Find the cost and selling price when the markup is $ 9.75 and the rate of markup based on cost is 25.30%. Find the cost and selling price. Round amounts to the nearest cent and percents to the nearest tenth of a percent.
A.
Cost: $48.29
Selling price: $38.54
B.
Cost: $9.75
Selling price: $19.50
C.
Cost: $38.54
Selling price: $48.29
D.
Cost: $0.39
Selling price: $10.14

Question

Find the cost and selling price when the markup is $ 9.75 and the rate of markup based on cost is 25.30​%. Find the cost and selling price. Round amounts to the nearest cent and percents to the nearest tenth of a percent.
A.
​Cost: ​$48.29
Selling​ price: ​$38.54
B.
​Cost: ​$9.75
Selling​ price: ​$19.50
C.
​Cost: ​$38.54
Selling​ price: ​$48.29
D.
​Cost: ​$0.39
Selling​ price: ​$10.14

Vocaloid · Answer

"markup is $ 9.75 and the rate of markup based on cost is 25.30​%"

is another way of saying, "if a number is increased by 25.30%, the amount of increase = 9.75)

or in an equation, 9.75 = (.2530) * x where x is the original price 
once you solve for x you'll have your original cost. since all 4 answer choices have different costs, you actually don't need to solve for the selling price to get the right answer.