Question

The difference between the value of a number increased by 12.5% and the value of the original number decreased by 25% is 30. What is the original number?

Answer 1

Answer:

80

Step-by-step explanation:

(1+1/8)x-(1-1/4)x=30

x=80

Answer 2

Answer:

The original number is 80

Step-by-step explanation:

Let's assume that the original number is x

The value of a number is increased by 12.5%

$=x + \frac{12.5}{100}x$

The original number is decreased by 25%

$=x-\frac{25}{100}x$

The difference between the value of a number is increased by 12.5% and The original number is decreased by 25% is 30

Therefore,

$x + \frac{12.5}{100}x-(x-\frac{25}{100}x)=30$

$x(1 + \frac{12.5}{100}1-(1-\frac{25}{100}1))=30$

x (1 + 0.125 - (1 - 0.25)) = 30

x (1.125 - 0.75) = 30

x (0.375) = 30

x = 80

Therefore the original number is 80