Question

# During a month's time, an automobile sales person receives a 6% commission on the first $5000 in sales, a 7% commission on the next$5000 sales, 8% commission on anything over $10,000. What is her commission for$36,000 in sales?

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## Answer to a math question During a month's time, an automobile sales person receives a 6% commission on the first $5000 in sales, a 7% commission on the next$5000 sales, 8% commission on anything over $10,000. What is her commission for$36,000 in sales?

Hester
4.8
Answer: The commission for $36000 in sales is$2,730.

Solution: To calculate the commission for $36,000 in sales, we can break down the sales amount into different tiers based on the commission rates. Step 1: Calculate the commission for the first$5,000 in sales at a 6% commission rate.

Commission for the first 5,000 = 5,000 * 0.06

Step 2: Calculate the commission for the next $5,000 in sales at a 7% commission rate. Commission for the next 5,000 = 5,000 * 0.07 Step 3: Calculate the commission for the sales amount over$10,000 at an 8% commission rate.

Sales amount beyond 10,000 = 36,000 - $10,000 Commission for the sales beyond 10,000 = $Sales amount beyond 10,000$ * 0.08 Step 4: Calculate the total commission by adding the commissions from each tier. Total commission = Commission for the first 5,000 + Commission for the next 5,000 + Commission for the sales beyond$10,000

Now let's plug in the values:

Total commission = $5,000 * 0.06$ + $5,000 * 0.07$ + $( 36,000 - 10,000$ * 0.08)

Total commission = 300 + 350 + $$26,000 * 0.08$ Total commission = 300 + 350 +$2,080
Total commission = 2730

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