a nail salon pays $2500 in rent per month and each nail technicians get paid $20 per client visit. supplies…

a nail salon pays $2500 in rent per month and each nail technicians get paid $20 per client visit. supplies cost $500 per month. at 150 client visits per month, how much does the salon have to mark up each visit, percentage - wise, to break even at the end of the month.\n50%\n100%\n200%\n25%

a nail salon pays $2500 in rent per month and each nail technicians get paid $20 per client visit. supplies cost $500 per month. at 150 client visits per month, how much does the salon have to mark up each visit, percentage - wise, to break even at the end of the month.\n50%\n100%\n200%\n25%

Answer

Explanation:

Step1: Calculate total monthly costs

The rent is $2500 and supplies cost $500. Technicians earn $20 per client visit and there are 150 client - visits. So the labor cost is $20×150 = $3000. The total cost $C$ is $C=2500 + 500+3000=6000$.

Step2: Calculate the base revenue without markup

The base revenue from 150 client - visits at $20 per visit is $R_0 = 20×150=3000$.

Step3: Let the markup percentage be $x$.

The new revenue $R$ with markup is $R = 3000(1 + x)$. We want to break - even, so $R = C$. That is $3000(1 + x)=6000$.

Step4: Solve for $x$.

Divide both sides of the equation $3000(1 + x)=6000$ by 3000: $1 + x=\frac{6000}{3000}=2$. Then $x = 2 - 1=1$, which means $x = 100%$.

Answer:

100%