Lenny bought a motorcycle. he paid 12.5% in tax. the tax added $1437.50 to the price of the motorcycle. what was the price of the motorcycle, not including the tax?

Mathematics · High School · Tue Nov 03 2020

Answered on

Given:

Lenny paid 12.5% which is $1437.50 

Determine the price of the motorcycle, not including the tax.

Solution:

In order to determine the price of the motorcycle, given the tax cost and the tax percentage, we must convert first the percentage into decimal. In converting a percentage into decimal, we must divide the percentage by 100, hence in converting a decimal into percentage, we must multiply by 100.

= 12.5/100

= 0.125

Now that we know the value of 12.5% in percentage, we must divide it with the tax cost, in order to determine the motorcycle's original price.

= $1437.50 / 0.125

= $11,500

The motorcycle price without including the tax is $11,500.