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Zorluk: OrtaDiscounts and Sale Prices

A fleet manager is purchasing a replacement heavy-duty transmission. The original price of the transmission is $3,200\$3,200. The supplier offers a 15%15\% commercial discount, and an additional 5%5\% discount off the reduced price if the invoice is paid within 1010 days. If the manager pays the invoice on the same day, what is the final price of the transmission before any taxes?

  1. A
    $2,560\$2,560
  2. $2,584\$2,584Cevap
  3. C
    $616\$616
  4. D
    $3,180\$3,180

Cevap

The final price of the transmission is $2,584\$2,584.
The correct answer accurately calculates the successive discounts step by step. First, a 15%15\% discount on $3,200\$3,200 saves $480\$480, bringing the price to $2,720\$2,720. Then, a 5%5\% discount on the new price of $2,720\$2,720 saves $136\$136, resulting in a final price of $2,584\$2,584.

Adım Adım Çözüm

1
Calculate the price after the first discount of 15%15\%.
$3,200×0.15=$480\$3,200 \times 0.15 = \$480 in savings. The new price is $3,200−$480=$2,720\$3,200 - \$480 = \$2,720.
The commercial discount is applied to the original price of the item.
2
Calculate the final price after the second discount of 5%5\%.
$2,720×0.05=$136\$2,720 \times 0.05 = \$136 in savings. The final price is $2,720−$136=$2,584\$2,720 - \$136 = \$2,584.
Successive (chain) discounts are always applied to the previously reduced price, not the original price.

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Discounts and Sale Prices
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Discounts and Sale Prices

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