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Zorluk: OrtaPercentage Change, Markups, and Discounts

Read the scenario below and calculate the final selling price.

Cevap:A mechanic buys a used car for $3,500\$3,500 and spends $500\$500 on replacement parts. He marks up his total investment by 25%25\% to set the asking price. A customer then negotiates a 10%10\% discount off this asking price. The final selling price of the car is $\$【4500】.

Cevap

4500
The total investment is the sum of the car and parts ($4,000\$4,000). The 25%25\% markup is calculated on this total base, resulting in a $5,000\$5,000 asking price ($4,000×1.25\$4,000 \times 1.25). Finally, the 10%10\% discount is calculated sequentially on the new $5,000\$5,000 asking price, giving a final selling price of $4,500\$4,500 ($5,000×0.90\$5,000 \times 0.90).

Adım Adım Çözüm

1
Calculate the mechanic's total investment.
$3,500+$500=$4,000\$3,500 + \$500 = \$4,000
The markup is applied to the total cost, which includes both the initial purchase price and the cost of the replacement parts.
2
Calculate the asking price by applying the 25% markup to the total investment.
$4,000×1.25=$5,000\$4,000 \times 1.25 = \$5,000
A 25%25\% markup means the asking price is 125%125\% of the total investment.
3
Calculate the final selling price by applying the 10% discount to the asking price.
$5,000×0.90=$4,500\$5,000 \times 0.90 = \$4,500
The discount is taken off the new marked-up asking price, leaving 90%90\% of that price to be paid.

Anahtar Kavram

Calculating successive percentage changes by updating the base amount for each step.
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