Posted by **Michelle** on Tuesday, July 5, 2011 at 6:19pm.

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 -
**MathMate**, Wednesday, July 6, 2011 at 8:53am
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

## Answer this Question

## Related Questions

- maths - 1.a cloth merchant on selling 27 metres of cloth obtains a profit equal ...
- MATH - Dawn Lingua bought three yards of cloth to make some curtains. The cloth ...
- math - Dawn Lingua bought three yards of cloth to make some curtains. The cloth ...
- math - Alice Correa bought three yards of cloth to make a dress. The cloth was ...
- Consumer Math - 1. Dawn Lingua bought three yards of cloth to make some ...
- Math to Mrs.Sue - 18. Dawn Lingua bought three yards of cloth to make some ...
- math - A retailer wants to sell an item that costs $18 at a list price that will...
- Math - The Soft Step Floor Company purchases carpeting for $5.12 per sq. yard ...
- Physics - Ignorant of the local custom of offerings strangers outrageous prices ...
- Bus. Math - The Soft Step Floor Co. Purchases carpeting for $5.12 per square ...