A student buys a pair of jean trousers at a 19% discount on the advertised price.if she wants to make a mark-up 20% after allowing a discount of 10%,by what percent should her marked price be greater than the original advertised price?
if the original cost is c, and her selling price is p, then
.90p = .81c * 1.20
p = 1.08c
or, 8% more than the original price
bakwas
To find out by what percent the marked price should be greater than the original advertised price, we can follow these steps:
Step 1: Calculate the discounted price of the jeans trousers.
To find the discounted price, we need to subtract 19% of the advertised price from the advertised price.
Discounted price = Advertised price - (19% * Advertised price)
Step 2: Calculate the price after applying the second discount.
After the student decides to give an additional discount of 10%, we need to subtract 10% of the discounted price from the discounted price.
First, we need to calculate the discounted price:
Price after first discount = Discounted price - (10% * Discounted price)
Step 3: Calculate the marked price.
To determine the marked price, we need to add a 20% markup to the price after the second discount.
Marked price = Price after first discount + (20% * Price after first discount)
Step 4: Calculate the percentage increase from the advertised price to the marked price.
To calculate the percentage increase, we divide the difference between the marked price and the advertised price by the advertised price, and then multiply by 100.
Percentage increase = ((Marked price - Advertised price) / Advertised price) * 100
By following these steps, you can find the percentage by which the marked price should be greater than the original advertised price.