Determine the total amount saved and the final pre-tax price for the successive discounts … — Armed Services Vocational Aptitude Battery (ASVAB)

Determine the total amount saved and the final pre-tax price for the successive discounts described below.

Answer:An auto parts store lists a set of all-terrain tires for a regular price of

\$800

. During a holiday event, the tires are marked down by

15\%

. A customer applies a military discount that takes an additional

10\%

off the already reduced sale price. The customer saves a total of

\$【188】

from the regular price, resulting in a final pre-tax price of

\$【612】

The total savings is

\$188

, and the final price is

\$612

To find successive discounts, each percentage must be applied to the current reduced price. First, a

15\%

discount on

\$800

reduces the price by

\$120

, making it

\$680

. Then, a

10\%

discount is applied to the

\$680

sale price, which reduces it by another

\$68

. The final price is

\$680 - \$68 = \$612

. The total amount saved is the sum of both discounts,

\$120 + \$68 = \$188

Calculate the first discount amount.

\$800 \times 0.15 = \$120

Find the dollar value of the initial

15\%

holiday mark-down.

Calculate the intermediate sale price.

\$800 - \$120 = \$680

Subtract the first discount from the regular price to find the new base price for the second discount.

Calculate the second discount amount.

\$680 \times 0.10 = \$68

Apply the

10\%

military discount to the intermediate sale price, not the original price.

Determine the total savings and final price.

Total savings:

\$120 + \$68 = \$188

. Final price:

\$800 - \$188 = \$612

Combine both discount amounts to find the total saved, and subtract from the original price to find the final price.

Calculating successive discounts requires applying the second percentage to the newly reduced price, rather than adding the percentages together.

Estimated Time:1m 30s

Question