How to calculate discounts
how do you calculate discounts when you go into a store a lot of times you'll see signs offering various discounts on items and these are all the percentages you might see when you walk into a store and discounts are a percent of questions so it involves multiplying now let's look at this example so an $80 code you want is 20% off how much will it cost well there's a couple of different ways we can do this when you have 20% off that means you're saving 20% you don't have to pay 20% of the cost of the item but you do have to pay 80% of the total cost and we can solve these questions in either one or two step let's take this $80 code example the two-step method would be to find 20% of 80 and you convert 20 percent into a decimal so you would be saving 16 dollars you then take the original cost you subtract 16 you'd pay 64 dollars for the coat so that's the two step method finding the amount of the discount and then subtracting the discount the one step method since you're saving 20% you're paying eighty percent of the price of the full price so we could just take the original price times 80 percent and get the same answer it really doesn't matter you can do it and one or two steps so why don't we practice this let's say that there's an item for $60 and there's a 10% discount I'm actually going to do the two-step first so you're saving 10% of the $60 all means multiply we're going to convert the percent to a decimal which is point one or point 10 times 60 and when you do that you get 6 so we're saving six dollars so that's step one now step two is to take the original price which is $60 minus the $6 you're saving so it'd be $54 would be the final cost of that item if you wanted to do it in one step if you're saving 10% that means you have to pay 90% of the full price you're paying 90% of the $60 aughh means multiply I'm going to convert 90 percent into a decimal I'm going to multiply that time $60 and we end up with 54 you'd pay $54 so either way you're going to get the same answer you can do it in one or two steps let's do a few more okay we have a $32 garment and it's 20% off I'm actually going to do this in two steps so you're getting 20% of the price off you don't have to pay 20% of 32 so I'm going to convert this to a decimal and multiply it times 32 this is step one so that would be six point four that means you're saving six dollars and 40 cents so the original cost of the item was $32 minus the six dollars and 40 cents that you're saving so your final cost of that item after the discount would be twenty-five dollars and sixty cents okay let's try another one so you're buying this swimsuit for one hundred and ten dollars but it's 40% off this week so step one we're going to find out what's the discount so you do not have to pay 40 percent of that price forty percent of the 110 you're not paying so all this multiply and convert that to a decimal and when you multiply 0.4 times 110 you end up with 440 you are saving $44 so that's our discount so we take the original price 110 minus $44 the final cost of that swimsuit after a 40% discount would be $66 now this one we have a t-shirt here for $14 and it's on sale for 5% off I'll be careful on this one you're saving 5% of the 14 so of is multiplied don't put point 5 that would be a 50% savings 5% is 0.05 times 14 so you are saving when you multiply those two you're saving 70 cents so the original cost of the item was $14 minus the discount of 70 cents you would pay 1334 that t-shirt after the discount we're going to do one more example most sometimes you'll get a double discount on an item so in this example I wanted to buy a guitar the guitar was $300 but was on sale for 30% off if you pay in cash you get an extra 10% off now what a lot of kids want to do is they want to add these two together and say that you get 40% off but it doesn't work like that when you have a double discount first thing we do is we work with this original discount so the guitar is $300 but you don't have to pay you you don't have to pay 30% of that price you're getting 30% of the $300 off so of is multiply going to convert that to a decimal and when you multiply you will end up with this that means you are saving $90 so that's actually a multi-step question so if I take the original price 300 and I subtract the dis count of $90 the guitar would pay would cost two hundred and ten dollars however if I pay in cash I'll get an extra 10% off so I'll get an extra 10% of I'll get 10% of that price off an additional discount so obvious multiply and that would mean I would get an additional $21 off so if we take that discounted price and I subtract the additional $21 I get off for paying cash that means the final cost of that guitar after the two discounts would be a hundred and eighty nine dollars so that's how you can calculate discounts you can do it in either one or in two steps