To solve the problem "0.2% of what number is 12?" follow these steps:
1. Understand the Problem: We need to find a number such that 0.2% of this number equals 12.
2. Set Up the Equation: Let the unknown number be [tex]\( x \)[/tex]. Mathematically, we express the condition as follows:
[tex]\[
0.2\% \times x = 12
\][/tex]
3. Convert the Percentage to a Decimal: The percentage 0.2% can be written as a decimal by dividing by 100:
[tex]\[
0.2\% = \frac{0.2}{100} = 0.002
\][/tex]
4. Form the Equation in Terms of x: Substitute 0.002 for 0.2% in the equation:
[tex]\[
0.002 \times x = 12
\][/tex]
5. Solve for [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], divide both sides of the equation by 0.002:
[tex]\[
x = \frac{12}{0.002}
\][/tex]
6. Calculate the Value: Perform the division to find [tex]\( x \)[/tex]:
[tex]\[
x = 6000
\][/tex]
Therefore, [tex]\( 0.2\% \)[/tex] of 6000 is 12, making the correct answer A 6000.
