Question

Answer each of the following questions. Show work on this page. Do not use a calculator.

1. Crazy Carl's Pants Palace is having a 30% off sale. If a pair of jeans is originally $35.00, what is the current sale price?
2. Travis makes a 6% commission on the final sale price of all the homes he sells each month. If he sells $240,000 worth of homes this month, how much commission will he make?
3. You want to buy a new laptop. You see that Supertech is running a sale that has 10% off everything on their website. You also have a discount code for 25% off a final sale price. If the computer you want costs $800 originally, what will be your sale price after the two discounts?
4. Max owes Bob some money. When Bob loaned Max the money, they agreed on an interest rate of 20%. If Max pays off his entire loan with $144, how much was the original loan amount? 5. What is 40% of 480 ? 6. What is 8/7 of 200? 7. What is 92% of $350 ? 8. What is 250% of 4,600 ? 150 is 60%of what number? 10. 1,800 is 3/2
of what number?

Answer 1

This detailed answer provides step-by-step explanations and examples for various math problems involving discounts, commissions, interest rates, percentages, and calculations of a fraction of a number.

Step-by-step explanation:

1. To find the discount amount, multiply the original price by the discount percentage:

$35.00 x 0.30 = $10.50.

Subtract the discount amount from the original price to find the current sale price:

$35.00 - $10.50

= $24.50.

2. Travis makes a 6% commission on the final sale price of all the homes he sells each month.

If he sells $240,000 worth of homes this month, how much commission will he make?

To find the commission amount, multiply the sale price by the commission rate:

$240,000 x 0.06

= $14,400.

3. First, find the amount of the first discount by multiplying the original price by the first discount percentage:

$800 x 0.1 = $80.

Subtract the first discount amount from the original price to find the discounted price after the first discount:

$800 - $80 = $720.

Next, find the amount of the second discount by multiplying the discounted price after the first discount by the second discount percentage: $720 x 0.25 = $180.

Subtract the second discount amount from the discounted price after the first discount to find the final sale price:

$720 - $180 = $540.

4. If Max pays off his entire loan with $144, how much was the original loan amount?

First, divide the repayment amount by 1 plus the interest rate as a decimal:

$144 ÷ (1 + 0.20)

= $120.

5. To find 40% of 480, multiply 480 by 0.40:

480 x 0.40

= 192.

6. What is 8/7 of 200?

To find 8/7 of 200, multiply 200 by 8/7:

200 x 8/7

= 228.57.

7. To find 92% of $350, multiply $350 by 0.92:

$350 x 0.92

= $322.

8. To find 250% of 4,600, multiply 4,600 by 2.50:

4,600 x 2.50

= 11,500.

9. To find the number that is 60% of 150, divide 150 by 0.60:

150 ÷ 0.60

= 250.

10. To find the number that is 3/2 of 1,800, multiply 1,800 by 2/3:

1,800 x 2/3

= 1,200.