Question

A Web site goes viral. The number of users triples each day. What is the constant percentage increase each day?

Answer 1

We know that the number of users triple each day

Let number of users on day 1 be x

⇒ Users on day 2 = $3 * (x)$ = 3x

and Users on day 3 = $3 * (3x)$ = 9x

And so on...

% Increase in users from day 1 to day 2 = $\frac{\text{Users on Day 2 - Users on Day 1}}{\text{Users on Day 1}} * 100$

⇒ % Increase in users from day 1 to day 2 = $\frac{3x-x}{x} * 100$

⇒ % Increase in users from day 1 to day 2 = $\frac{2x}{x} * 100$

⇒ % Increase in users from day 1 to day 2 = 200%

Similarly,

% Increase in users from day 2 to day 3 = $\frac{\text{Users on Day 3 - Users on Day 2}}{\text{Users on Day 2}} * 100$

⇒ % Increase in users from day 2 to day 3 = $\frac{9x-3x}{3x} * 100$

⇒ % Increase in users from day 2 to day 3 = $\frac{6x}{3x} * 100$

⇒ % Increase in users from day 2 to day 3 = 200%

Hence, we can see that the percentage increase each day is 200%