Question

When a number is first increased by 10% and then reduced by 10%,the number?

Answer 1

Answer:

99% of the original

Step-by-step explanation:

Let the number be x.

If we increase a number by 10% it becomes 110% of the original.

⇒10% more of x = 110% of x

                           =110x/100

                           =11x/10

Now we decrease this number by 10%

⇒10% less of the result = 90% of the result

                         = 90% of (11x/10)

                         =(90/100).(11x/10)

                         =99x/100

                         =99% of x.

Hope you understood.

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Answer 2

Answer:

If you increase a number by 10% then reduce it by 10 % , eventually you will get a number which is 1% less than the actual number.

Step-by-step explanation:

Let us understand this with the help of an example.

EXAMPLE - Lets take 100 for the example .

When you increase 100 by 10% you will get 110.

Now when you decrease it by 10 % which is equal to = 110 - 10% of 110.

= 110 - 11.

= 99.

So the resultant 99 is 1 % less than 100.