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 tax
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the statement:
Lenny bought a motorcycle. He paid 12.5% in tax. The tax added $1437.50 to the price of the motorcycle.
Determine the original price of the motorcycle not including the tax.
Solution:
Since we are given the tax rate, we must convert it first into decimal. In converting a percentage into decimal, divide the percentage by 100, hence in converting a decimal to percentage, multiply the percentage by 100.
= 12.5/100
= 0.125
Now we need to divide 0.125 by 1437.50 in order to determine the price of the motorcycle.
= $1437.50/0.125
= $11,500
Final answer:
= $11,500