Discount

Hi Mr. Richards here let's take a look today at a new concept of discount our objective today is to solve problems involving discount so let's look at what discount or markdown no discounter markdown is the amount by which the regular price for an item is reduced the sale price is the regular price: minus the discount we look at our first example a shirt is regularly priced for 42 doubt it is on sale for 15 percent off the regular price what is the sale price up the shirt well there are two methods we can use to stop one method is to subtract that discount from the regular price: the other method it to subtract the percent I love the discount from 100 percent then to multiply so if we start with method one subtracting the discount from the regular price: we can once again use are percent equation which is heart equals percent times our whole well our part here we don't know that's our discount so that's going to be d now are percent here is 15 percent but remember we have to move the decimal place over twice to the left to get this into a test small 0.1 5 so are percent is 0 point one 5 times our whole which is 40 to now point 15 times 42 is six point three-year six dollars and thirty cents so that is going to be our discount now if we take are forty two dollars and subtract the six dollars and thirty cents you end up with 0 there 7 bring a decimal point down borrow thirty-five dollars and 70 cents so that is your final answer are discounted amount was six dollars and thirty cents subtract that from the regular price: a forty two dollars and you get thirty-five dollars and seventy cents now what if we look at a different method but one that also similar now this involves subtracting the percentage the disc up 15 percent from 100 percent so if we take our 100 percent minus are fifteen percent we get the by percent north at eighty-five percent represents once we multiply that by our 42 eighty-five percent %uh 42 is our sale price: so once again we could use our part because percent times whole our part this time Walcott *** since that's going to be the sale price directly that's going to equal eighty-five percent but remember as a Tassimo it to move the decimal place packed Weiss point 8 5 support in the point 85 man times the whole which is 42 and when you multiply 28-5 times 42 you get 35 point 70 or once again thirty-five dollars and 70 cents so if you're looking for that discounted a mile you can use method 1: and then subtract but method to may be easier if you just looking for the sale price the choice is yours as we move on to our slightly more complex problem we need to find the sale price with tax we have a couple steps here but a CD that has a regular price: a fifteen dollars and fifty cents on sale at a 25 percent discount what is the sale price with the six and a half for 6.5 percent tax there are three steps here step 1: find the amount of the discount in step 2 will subtract the discount from the regular price: and lastly the percent of tax will be applied after the discount is taken so let's find the amount of discount using our percent equation where part equals percent times the whole our part is going to be our discussion about d 4 percent here make sure we pick the discounted percent which is the 25 percent we need to get our 25 percent into a decibel forms which is going to be zero-point 25 so are percent to zero point 25 times our whole which is fifteen dollars and fifty-cent when you multiply these two together you get D equals to re point heat 7 5 know I know we typically don't write money past the pennies point but let's keep that until the end of our problem now we want to subtract the discount from the regular price: so our regular price: was fifteen dollars and fifty cents and I'm gonna need an extra 0 minus the three point 8 7 5 and go ahead and subtracting gonna take a little bit a borrowing 10 -5 is 59 -7 is to more borrowing 14 -86 for minus-3 is one and one mine is there was one so now we have you lovin point 6 to by and again try not to round until the end alright try not to round until the end now we need to apply the percent of tax in step 3 so our tax is 6.5 percent which as a decimal move the decimal Pike Place over twice is going to be point 0 6 5 now we are looking for 6.5 percent I love the 11.62 5 all we need to do now is take our point 0 65 and multiply it by that 11 points 6 to 5 to get an answer out .7 5 fact so our tax is seventy five and a half cents add your 11 point 6 to 5 to the point 7 5 5 and you end up with can 8 13 to and one for final answer twelve dollars an 38 cents now in our next example we gonna find the original price if you know the discount in the sale price cell is read example 3 a sale for sale on home known on sale but maybe cell phone is on sale for 30 percent of if sale prices children five dollars and fifty cents what is the original price well like to use are percent equation our part is going to equal are percent times our whole now if it's on sale for 30 percent of that means the sale price is 100% minus 30 which is seventy percent I love the original price again the logic there its on sale for 30 percent meaning fact that sale price seventy percent of what the original price was so are two hundred five dollars in fifty cents that being the sale prices actually the heart in this question that's the smaller park here and our percent needs to be the point 7 0 since seventy percent as a decimal his point 70 and we can multiply that buyer hole which is well here it's p because that's going to be my original price now to solve this equation divide by point 70 on both sides any result is 200 93 point 57 1 and it keeps going now if you need to round here and around the ears penny the ones not going to round the seven up so this is simply 200 ninety three dollars and fifty 7 sent yes we go on our last example we need to compare in order to find a better price now closer Austin track folks are having sales a closer aus a pair sneakers is on sale for 50 percent off the regular price of fifty dollars at tracklist the same brand of speakers is discovered by 30 percent off the regular price of forty which store has the better sell price and explain well let's start by finding what it cost close are us well we're looking now for fifty percent I love fifty dollars well thats point 50 times fifty which is 20 by dollars with wrapped clips let's use that method to you if it's discounted by 30 percent that means I can take 100 -30 to get seventy percent which is point 70 is if I find seventy percent I love forty dollars by taking point 70 times forty I will get that sale price the said it just the discounted taking point seven sir times 40 is going to be 20 eat dollars so I compare which is the better sale price well clothes R Us wins sense twenty-five dollars is less than 28 hours and that's it