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Diana, a salesperson, took a listing on a house that sold for $129,985. The commission rate was 8 percent. Carol, a salesperson employed by another broker, found the buyer. Diana's broker received 60 percent of the commission on the sale; Carol's broker received 40 percent. If Diana's broker kept 30 percent, and paid Diana the remainder, how much did she earn on this sale? a. $1,247.86 c. $4,367.50 b. $2,911.66 d. $6,239.28

Diana, a salesperson, took a listing on a house that sold for $129,985 \$ 129,985 . The commission rate was 88 percent. Carol, a salesperson employed by another broker, found the buyer. Diana's broker received 6060 percent of the commission on the sale; Carol's broker received 4040 percent. If Diana's broker kept 3030 percent, and paid Diana the remainder, how much did she earn on this sale?\newlinea. $1,247.86 \$ 1,247.86 \newlinec. $4,367.50 \$ 4,367.50 \newlineb. $2,911.66 \$ 2,911.66 \newlined. $6,239.28 \$ 6,239.28

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Q. Diana, a salesperson, took a listing on a house that sold for $129,985 \$ 129,985 . The commission rate was 88 percent. Carol, a salesperson employed by another broker, found the buyer. Diana's broker received 6060 percent of the commission on the sale; Carol's broker received 4040 percent. If Diana's broker kept 3030 percent, and paid Diana the remainder, how much did she earn on this sale?\newlinea. $1,247.86 \$ 1,247.86 \newlinec. $4,367.50 \$ 4,367.50 \newlineb. $2,911.66 \$ 2,911.66 \newlined. $6,239.28 \$ 6,239.28
  1. Calculate Total Commission: First, calculate the total commission from the sale of the house by multiplying the sale price by the commission rate.$129,985×0.08=$10,398.80\$129,985 \times 0.08 = \$10,398.80
  2. Split Commission Between Brokers: Next, split the total commission between Diana's broker and Carol's broker according to their respective shares.\newlineDiana's broker gets 6060\% of $10,398.80\$10,398.80, which is $10,398.80×0.60=$6,239.28\$10,398.80 \times 0.60 = \$6,239.28
  3. Calculate Diana's Broker's Share: Carol's broker gets the remaining 40%40\%, but we don't need to calculate this for Diana's earnings.
  4. Calculate Diana's Earnings: Now, calculate how much Diana's broker keeps from their share of the commission.\newlineDiana's broker keeps 3030\% of $6,239.28\$6,239.28, which is $6,239.28×0.30=$1,871.78\$6,239.28 \times 0.30 = \$1,871.78
  5. Subtract Broker's Share from Total: Finally, subtract the amount Diana's broker keeps from their total share to find out how much Diana earns.\newline$6,239.28−$1,871.78=$4,367.50\$6,239.28 - \$1,871.78 = \$4,367.50

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