Jonathan recently sold his home and was able to take home $423,000 after paying the real estate broker's commission of 6%. If the buyer was ultimately found through a buyer broker, the dollar commission will need to be split between the listing broker and buyer broker. If the buyer broker is entitled to 40% of the commission, what is her share of the commission rounded to the nearest dollar?

$10,800

Explanation:

What Jonathan took home was after paying the commission which means that the amount is 94% because 6% is the commission paid. This means that 6% of the amount can be found by:

6% of the Gross amount (per-commission)

= Amount * %age we want / %age we are at = ($423000 * 6%/94%) = $27,000

And out of this $27000 the amount she received is 40% so 40 percent is $10,800 ($27000 * 40%).