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given the percent of cost and the cost, find the percent of markup, the…

Question

given the percent of cost and the cost, find the percent of markup, the markup, and the selling price. markup is based on selling price
51% c $120.00
? % m $?
100% s $?

solve for the missing numbers.

51% c $120.00
□% m $□
100% s $□
(round to the nearest cent, if necessary.)

Explanation:

Step1: Find the percent of markup

The percent of cost (C) is 51%, and the percent of selling price (S) is 100%. The percent of markup (M) is $100\% - 51\% = 49\%$.

Step2: Find the selling price

Let the selling price be $S$. We know that the cost $C = 120$ and $C$ is 51% of $S$. So we can set up the equation:
$$0.51S = 120$$
Solving for $S$:
$$S=\frac{120}{0.51}\approx235.29$$

Step3: Find the markup

The markup $M$ is the selling price minus the cost:
$$M = S - C = 235.29 - 120 = 115.29$$

Answer:

The percent of markup is $49\%$, the markup is $\$115.29$, and the selling price is $\$235.29$. So filling in the blanks: $49\%$ M $\$115.29$, $100\%$ S $\$235.29$.