Question

if a number is increased by 30% and decreased by 30% the net increase or decrease percent will be​

Answer 1

Answer:

0

Step-by-step explanation:

Answer 2

The net increase or decrease percent will be​ "9%".

Step-by-step explanation:

Let the number  = a

• Number increased by 30% = a + 30%a

     Number increased by 30% = $a + \dfrac{30}{100} a= \dfrac{130a}{100} =\dfrac{13a}{10}$

• Now the number is decreased by 30% = $\dfrac{13a}{10}-\dfrac{30}{100} \times(\dfrac {13a}{10}) = \dfrac{91a}{100}$

       Now the number is decreased by 30% = $\dfrac{91a}{100}$

Now we can calculate the net decrements as :

Decrements =   $a - \dfrac{91a}{100}$

$\textrm{Decrements }= \dfrac{9a}{100}$

Now the total change in increase or decrease percentage:

Change in percentage =

$\textrm{Change in percentage} =\dfrac{(\dfrac{9a}{100})}{a} \times 100$

Change in percentage = 9%