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?
Select.
A) 60  B) 80  C) 40  D) 120  E) 160
Explanatory Answer   Let the original number be x.   Let A be the value obtained when x is increased by 12.5%.   Therefore, A = x + 12.5% of x   Let B be the value obtained when x is decreased by 25%.   Therefore, 80 = x - 25% of x   The question states that A - 80 = 30   i.e., x + 12.5% of x - (x - 25% of x) = 30   x + 12.5% of x - x + 25% of x = 30   37.5% of x = 30   x = 30/37.5*100= 
<gadget id="calculator">30/37.5*100</gadget>
<output>80</output>
80   The correct choice is (80)
<result>B</result>
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?