Please help me solve this word problem.?

Question

The amount of money that salesperson makes varies directly as the total amount of sales made. If the salesperson receives $7,500 for selling a house for $120,000, how much will he or she make if he/she sells a house for $150,000?

Your help would be very much appreciated. Thank you

Answer 1

7 500/120000=6.25%

6.25%of150000
$9375

Answer 2

This question deals with direct proportion.

If selling a house worth $120000 gives the salesperson $7500, then selling a house for $150000 will earn the salesperson (7500x150000)/120000 = $9375.

Answer 3

"The amount of money that salesperson makes varies directly as the total amount of sales made." is another way to say the sales person makes a flat percentage of the total price in sales. Let s = the amount the sales person makes, p = the total price, and r = the rate the sales person earns, you can say this:

s = p * r

To find the rate, plug in the two given numbers (s and p) and solve for r:

7500 = 120000r
.0625 = r

Now that you know r, you can use it to answer the question. They give you p (which is 150000) so plug them in and solve for s:

s = 150000 * .0625
s = 9375

There you go. The sales person makes $9,375.

Answer 4

One way: Find the percent commission.

$7500/$120,000 x 100% = 6.25%

Then use that to find the commission on the other house.

$150,000 x 6.25% = $9375

Second way: Do it by proportions. Let x be the commission on the second house.

$7500/$120,000 = x/$150,000

Cross-multiply and divide.

$7500 x $150,000 = $120,000x

x = $7500 x $150,000/$120,000 = $9375

Answer 5

I suppose one has to figure the comission in terms of the percentage of the total sale.

7500/120000 = 0.0625 = 6.25% of total sale

if total sale = 150000 then the comission ought to be 9375

Answer 6

7500:120000 as x:1500000

120000x=7500*150000= x=9375

Answer 7

M = k S (M= money made, S = Sell Price
7500 =120000k
k = .0625
M= .0625S
M= .0625*150000 = $9,375