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# Hiking boots that cost 150 a pair are reduced by 40 for a special weekend sale By what percent must the special sales price be increased to bring the price back to 150?

Updated: 9/24/2023

Naomievans186

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Q: Hiking boots that cost 150 a pair are reduced by 40 for a special weekend sale By what percent must the special sales price be increased to bring the price back to 150?
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### Hiking boots that cost 150 a pair are reduced by 40 percent for a special weekend sale By what percent must the special sales price be increased to bring the price back to 150?

cost = 150 X = 100% = 1.00 = original percent Y = 40% = 0.40 = percent reduced Z = sale percent Reduction formula based on the above variables X and Y: X - Y = Z Z = 0.6 This means the boots are on sale for 60% of their original price, or 90 a pair. To bring 90 up to 150, simply use the following formula based on these variables: A = raised price B = sale price C = percent the sales price is raised by to reach the raised price A/B = C 150/90 = 1.67 Or, to increase the sales price of 90 to the raised price of 150, you would need to sell the boots for 167% of the sales price. 100% of the sales price is 90, so the increase is 67%.

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