Posted by **Joe** on Wednesday, February 10, 2010 at 4:39pm.

For 5 consecutive days, the price of a lamp in jill's store is reduced by 10% from the previous day's price. At the end of the fifth day, by what percetage will the price of the lamp have been reduced from its initial price?

I'm not sure where to begin since I don't know what the original price of the lamp was. Can you please get me started?

- Math -
**Reiny**, Wednesday, February 10, 2010 at 5:20pm
let the original price be $x

after the first discount of 10%, the cost is (.9)x

after the second discount , the cost is (.9)(.9)x = (.9)^2x

after the third discount, the cost is (.9)^3x

.

.

after the 4th discount the cost is (.9)^5x

so percentage of final price to original price is

(.9)^5x/x = .9^5 = .5905 = appr. 59%

so it was reduced by 41%

- Math -
**Joe**, Wednesday, February 10, 2010 at 5:23pm
Oh thanks!

## Answer this Question

## Related Questions

- Calculus--Almost figured out - Sports store is having a closing down sale, all ...
- math..percents - Craig wants to buy some software for his computer. The company ...
- 7th grade math Ms. Sue last two questions thanks - 15. In Store A, a book that ...
- Business math - A store had 896 swimsuits that were marked to sell at $46.99. ...
- statistics - At the start of December 2001, the retail price of a 25kg bag of ...
- Math (Percentage) - The price of a hat is reduced by a% from its regular price, ...
- Math (Percentage) - The price of a hat is reduced by a% from its regular price, ...
- Math - On September 1, a dress was priced at $90. On October 1, the price was ...
- Math (quadratic function) - A fuel station sell, aproximately, 2140 liters of ...
- Math - The price of a stock decreased $2 per day for four consecutive days. What...

More Related Questions