An upscale clothing boutique charges $196 for a brand name pair of jeans, which is 40% more than the amount it costs the store to buy one pair of these jeans. As a benefit of working there, employees can purchase the pair of jeans at 30% off the store's cost. How much (in $) would it cost for an employee to purchase a pair of jeans?

Question

anonymous · Answer

First you would find the true value of the jeans.

$$Price(P) = True Price(T) + (0.40*T)$$
$$P = T + (0.40*T)$$
Using that formula:

P = 196
T = x

196 = x + (0.40*x)
196 = x + 0.4x
196 = 1.4x
140 = x

So the store buys the jeans for $140

Since employees get 30% off the store's cost. The formula to find this would be as follows:

$$Discount Price(D) = True PriceT - (0.30*T)$$
$$D = T - (0.30*T)$$
Using this new formula:

D = x
T = 140

x = 140 - (0.30*140)
x = 140 - 42
x = 98

So employees pay $98 dollars for the jeans.