The price of a sailboat increased from $12000 to $15000. What was the percent increase?

Rationale

The percent increase in the price of the sailboat is 25%.

To find the percent increase, we calculate the difference between the new price and the original price, divide by the original price, and multiply by 100. Here, the increase is $3,000, which, when divided by the original price of $12,000, gives us a 25% increase.

A (2.50%) YOUR ANSWER

This choice represents a very small percent increase, which does not accurately reflect the actual increase of $3,000 from the original price of $12,000. A percent increase of 2.50% would suggest a much smaller increase of only $300, which is incorrect.

B (7.50%) YOUR ANSWER

A 7.50% increase would imply an increase of $900 (7.5% of $12,000). This is still far less than the actual increase of $3,000, indicating a significant underestimation of the percent change in price.

C (20%) YOUR ANSWER

This option suggests a percent increase of 20%, which calculates to an increase of $2,400 (20% of $12,000). However, since the actual price increase is $3,000, this answer also underrepresents the increase and is thus incorrect.

D (25%) CORRECT

This is the correct calculation, as the increase from $12,000 to $15,000 is indeed $3,000. When we compute the percent increase, ($3,000 / $12,000) * 100 equals 25%. This accurately represents the increase.

E (75%) YOUR ANSWER

A 75% increase would indicate an increase of $9,000 (75% of $12,000), leading to a total price of $21,000. This is not only incorrect but significantly greater than the actual new price of $15,000.

Conclusion

The calculation of the percent increase in the sailboat's price reveals a clear understanding of how financial changes are measured. The increase from $12,000 to $15,000 correctly results in a 25% rise, reflecting the substantial growth in cost. All other options either significantly underestimate or overestimate the change, but 25% accurately captures the true increase.

The price of a sailboat increased from $12000 to $15000. What was the percent increase?

The percent increase in the price of the sailboat is 25%.

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