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When Leo imported a certain item, he paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that Leo paid was $87.50, what was the total value of the item?
  • a)
    $1,600
  • b)
    $1,850
  • c)
    $2,250
  • d)
    $2,400
  • e)
    $2,750
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
When Leo imported a certain item, he paid a 7 percent import tax on th...
Since we know Leo pays 7% of the amount that is in excess of $1000
We can assume 'x' to be the excess amount. Then 7 percent of x = 87.50 => x = 1250.
Hence total value = 1000 + 1250 = 2250. Hence (C)
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Most Upvoted Answer
When Leo imported a certain item, he paid a 7 percent import tax on th...
Understanding the Problem
When Leo imported an item, he paid a 7 percent tax on the amount that exceeded $1,000. The total import tax he paid was $87.50. We need to determine the total value of the item.
Calculating the Amount Subject to Tax
- The tax is applied only to the portion of the item's value that exceeds $1,000.
- Let the total value of the item be represented as "V."
- The taxable amount is then V - $1,000.
Setting Up the Equation
- The tax rate is 7 percent, so the tax paid can be expressed as:
- Tax = 0.07 * (V - $1,000)
- According to the problem, this tax equals $87.50:
- 0.07 * (V - $1,000) = $87.50
Solving for Total Value (V)
- To isolate (V - $1,000), divide both sides by 0.07:
- V - $1,000 = $87.50 / 0.07
- V - $1,000 = $1,250
- Now, add $1,000 to both sides to find V:
- V = $1,250 + $1,000
- V = $2,250
Conclusion
- The total value of the item is $2,250.
- Therefore, the correct answer is option 'C'.
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When Leo imported a certain item, he paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that Leo paid was $87.50, what was the total value of the item?a)$1,600b)$1,850c)$2,250d)$2,400e)$2,750Correct answer is option 'C'. Can you explain this answer?
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