Respuesta :
A.) What percent of the purchase is the selling price?
Given:
Original/Purchased Price = $50
Selling Price = $90
To be able to determine the percentage of the selling price to the purchased price, we generate this formula,
[tex]\text{ Percentage =}\frac{S\text{elling Price}}{Purchased\text{ Price}}\text{ x 100}[/tex]We get,
[tex]\text{ Percetage = }\frac{\text{ \$90}}{\text{ \$50}}\text{ x 100 = 1.8 x 100 = 180 \%}[/tex]Therefore, She sells the coats for 180% of the original price. She increases the sale price by 80%.
B.) How many jackets must the owner buy for the total jacket sales to at least $250?
Given:
Original/Purchased Price = $35
Target Sale = $250 Dollar
Rate of price increase = 180%
To be able to determine how many jackets the owner must sell to earn at least $250, we generate this formula,
[tex]\text{ No. of Jacket to Sell = }\frac{Target\text{ Sale}}{(Ori\text{ginal Price)(Percentage of Increase/100)}}[/tex]Let's substitute the values of the given to the formula to be able to determine the No. of Jackets the seller must at least sell.
[tex]\text{ No. of Jacket to Sell = }\frac{\text{ \$250}}{(\text{\$35)(180\%/100)}}\text{ = }\frac{\text{ \$250}}{\text{ (\$35)(1.80)}}[/tex][tex]\text{ = }\frac{\text{ \$250}}{\text{ \$63}}=\text{ 3.96 }\cong4[/tex]Therefore, the seller must buy at least 4 jackets to have total sales of at least $250.
