Given:
Current value = $552000.
Value increased = 15%
Find-:
The purchased value
Explanation-:
Let purchased value = x
Value increased by 15%
Then,
[tex]\begin{gathered} \therefore100\text{ purchased value then current value}=115 \\ \\ \because1\text{ purchased value then current value}=\frac{115}{100} \\ \\ \because x\text{ purchased value then current value}=\frac{115}{100}\times x \end{gathered}[/tex]The current value is $552000.
Then purchased value is:
[tex]\begin{gathered} 552000=\frac{115}{100}\times x \\ \\ x=\frac{552000\times100}{115} \\ \\ x=\frac{55200000}{115} \\ \\ x=480000 \end{gathered}[/tex]So the purchased value is 480000.