Problem of the Week 17

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.