Which change (in percent) is larger: a increasing the price from $400 to $500 or increasing the price from $500 to $600?

worth 86 !

Which change in percentage is larger?

Increasing the price from $400 to $500.

Step-by-step explanation:

STEP ONE:

Formula utilized: PC= (Vnew - Vold) / Vold * 100%

Forumla components:

PC= Percentage Change.

Vnew= Value New, aka the final value provided.

Vold= Value old, aka the first value provided.

STEP TWO:

Substitution 1: (500-400)/(400) * 100= 25%

Substitution 2: (600-500)/(500) * 100= 20%

ANSWER: Increasing the price from $400 - $500 has the larger percentage variation/difference in direct comparison to the contrary.

Why?

This is something to remember personally, but when the difference between Vnew & Vold is the same in BOTH changes you're wishing to calculate, whichever has the lower Vold will inevitably have a larger percentage change. Why? Because you're using Vold as the divisor in the equation. The lower the divisor, the more times it can divide into the dividend, producing the same effect.

This concept applies to multiple areas and fields in math, though you'll recognize where it can be used pretty easily.

I'll provide examples in the comments.

Hope this helps!

~Troy