Problem Solving

To offset miscellaneous costs, a dealership decides to increase the prices of all of its motorcycles by 7 percent plus an additional $350. One motorcycle incurs a 9 percent increase in price because of these changes. What was the original price of this motorcycle?

(A) $15,000
(B) $16,300
(C) $16,500
(D) $17,500
(E) $18,500

OA is D

The wording of this question seems ambiguous
Here's a solution from the Book(veritas):-

Here we apply a percent increase plus a surcharge to yield a larger percent increase. If the original price is our unknown x, we can describe the relationship as 1.07x + 350 = 1.09x. Algebra demands that we subtract 1.07x from both sides, yielding $350 = .02x. Multiply both sides by 50 to get x = $17500, or D.

In my opinion, the highlighted part above doesn't match the given question.

Dealership decides to increase the prices of all of its motorcycles by 7 percent + additional $350.

So, let the price of all of its motorcycles = x
So, after increase = 1.07x + 350

Now, One motorcycle incurs a 9 percent increase in price. What was the original price of this motorcycle?

Let the price of this one motorcycle be y which is increased by 9 percent = 1.09y
I need to find y
My equation becomes --> 1.07x + 350 = 1,09y

I think the wording of the question is ambiguous. Price of all its motorcycles v/s Price of this one motorcycle.
How can there be one variable X for both the above (All V/s This One)

Thanks