Question

A rare manuscript increased in value 400% over the past 4 years. This was an increase of $1,000. What was the value of the manuscript 4 years ago? What is the value of the manuscript now?The value of the manuscript 4 years ago was $.The manuscript is now worth $

Answer 1

Given

A rare manuscript increased in value 400% over the past 4 years.

This was an increase of $1,000.

To find:

a) What was the value of the manuscript 4 years ago?

b) What is the value of the manuscript now?

Step-by-step explanation:

It is given that,

A rare manuscript increased in value 400% over the past 4 years.

This was an increase of $1,000.

Then, let x be the value of manuscript 4 years ago.

That implies,

`\begin{gathered} 400\%*4x=1000+x \\ (400)/(100)*4x=1000+x \\ 16x=1000+x \\ 16x-x=1000 \\ 15x=1000 \\ x=(1000)/(15) \\ x=\text{ \$}66.67 \end{gathered}`

And, the value of the manuscript now is,

`\begin{gathered} 4x=4(66.67) \\ =\text{ \$}266.67 \end{gathered}`

Hence, the value of the manuscript is $66.67, and the value off the manuscript now is $266.67.