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?

Answer 1

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%.