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Friday, June 23, 2023

CFAT Practice Test Questions with Answers in PROBLEM SOLVING ps011

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1. An Ontario real estate agent received a $44,670 commission for selling a single detached home. His commission was 3% of the selling price. Calculate the selling price of the home. 


A. $1,489,000

B. $1,498,000

C. $1,849,000

D. $1,894,000


Answer:  A


Solution: 


Let 

S = selling price of the home


c = commission 


r = commission rate 



c = S * r



Given:

c = $44,670


r = 3%


substituting the given into the formula, 


c = S * r


44,670 = S * 3%

44,670 = S * 0.03

S = 44,670/0.03

S = $1,489,000




2. A motorcycle parts retailer's monthly total purchase on parts is $210,000. Monthly transportation costs are $3,000. Utilities costs $600 per month. Employee payroll costs are $17,000 monthly. Loan payments are $5,000 a month. Monthly rent is $6,000. Insurance cost is $500 a month. Maintenance cost and reserve fund expense is $3,000 per month. If the store owner's monthly sales revenue is $320,400, what is his monthly profit margin before taxes?


a. 25.3%

b. 23.5%  --- answer 

c. 32.5%

d. 24.3%


Solution: 


step 1: 

calculate total monthly expenses 


Total monthly expenses 

= 210,000  + 

        3,000  + 

           600  + 

      17,000  + 

        5,000  + 

        6,000  + 

           500  + 

        3,000 

--------------------------

  $245,100

  


step 2: 

calculate net income (profit) before taxes


= Total monthly sales revenue minus Total monthly expenses 


Net income (profit) before taxes 


= 320,400 - 245,100 


= $75,300



step 3:

calculate net profit margin before taxes


= (Net income before taxes

divided by Total monthly sales revenue) x 100%


= (75,300/320,400) 

    x 100%


= 23.5%

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