Question

An article reports Sales have grown by 30% this year to $200 million, what were sales before the growth?

Answer 1

Answer:

Price before growth = $ 153.85 million

Step-by-step explanation:

Given:

Percentage = 30%

Rate after Increase =new value= $200 million

To Find:

Sales before growth =old value= ?

Solution:

We Know the formula for Percentage growth which is given by the formula

Percentage growth$= \frac{Difference value}{old value}*100$%

Now let old value = x

So

Difference = New Value - x

                  = 2000 - x

We have formula

Percentage growth$= \frac{Difference value}{old value}*100$%

Putting in values

30 %$= \frac{Difference value}{old value}*100$%

30 $= \frac{Difference value}{old value}*100$

Putting in values

30 $= \frac{200-x}{x}*100$

multiplying both sides by x

it becomes

30 x = (200-x)*100

Multiplying inside

30 x = 20000 - 100 x

Adding 100 x on both sides

30 x + 100 x = 20000 - 100 x + 100 x

it becomes

130 x = 20000

Dividing both sides by 130

$\frac{130*x}{130}=\frac{20000}{130}$

itgives us

x = $ 153.85 million

Price before growth = $ 153.85 million