Write an Equation for the Word Problem $\frac{7}{8}$ The Suggested Retail Price

Write an equation for the word problem. Then solve and check.
-An automobile dealer sells cars at a price that is $\frac{7}{8}$ the suggested retail price $P$ , plus a $\$ 100$ handling fee. What is the suggested retail price of a car that the dealer sells for $\$ 13,953$ ?

A) $100+\frac{7}{8} \mathrm{P}=13,953 ; \$ 15,946$
B) $\frac{7}{8}(100+P) =13,953 ; \$ 15,832$
C) $100+\frac{7}{8} \mathrm{P}=13,953 ; \$ 15,832$
D) $\frac{7}{8}(100+P) =13,953 ; \$ 15,846$