At a certain real estate firm, realtors selling homes receive a commission of: 7% for the first $100,000 of the selling price, and 6% for any amount exceeding $100,000. A realtor for the firm received $7,540 for selling a house. What was its selling Commision 71. (100,000+ 31. (X - The house sold for $ price?

Answer: The actual price of house sold at $109000.Step-by-step explanation:Since we have given that Selling price = $100000Rate of commission = 7%So, Amount of commission would be [tex]\dfrac{7}{100}\times 100000\\\\\=\$7000[/tex]Total commission = $7540So, Remaining amount of commission would be [tex]\$7540-\$7000\\\\=\$540[/tex]Rate of commission exceeding $100000 = 6%Let the selling price of house be 'x'.According to question, [tex]\dfrac{6}{100}\times x=540\\\\0.06x=540\\\\x=\dfrac{540}{0.06}\\\\x=\$9000[/tex]Hence, the actual price of house sold at $100000+$9000=$109000.