Read the scenario below and fill in the missing financial values.

Answer:A musician is purchasing a new drum kit for

\$1,200

and a set of cymbals for

\$400

. The music store is running a promotion that offers a

15\%

discount on the total purchase if it exceeds

\$1,000

. After the discount is applied, a

6\%

state sales tax is added to the sale price.

Based on this information, the total amount saved from the discount is

\$【240】

, and the final amount paid after tax is

\$【1441.60】

The discount amount is

\$240

, and the final total paid is

\$1,441.60

The solution requires finding the total original price of

\$1,600

. The

15\%

discount on this amount is

\$240

, leaving a sale price of

\$1,360

. Finally, calculating a

6\%

sales tax on

\$1,360

adds

\$81.60

, bringing the final total to

\$1,441.60

Calculate the total original price of the items.

\$1,200 + \$400 = \$1,600

To find the base amount before any discounts are applied.

Calculate the discount amount.

15\%

\$1,600 = 0.15 \times 1600 = \$240

Since the purchase exceeds

\$1,000

, the

15\%

discount applies to the total original price. This provides the first missing value.

Calculate the sale price before tax.

\$1,600 - \$240 = \$1,360

Subtracting the discount from the original price gives the taxable amount.

Calculate the sales tax.

6\%

\$1,360 = 0.06 \times 1360 = \$81.60

Sales tax is calculated based on the discounted sale price.

Calculate the final total paid.

\$1,360 + \$81.60 = \$1,441.60

Adding the sales tax to the sale price yields the final cost. This provides the second missing value.

Calculating a percentage discount on a total sum and then applying sales tax to the discounted price.

You can calculate the final price in one continuous equation by multiplying the original price by the complement of the discount (

1 - 0.15 = 0.85

) to get the sale price, and then multiplying by the tax multiplier (

1 + 0.06 = 1.06

\$1,600 \times 0.85 \times 1.06 = \$1,441.60

Estimated Time:1m 30s

Question