A company has been forced to reduce its number of employees. Today the company has 33% fewer employees than it did a year ago. If there are currently 268 employees, how many employees did the company have a year ago?

Solution :

The number of employees currently in a company = 268

Percentage of employees less than a year ago = 33%

Let he number of people a year ago = x

∴ At present the number of employees =

   ⇒ 268 = x (1 - 0.33)

   ⇒ 268 = 1x -0.33 x

   ⇒ 268 = 0.67 x

    ⇒ x = 400

Number of employees in a year is = 400

Step-by-step explanation:

So we've been given a recursive formula, this means that each value depends on the value of

So, in order to find , we must first find and

Then,