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A rare manuscript increased in value by 700% over the past 4 years. This was an increase of $1,750.

1. What was the value of the manuscript 4 years ago?
2. What is the value of the manuscript now?

Answer :

Final answer:

The original value of the manuscript was $250, and after a 700% increase (which amounts to $1,750), its current value is now $2,000.

Explanation:

A rare manuscript increased in value by 700% over the past 4 years, which corresponds to an increase of $1,750. The question asks for the original value of the manuscript, as well as its present value. To find the original value, we consider the fact that a 700% increase multiplies the original value by 8 (since 100% + 700% = 800%, or 8 times the original value). We can set up the equation:

  • Original Value imes 8 = Original Value + $1,750

Since the increase was $1,750, this is equal to the value of the manuscript multiplied by 7 (since 700% of the original value is the increase). Therefore, we have:

  • Original Value imes 7 = $1,750

To solve for the original value, we divide $1,750 by 7:

  • Original Value = $1,750 / 7 = $250

The original value of the manuscript was $250 four years ago. To find the current value, we add the increase to the original value:

  • Current Value = Original Value + $1,750 = $250 + $1,750 = $2,000

The current value of the manuscript is therefore $2,000.

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