A purchase is made under the following conditions. There is no tax added to the total cost. There is a 25% discount due to a sale, another 10% discount because of the size of the purchase, and a 3% discount for paying cash. These discounts are successive. That is, they are taken one after the other. The customer paid $195.89. What was the original purchase price before any discounts were considered.
Alternate Problem 17
On one day of a game show, Osgood Winner increased his original $5,993.00 by 70%. On the next day, he was unlucky and lost 70% of his total amount (the original amount plus 70% winnings). What percent of his original amount did Osgood have left? Give the answer to the nearest whole number percent.
Extension Problem 17
Suppose T stands for the total amount a customer pays for a purchase, including sales tax. Suppose i stands for the sales tax rate. For example, if the sales tax is 5%, then i = 0.05. Using T and i, write an expression to show the sales tax.