Math

posted by .

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 -

    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 -

    Oh thanks!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math..percents

    Craig wants to buy some software for his computer. The company that makes the software sells it to a software distributor for $30. The distributor adds 15% to the price and then sells it to the store. The store adds 25% on top of the …
  2. Calculus--Almost figured out

    Sports store is having a closing down sale, all stock has to be sold. each day an article remains unsold, the price is discounted by 4% of the previous days price. This discounting continues until the article is sold. The table shows …
  3. 7th grade math Ms. Sue last two questions thanks

    15. In Store A, a book that regularly sells for $24.99 is on sale at 15% off. In Store B, the same book regularly sells for $27.99 and is on sale at 25% off. Which store sells the book for the lower sale price?
  4. Math (Percentage)

    The price of a hat is reduced by a% from its regular price, and then is raised by a% from the reduced price. If the resulting price is an 81% discount from the regular price, what is a?
  5. Math (Percentage)

    The price of a hat is reduced by a% from its regular price, and then is raised by a% from the reduced price. If the resulting price is an 81% discount from the regular price, what is a?
  6. Business math

    A store had 896 swimsuits that were marked to sell at $46.99. Each suit was marked down $15.90. Find the reduced price using the formula M = S – N, where M is the markdown, S is the original selling price, and N is the reduced price.
  7. statistics

    At the start of December 2001, the retail price of a 25kg bag of cornmeal was $10 in Zambia, while by the end of the month, the price had fallen to $6. The result was that one retailer reported an increase in sales from 3 bags/day …
  8. Math (quadratic function)

    A fuel station sell, aproximately, 2140 liters of gasoline, per day, in which each liters costs 1,75 dollars. The owner observed that, reducing the price of the liter, occurs an increase in the volume of fuel sold, in the proportion …
  9. Math

    On September 1, a dress was priced at $90. On October 1, the price was reduced by 20%. On November 1, the price was further reduced by 25% of the October 1 price and marked FINAL. What percent of the original price was the FINAL price?
  10. math

    A merchant marks a certain lamp up 30% above cost.then he gives a customer a 15% discount.if the final selling price of the lamp was $99,what was the approximate cost price?

More Similar Questions