Basic Mathematics for College Students

Chapter 6 Summary and Review 581

To find the sale priceof an item, subtract the
discount from the original price.

Sale priceoriginal pricediscount

The discount on the tool kit is $31.48. To find the sale price, we use

subtraction.

Do the subtraction.

The sale price of the tool kit is $58.47.

$58.47

 $89.95  $31.48

Sale priceoriginal pricediscount

The difference between the original price and
the sale price is the amount of discount.



sale

price

original

price

Amount of

discount

FURNITURE SALES Find the discount rate on a living room set

regularly priced at $2,500 that is on sale for $1,870. Round to the

nearest one percent.

We will think of this as a percent-of-decrease problem.The discount

(decrease in price) is found using subtraction.

Discount original price sale price

The living room set is discounted $630. Now we find what percent of

the original price the $630 discount represents.

Drop the dollar signs. To isolate x

on the right side of the equation,

divide both sides by 2,500.

On the right side of the equation,

remove the common factor of

2,500 from the numerator and

denominator. On the left side,

divide 630 by 2,500.

Write the decimal 0.252 as a percent.

Round to the nearest one percent.

To the nearest one percent, the discount rate on the living room set is

25%.

25%x

025 .2%x

0.252

x2,500

1

2,500

1

630

2,500



x2,500

2,500

$630  x  $2,500

Amount of discountdiscount rateoriginal price

$2,500$1,870$630



49. SALES RECEIPTS Complete the sales receipt
    shown below by finding the sales tax and total cost
    of the camera.


50. SALES TAX RATES Find the sales tax rate if the
    sales tax is $492 on the purchase of an automobile
    priced at $12,300.

35mm Canon Camera

SUBTOTAL

SALES TAX @ 5.5%

TOTAL

$59.99

$59.99

?

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REVIEW EXERCISES

51. COMMISSIONS If the commission rate is 6%, find
    the commission earned by an appliance salesperson
    who sells a washing machine for $369.97 and a dryer
    for $299.97.


52. SELLING MEDICAL SUPPLIES A salesperson
    made a commission of $646 on a $15,200 order of
    antibiotics. What is her commission rate?


53. T-SHIRT SALES A stadium owner earns a
    commission of of the T-shirt sales from any
    concert or sporting event. How much can the owner
    make if 12,000 T-shirts are sold for $25 each at a
    soccer match?


54. Fill in the blank: The percent of increase (or
    decrease) is a percent of the number, that
    is, the number before the change occurred.

33 13 %