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If the price of a dress is raised by 50%, lowered by 30%, and then lowered by 20%, what is the overall percent change in the price?

Correct Answer:

**B**Assume the dress costs $100 and perform the subsequent adjustments. Compare the final price with $100.

- For simplicity, we may assume that the dress cost $100. We choose $100 because 100 is an excellent number to use when working with percents.
- Raising the price by 50% is the same as multiplying by:

(100+50)/100 = 150/100 = 3/2

100(3/2) = 150 - Similarly, lowering the price by 30% can be done by multiplying the new price by:

(100-30)/100 = 70/100 = 7/10

150(7/10) = 135 - Finally, we multiply this price by:

(100-20)/100 = 80/100 = 4/5

135(4/5) = 84 - To find the percent change we subtract the original price from the final price and divide the difference by the original price and multiply by 100 to get a percent.

((84-100)/100)*(100%) = -16% - The answer is B