Question 1140468



from what i can see, the regular price can be anything, based on the information you provided.


let r = the regular price.
let s = the sale price
let m = the markup price.
let c = the cost price.


you state:


The store operates on a markup of 30% of the sale price and advertises that all items are sold at a discount of 20% of the regular price.


this makes:


m = 1.3 * s
s = .8 * r


this makes m = 1.3 * .8 * r = 1.04 * r


if we try to solve for r, we get r = m / 1.04


since m = 1.3 * s, then r = 1.3 * s / 1.04


since s = .8 * r, then r = 1.3 * .8 * r / 1.04


that becomes r = 1.04 * r / 1.04.


that becomes r = r.


that's an identity, which means that r can be anything.


i then decided to assume some values for r to see if it's true that r could be anything.


i first chose r = 5000.


assuming r = 5000, then s = .8 * r = .8 * 5000 =  4000


assuming m = 1.3 * s, then m = 1.3 * 4000 = 5200


assuming m = 1.04 * r, then m = 1.04 * 5000 = 5200


i then chose r = 1600.


assuming r = 1600, then s = .8 * 1600 = 1280


assuming m = 1.3 * s, then m = 1.3 * 1280 = 1664


assuming m = 1.04 * r, then m = 1.04 * 1600 = 1664


the actual cost of the tent doesn't even figure in this problem, since there's nothing that relates the regular price to the cost.


based on the information provided, i would have to say that the regular price could be anything, and the requirements of the problem would still be satisfied.