Math

posted by .

A merchant buys cloth at $1.60 per yard. At what price per yard should he list the cloth so that he may sell it at a discount of 20% from the list price and still make a profit of 20% of the SALE PRICE?

  • Math -

    If she makes 20% off the sale price, then 80% of the sale price is his cost.
    So first find the sale price, s:
    80% : $1.60
    100% : s

    Use cross multiplication to solve for s:
    s=100*$1.60/80=$2.00

    Since the sale price was after 20% discount, so again it is 80% of the list price. To calculate the list price L, we use proportions and cross multiplications:
    80% : $2.00
    100 : L
    L=$2.00*100/80=$2.50

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. college alg

    A particular style of shoes costs the dealer $97 per pair. At what price should the dealer mark them so he can sell them at a 10% discount off the selling price and still make a 30%profit?
  2. math

    Alice Correa bought three yards of cloth to make a dress. The cloth was on sale for $1.93 per yard. How much did Alice pay for the cloth if the sales tax was 5 percent?
  3. math

    Dawn Lingua bought three yards of cloth to make some curtains. The cloth was on sale for $2.25 per yard. How much did Dawn pay for the cloth if the sales tax was 5%?
  4. maths

    1.a cloth merchant on selling 27 metres of cloth obtains a profit equal to the selling price of 9 metres of the same cloth . find the profit percent. 2. by selling cloth at rupees 9 per metre a shopkeeper loses 10% . at what rate should …
  5. MATH

    Dawn Lingua bought three yards of cloth to make some curtains. The cloth was on sale for $2.25 per yard. How much did Dawn pay for the cloth if the sales tax was 5%
  6. Consumer Math

    1. Dawn Lingua bought three yards of cloth to make some curtains. The cloth was on sale for $2.25 per yard. How much did Dawn pay for the cloth if the sales tax was 5%?
  7. Math to Mrs.Sue

    18.   Dawn Lingua bought three yards of cloth to make some curtains. The cloth was on sale for $2.25 per yard. How much did Dawn pay for the cloth if the sales tax was 5%?
  8. math

    Dawn Lingua bought three yards of cloth to make some curtains. The cloth was on sale for $2.25 per yard. How much did Dawn pay for the cloth if the sales tax was 5%?
  9. algebra

    A particular style of sunglasses costs the retailer $80 per pair. At what price should the retailer mark them so he can sell them at a 20% discount off the selling price and still make 30% profit on his cost?
  10. math

    Alice Correa bought three yards of cloth to make a dress. The cloth was on sale for $1.93 per yard. How much did Alice pay for the cloth if the sales tax was 5 percent?

More Similar Questions