A man buys furniture that has a list price of $255. He is allowed a discount of 12% but must pay a sales tax of 3% on the cost. The amount he actually pays is: (A) $217.67 (B) $231.13 (C) $224.40 (D) $232.50 (E) none of these

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Answer:

  (B)  $231.13

Step-by-step explanation:

The discount multiplies the list price by (1 -12%) = 0.88. The tax multiplies the price by (1 +3%) = 1.03. When these two factors are applied to the price, it becomes ...

  $255×0.88×1.03 = $231.132 ≈ $231.13

The amount he actually pays is $231.13.

fichoh

The actual amount which the man paid is $231.132

List price of furniture = $255

Discount = 12%

Sales tax = 3%

The discount on the list price :

(1 - discount) × list price

(1 - 12%) × 255

(1 - 0.12) × 255

0.88 × 255 = $224.4

Discounted price of furniture = $224.4

The sales tax on cost :

Sales tax × discounted price

3% × $224.4

0.03 × $255 = $6.732

Actual amount paid :

Discounted price + sales tax on cost

$224.4 + $6.732

= $231.132

The actual amount paid is $231.132

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