The result of increasing the quantity x by 400% is60. What is the value of x ?A) 12B) 15C) 240D) 340

1. Break Down the Problem

To find the value of $x$ when it is increased by 400% to equal 60, we can express the increase mathematically. Increasing $x$ by 400% means that the new value is $x + 4x = 5x$.

2. Relevant Concepts

The equation can be set up as follows: $5x = 60$

3. Analysis and Detail

Now, solving for $x$: $x = \frac{60}{5} = 12$

4. Verify and Summarize

The calculations are valid, as substituting back into the problem shows that increasing 12 by 400% (which equals 48) results in a total of 60. Thus, the value of $x$ is verified.

Final Answer

The value of $x$ is $\boxed{12}$.