SOLUTION: Jake will earn $2400 if he sells his vintage watch set at a discount of 5% off the usual price. If he sells the watch set at a discount of 25% off the usual price, he will also los

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: Jake will earn $2400 if he sells his vintage watch set at a discount of 5% off the usual price. If he sells the watch set at a discount of 25% off the usual price, he will also los      Log On


   



Question 1179486: Jake will earn $2400 if he sells his vintage watch set at a discount of 5% off the usual price. If he sells the watch set at a discount of 25% off the usual price, he will also lose $900. What is the cost price of the vintage watch set?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Selling at a 5% discount means selling at 95% of the usual price; selling at a 25% discount means selling at 75% of the usual price. The difference in his earnings between selling at those two prices is $3300.

.95x-.75x=3300
.2x=3300
x=16500

The usual price is $16,500.

His cost price is $2400 less than what he sells it for if he sells at a 5% discount from the usual price:

.95%2816500%29-2400=15675-2400=13275

or it is $900 more than what he sells it for if he sells it at a 25% discount from the usual price:

.75%2816500%29%2B900=12375%2B900=13275

ANSWER: His cost price was $13,275