Question 20

The discounted price in dollars is represented by 0.88d.

When an item regularly costs d dollars and is discounted by 12 percent, the price after the discount is calculated by multiplying the original price by the remaining percentage, which is 88 percent, or 0.88.

A) 0.12d

This option represents the amount of the discount rather than the final price of the item after applying the discount. It indicates 12 percent of the original price, which does not answer the question about the discounted price.

B) 0.88d

This option correctly represents the discounted price after a 12 percent reduction on the original price. By taking 100 percent of the price and subtracting 12 percent, we are left with 88 percent, which is expressed as 0.88d.

C) 1.12d

This option incorrectly suggests an increase in price, representing 112 percent of the original price. It does not apply to a discount scenario and thus does not answer the question.

D) d-0.12

While this option attempts to represent the discounted price, it is not correctly formulated. The expression implies a flat deduction of 0.12 dollars rather than the 12 percent discount on the original price, which would vary depending on the value of d.

Conclusion

The correct representation of the discounted price is 0.88d, as it accurately reflects the price after applying a 12 percent discount on an item priced at d dollars. All other options either miscalculate the discount or represent the incorrect final price.