Question

Rob, a car salesmen, had total sales of 846000 in 2023. He earned 7% in commissions on those sales. After taxes, rob only nets 66% of what he earned in commissions for the year. On Friday, he received a paycheck that was 5% of his earnings. He immediately paid tree bills: mortgage ($1080), electricity ($233), and internet ($149). Next, rob goes grocery shopping. His total comes to $129.40 before using a 10% coupon. Since he still had some money left, rob decides to go to shopping. He finds one with a list price of $350 plus 6% sales tax. Does rob have enough money to purchase the tv? If so, how much money will he have left after purchasing the tv?

Answer 1

After calculating commissions, taxes, and expenditures, Rob's leftover amount after purchasing groceries is $375.80.

The TV costs $371 including tax, hence Rob has enough money to purchase the TV, with $4.80 remaining afterwards.

Step-by-step explanation:

First, let's calculate Rob's commission earnings from his total sales:

• Total sales: $846,000
• Commission rate: 7%
• Commission earned: $846,000 × 0.07 = $59,220

After taxes, Rob nets 66% of his commission earnings:

• Net commission: $59,220 × 0.66 = $39,085.20

Rob's paycheck on Friday is 5% of his net earnings:

• Paycheck: $39,085.20 × 0.05 = $1,954.26

He pays his bills (mortgage, electricity, and internet):

• Total bills: $1,080 + $233 + $149 = $1,462
• After bills: $1,954.26 - $1,462 = $492.26

Next, he goes grocery shopping and uses a 10% coupon:

• Groceries before coupon: $129.40
• Savings with coupon: $129.40 × 0.10 = $12.94
• Groceries after coupon: $129.40 - $12.94 = $116.46
• After groceries: $492.26 - $116.46 = $375.80

For the TV, we include 6% sales tax:

• TV price: $350
• Sales tax: $350 × 0.06 = $21
• Total cost with tax: $350 + $21 = $371

Does Rob have enough to purchase the TV?

• Yes, Rob has $375.80 which is more than the total cost of the TV, $371.
• After purchasing the TV: $375.80 - $371 = $4.80 left.