity.

Similarly, decreasing a quantity by x% means (100-x)% of that quantity.

Now let’s take the question you asked:

Let the number be 100.

Increasing 100 by 20% = (100+20)∗(100/100)=120.

Now, Increasing 120 by 20% = (100+20)∗(120/100)=144

Now we need to find the percentage of 144 which can take us back to 100(the original number), i.e. 44.

So out Statement should be x% of 144 is 44.

Writing it Mathematically:

(x/100)∗(144)=44

x=(100∗44)/144

x=30.5

This will solve your problem....

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