A store's selling price for a TV includes a 135% mark up over what the store paid for the TV. The store decides to discount their selling price by 40%. You have a coupon for 15% off the discount price. Find the percentage change in the store's cost for the TV.
First, find the discount and the discounted price of the TV, reflecting that 40% discount. One you have a result for that, find the discount and the new discounted price after using the coupon for that 15% discount. Show your work, please.
@mathmale what would be the discount of the tv?
I'd be glad to discuss this with you, but want to see some of your own work first.
Okay, no problem. i'm trying it out now:
@mathmale
Odd question. The store's cost does not change. Are you 100% sure you have copied this problem down correctly? The store buys the TV for a certain price which does not change.
Yes I copied and pasted on here
@mathmale it says the price of the tv is the orginial price + the 135% mark up?
A. 0.6885% B. 0.1985% C. 19.85% D. 68.85% - here are the options
If that's the problem: let the original COST (not price) be x. Then the selling price set by the store is that x, plus 135% of x, or (1.00+1.35)x, or 2.35x. but you still don't have enuf info to figure out the cost to the store of the TV.
Let's see: Let the store's cost (not selling price) be x. The initial selling price is 2.35x, as discussed above. The store decides to discount this selling price by 40%. What would the new price be?
Hint: it is NOT 2.35x times 0.40. Why?
2.35x-0.4
Can't mix terms that have x in them with terms that do not have x in them.
When you take a percentage of some amount, you MULTIPLY, not subtract.
"Discount" is the amount taken off a price. "Discount" does not represent the new selling price.
so it's 0.94?
@mathmale
Please, show the work you did to come to that conclusion.
2.35 * 0.40
I"m confused because at first you said don't multiply
and then you said multiple to find the answer
Again: The initial selling price is 2.35x. The store discounts this by 40%. Figure out the new selling price. I told you this 10 minutes ago: "Hint: it is NOT 2.35x times 0.40. Why?"
What does "discount" mean? Does "discount" mean the same thing as "discounted price?"
@mathmale I"m sorry, I'm really trying to understand this but I don't.
i thought when you discount something you subtract it.
Yes, you calculate the discount FIRST and then you subtract that amount of $ from the price. A more efficient way to do this is to MULTIPLY the original selling price by (1-discount fraction). Thus, Multiply 2.35x by (1.00-0.40).
percentage discount is not the same as "dollar amount of the discount."
okay and I got 1.41x
@mathmale
I also got 1.41x. Now, there's yet another discount, this time 15%. Multiply 1.41x by (1.00-0.15).
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