When 85 percent of a number is added to 18, then the result is that number only. What is the value of the number?

Correct option is C

Given:
When 85% of a number is added to 18, the result is the number itself.

Solution:

​$$\frac{85}{100}x + 18 = x \\\ \\\Rightarrow x - \frac{85}{100}x = 18 \\\ \\\Rightarrow \left(1 - \frac{85}{100}\right)x = 18 \\\ \\\Rightarrow \frac{15}{100}x = 18 \\\ \\\Rightarrow x = \frac{18 \times 100}{15} = 120\\[10pt]\boxed{\text{Final Answer: } 120}$$​​