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Mathematics 17 Online
OpenStudy (d9414):

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.

OpenStudy (mathmale):

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.

OpenStudy (d9414):

@mathmale what would be the discount of the tv?

OpenStudy (mathmale):

I'd be glad to discuss this with you, but want to see some of your own work first.

OpenStudy (d9414):

Okay, no problem. i'm trying it out now:

OpenStudy (d9414):

@mathmale

OpenStudy (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.

OpenStudy (d9414):

Yes I copied and pasted on here

OpenStudy (d9414):

@mathmale it says the price of the tv is the orginial price + the 135% mark up?

OpenStudy (d9414):

A. ​0.6885% B. ​0.1985% C. ​19.85% D. ​68.85% - here are the options

OpenStudy (mathmale):

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.

OpenStudy (mathmale):

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?

OpenStudy (mathmale):

Hint: it is NOT 2.35x times 0.40. Why?

OpenStudy (d9414):

2.35x-0.4

OpenStudy (mathmale):

Can't mix terms that have x in them with terms that do not have x in them.

OpenStudy (mathmale):

When you take a percentage of some amount, you MULTIPLY, not subtract.

OpenStudy (mathmale):

"Discount" is the amount taken off a price. "Discount" does not represent the new selling price.

OpenStudy (d9414):

so it's 0.94?

OpenStudy (d9414):

@mathmale

OpenStudy (mathmale):

Please, show the work you did to come to that conclusion.

OpenStudy (d9414):

2.35 * 0.40

OpenStudy (d9414):

I"m confused because at first you said don't multiply

OpenStudy (d9414):

and then you said multiple to find the answer

OpenStudy (mathmale):

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?"

OpenStudy (mathmale):

What does "discount" mean? Does "discount" mean the same thing as "discounted price?"

OpenStudy (d9414):

@mathmale I"m sorry, I'm really trying to understand this but I don't.

OpenStudy (d9414):

i thought when you discount something you subtract it.

OpenStudy (mathmale):

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).

OpenStudy (mathmale):

percentage discount is not the same as "dollar amount of the discount."

OpenStudy (d9414):

okay and I got 1.41x

OpenStudy (d9414):

@mathmale

OpenStudy (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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