Broker P charges a commission of $8.50 for every ten shares of stock, and Broker Q charges a fee of $65.00 for every thousand dollars bought or sold. If stock in Ergar Appliances costs $18.75 per share and you buy 500 shares, which broker is the better deal, and by how much? a. Broker Q will charge $375.35 less than Broker P. b. Broker Q will charge $160.22 less than Broker P. c. Broker P will charge $184.38 less than Broker Q. d. Broker P will charge $425.00 less than Broker Q.
we are given with two charges: in which we can use to compute the difference of the two brokers when the share is 500 costing 18.75 each. In this case, broker P is equal to P8.50/10 500 equal to P425. Broker Q is equal to $65/ 1000 (18.75*500) equal to P609.375. The difference is P184.38
Answer:
c. Broker P will charge $184.38 less than Broker Q
Step-by-step explanation:
Total number of shares bought = 500
Price of 1 share = $18.75
So, total price of 500 shares = \(500*18.75=9375\)
Broker P :
He charges a commission of $8.50 for every ten shares of stock. So, his commission here becomes: @@MATH_TOKEN_1@@
He will charge $425.
Broker Q:
He charges a fee of $65.00 for every thousand dollars bought or sold.
Now, the shares are bought for $9375 which means $9000+375 shares.
His commission becomes : @@MATH_TOKEN_2@@ +@@MATH_TOKEN_3@@
= 585+24.375 = $609.375
He will charge $609.375
Difference between the charges of both the brokers :
= @@MATH_TOKEN_4@@=184.375 ≈$184.38
Hence, option C is correct.