a real estate agent earned a commission of $3870 on the sale of an $86000 house. what was the selling price of a different home, if the real estate agent was paid the same rate of commission and earned $4950

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a real estate agent earned a commission of $3870 on the sale of an $86000 house

let his rate of commission be x,then

x% of $86000 = $3870

(x/100)* 86000 = 3870

x= 387000/86000

x = 4.5 %

so his commission is 4.5%

selling price of home for which rate of commission is $4950

let the selling price be y

then, 4.5% of y = $4950

(4.5/100)*y=$4950

y = 495000/4.5

y= 110000

so the selling price of home for which rate of commission is $4950 =$ 110000

ANSWER is

selling price=$110000

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