If you have $200 and spend $75, what percentage of your original amount have you spent?

To determine the percentage of the original amount spent, you need to calculate what portion of the initial total ($200) corresponds to the amount spent ($75). The formula to calculate the percentage spent is:

[

\text{Percentage spent} = \left(\frac{\text{Amount spent}}{\text{Original amount}}\right) \times 100

]

Plugging in the values gives:

[

\text{Percentage spent} = \left(\frac{75}{200}\right) \times 100

]

Calculating the fraction first:

[

\frac{75}{200} = 0.375

]

Now multiply by 100 to convert it to a percentage:

[

0.375 \times 100 = 37.5%

]

This shows that spending $75 from the original amount of $200 corresponds to 37.5% of the total. Thus, the correct option reflects the accurate calculation of the percentage spent.