GCSE Maths - Reverse Percentages - Calculating The Cost Before The Discount #96

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Cognito

Cognito

Күн бұрын

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@Cognitoedu
@Cognitoedu 3 жыл бұрын
If you’d like to practise the material covered in this video, check out our platform at www.cognitoedu.org - it's totally free, and has been built to make learning and revision as easy as possible. The main features are: - Lessons organised by topic, only the lessons relevant to your specific exam board and tier are shown. - Automatic progress tracking. Progress bars tell you what you’re doing well at, and what you need to spend some time on. - Practise quizzes so you can test your knowledge. You can quiz yourself on any combination of topics you like. - A huge number of fully-hinted questions that take you step-by-step through some of the trickiest calculations & concepts. - A comprehensive bank of past exam papers, organised both by year, and also by topic. Amadeus & Tom
@kabirsohail2839
@kabirsohail2839 2 жыл бұрын
No comment?Lemme add one :D
@muhxmmxd223s
@muhxmmxd223s Жыл бұрын
only one comment, lemme add one :)
@flamejay7933
@flamejay7933 Жыл бұрын
Only two comments. Lemme add one :}
@onlyskincaree
@onlyskincaree Жыл бұрын
Only 3 comments, let me add one :)
@noel7777noel
@noel7777noel Жыл бұрын
Other tricks of math backward. Math backwards also is 125% of 16 is 20. But 80% of 20 is 16. Another trick of math backward is divide labor hours by inflation to adjust for inflation. I mean. Math done forward can be done backward. Say you wanted to know how much inflation would happen if the auto workers wanted a 25% raise. Say they had a 5% raise while automobiles have gone up 30%. 0/4 = passive income investors + 8/4 = active income workers = 2 = 8/8 = total GDP The active income fraction equals two. these two mean they have to work twice as longer at work to make up the investors not working. This is represented by the zero. 8/8 represents a whole pie. And 8/4 represents the workers' slice of the pie. And 0/4 represents the passive income investors' slice of the pie. Well, first, let's look at at 5% raises that caused 5%inflation backward. Let's apply the 5% raise. 4 × 1.05 = 4.2. 0/4 = passive income investors + 8.2/4.2 = workers = 1.95 = 8.2/8.2 = total GDP Notice tge GDP went up with inflation. 8.2 / 8 = 1.025. 2.5% inflation happened. As you can see, the workers' hours went up to 8.2 from 8. This doesn't mean the workers have to work more hours at work. This is adjusted for inflation. So now the workers only have to work 1.95 times as many hours at work, down from 2. Now, let's add the 25% economic iniquity. The automobiles have gotten 25% more expensive. 4.2 × 80% = 3.36 Notice I did the 125% backwards and applied 80%. 0/4.84. Passive income investors + 8.2/3.36. Workers = 2.44 = 8.2/8.2 Notice that the workers now have to work 2.44 times as many hours at work. From 1.95 1.95×125%= 2.44 Now the workers want a raise of 25% because automobiles have gotten 25% more expensive. So, let's find out how much inflation happens. Any guesses? The workers raise of 25% 3.36 × 1.25 = 4.2 0/4.84. The investors + 9.04/4.2. The workers = 2.15 = 9.04/9.04 So 9.04 divided by 8.2 equals 1.10. So. This 25% raise only caused 10% inflation. But the workers didn't go back to only working times 2 as many hours at work. Hold on now. Peter was after 44% rsise to go back to normal. 3.36 × 144% = 4.8384 0/4.84. Passive income + 9.67/4.83. The workers = 2 = 9.67/9.67 GDP That's better. The workers' slice of the pie is back to 2. And 9.67/8 is 20% inflation. And for extra credit. How did I come up with the 44% raise to know the fraction would equal 2.
@noahatcha2616
@noahatcha2616 3 жыл бұрын
Wow, this channel has grown since, the beginning of 2020, I remember when it was 20k subs, well done, hard work always pays off. :)
@doubleb947
@doubleb947 3 жыл бұрын
Same here, this channel gonna fly off the charts by the end of 2023
@MrMa5t3r
@MrMa5t3r 2 жыл бұрын
@@doubleb947 well they haven't posted in 1 month so sad
@IshowhatricksTMX
@IshowhatricksTMX Жыл бұрын
THEYvHAVENT posted in ( MONTHS
@XxH1s3n08
@XxH1s3n08 Жыл бұрын
@@doubleb947 Its the end of 2023, i would say this channel has flown off the charts
@doubleb947
@doubleb947 Жыл бұрын
@@XxH1s3n08 we've come a long way huh, xd glad to be in this journey
@sallyread5437
@sallyread5437 Жыл бұрын
I’m helping my daughter with her gcse (she isn’t at school in England but has to do it for an upcoming move). I’ve never been able to do maths and my daughter hates it. But we LOVE this channel. It’s the only one makes any sense. Brilliant ❤
@pwarrow8858
@pwarrow8858 2 жыл бұрын
The fact that you explain why each step is the way it is and how it relates to the funtion and not just show me how to solve it, is exactly what I needed. Thank you so much for this you are a life saver.
@LapissHamster
@LapissHamster Жыл бұрын
IKR -A fellow potato
@rawsushi5302
@rawsushi5302 Жыл бұрын
he does tho
@studyskillz6404
@studyskillz6404 3 жыл бұрын
Thank you Cognito for keeping students going through this tough time! Much love :)
@jacobbillups4715
@jacobbillups4715 2 жыл бұрын
PSA for anyone who conceptualizes these problems from a different angle here is a different way to get the same answers (of course the way in the vid is completely valid this is just an alternative). If you think of the percentages as pure decimals you can often cut a few steps. For example the first problem where the house is increased by 15% to £207,000. Your target is the original 100%. So you can do it in one step by taking £207,000/1.15=£180,000. Same method for example 2: 20% sale with new price at £72.00 (100% OG price the target again). So this time you’d take £72/0.80=£90.00. Only one that is a tad counterintuitive is the one where you are given the % and the change in price but neither original nor new total. In that case you take that price change (delta) and divide it by the % given in decimal form (sounds complex but really easy in practice). So for the example problem 5% increase=£42.50. Take £42.50/0.05=£850. Then finally since 850 is the OG price you’d add that £42.50 on top for the £892.50 new price. Lastly to drive the point home let’s say that problem was the same but it was a decrease/discount instead. Everything would be the same save the last step where you’d subtract the 42.5 from 850 in the end. Side note with any problem like this it’s easy to accidentally flip things around so a good practice is to mentally check yourself as you go by asking if the number you just got makes sense. Like if you multiply the first problem by 1.15 instead of dividing it. You end up with a number higher than the 207k you started with (which makes no sense lol). I doubt anyone will have read all that but if by some miracle you did and it helped lmk lol 😊
@Nehselo
@Nehselo 11 ай бұрын
thankyou you explained it very well
@ZainaDalal-tv3xk
@ZainaDalal-tv3xk 5 ай бұрын
This was exactly what I was looking for, Ty ❤
@Ivy-xd4hd
@Ivy-xd4hd Жыл бұрын
i have a math exam in a week and i’m panicking. it’s safe to say that you just saved my life and sanity, thanks!
@readerofmanga
@readerofmanga 3 жыл бұрын
The first time I came across this, I managed to learn it quickly and got it right away. Realistically, I will have to revise more on this one.
@Right_Sune
@Right_Sune 6 ай бұрын
👌
@missesnoku3220
@missesnoku3220 5 ай бұрын
there’s a much easier way!!! Just divide the number (207,000) by how much the percent changed as a decimal (1.15) !! pleaseee this way is so much easier especially in calculator exams.
@missesnoku3220
@missesnoku3220 5 ай бұрын
try it in a calculator! it does work! it still equals 180,000 , your welcome!
@ItzM3LTED
@ItzM3LTED 5 ай бұрын
Ty❤
@AzeezOng
@AzeezOng 5 ай бұрын
Ur mad start miss
@missesnoku3220
@missesnoku3220 4 ай бұрын
@@ItzM3LTEDofc!!
@missesnoku3220
@missesnoku3220 4 ай бұрын
@@AzeezOng aw tyy!!
@ukrainianbloke9676
@ukrainianbloke9676 2 жыл бұрын
Thank you, iv used google to help me understand this, but being dyslexic, reading big blocky paragraphs is a distracting task. These videos are great, there colour coded well and simply presented. Thanks.
@Cognitoedu
@Cognitoedu 2 жыл бұрын
Great to hear you found it easy to watch and digest! 😊
@MazzBagel
@MazzBagel Жыл бұрын
Thank you so much for making these types of videos. TRUST ME it has helped me SO much in my exams. Your channel is the only channel i go to for revision. THANK YOU!
@vihaan3887
@vihaan3887 2 жыл бұрын
will be giving my gcse in 2023 love this such a simple but effective method of explaining happy that i have found you
@mohamadzorba763
@mohamadzorba763 2 жыл бұрын
For bro fr❤❤❤
@amsbreezy
@amsbreezy 14 күн бұрын
what did u get
@ITSMRMINE
@ITSMRMINE Жыл бұрын
This is wayy better than those big ass formulas
@mariasheikh70
@mariasheikh70 Жыл бұрын
IM IN YEAR 7 AND THANKS TO YOUR VIDEOS I AM NOW SO SMART AND I GOT A REWARD APPRECIATION TO YOU (TYSM) !
@qanatalae
@qanatalae 5 ай бұрын
THIS CHANNEL WAS LIFE SAVING! I HAD TO SHARE WITH FRIENDS 😭
@danieldavid3160
@danieldavid3160 2 жыл бұрын
Clearly and easily explained. Thank you, Sir!
@remember_the_name9252
@remember_the_name9252 2 жыл бұрын
i have a test tomorrow and this video really made it simple for me so lets just say it got me a few marks back
@haythmsaqr
@haythmsaqr 2 жыл бұрын
SAME!
@gloss1138
@gloss1138 3 жыл бұрын
hiii i love your videos, they're super helpful! but i was wondering if you could consider making videos on gcse additional maths/ calculus? it would be really really helpful for us :))
@mossgaming4247
@mossgaming4247 Ай бұрын
you're the reason why im not failing in math I just entered year 10 and the exams are now external so wish me luck
@ztrappedshop
@ztrappedshop Жыл бұрын
Thanks cuz I got paper 3 mocks tommorow morning at half 8 you prob just saved me a few marks g
@Kpomeyou
@Kpomeyou 4 күн бұрын
This help me so much tomorrow is my paper and i hope i will score 80 person.
@Krishna-pq7jd
@Krishna-pq7jd 2 ай бұрын
Really helpful channel for those studying gsce maths/ science.
@kaurypto9302
@kaurypto9302 2 жыл бұрын
Wow this has made so much sense, thank you. How would you work out a question when it asks you for example: " X buys a watch for £84 which includes a VAT rate of 20%"... How would I work out how much the watch costs without VAT. Sorry if its already been explained. I am studying for Functional Skills Level 2 and find your videos so helpful.
@chrismafico
@chrismafico 5 ай бұрын
On the first example: instead of doing 270,000 x 115 just to find one percent then having to do more to get the answer, you can just do 270,000 x 115% o your calculator and it will give the end answer for you (there's a % button if you press shift and then answer on your calculator)
@ezmonke5645
@ezmonke5645 2 жыл бұрын
thank this will help for my next maths test
@rook839
@rook839 2 ай бұрын
super informative and easy to understand. thank you
@moggie2135
@moggie2135 3 жыл бұрын
THANK YOU THIS HELPED SO MUCH
@DROIDFARM
@DROIDFARM 3 жыл бұрын
I learned well here! You are a good teacher! Liked and subscribed!
@Cognitoedu
@Cognitoedu 3 жыл бұрын
Thanks Benjamin, glad the video helped 👍
@lukemeehan8301
@lukemeehan8301 2 жыл бұрын
Thanks, needed a refresh.
@samueldesta3110
@samueldesta3110 8 ай бұрын
Thank you cognito finals are tomorrow but not worried anymore
@harryhamac
@harryhamac 2 жыл бұрын
not a student but I found this very helpful. Thankyou.
@LapissHamster
@LapissHamster Жыл бұрын
What the heck. It can't be made easier than this. Thank you! You're so pro!
@kingjarif6822
@kingjarif6822 3 жыл бұрын
I am proudly announcing that the 1st like of this vid is from me.
@deemedepic7721
@deemedepic7721 3 жыл бұрын
And the third by me
@ryze5436
@ryze5436 3 жыл бұрын
Yep 👍
@SenyorCaramelo
@SenyorCaramelo 3 жыл бұрын
@@deemedepic7721 uhh I was the third like…..
@deemedepic7721
@deemedepic7721 3 жыл бұрын
@@SenyorCaramelo That heart from Cognito probably belonged to you then, sorry!
@deemedepic7721
@deemedepic7721 3 жыл бұрын
I'm one of the 572 people who liked it so I guess that's good?
@mnu1401
@mnu1401 3 жыл бұрын
the method that i use is based on the car depreciating question n x 0.92 = 12,880 where n is the original value of the car n = 12,880/0.92 n= 14,000
@neetupavar1306
@neetupavar1306 Жыл бұрын
i have math exam tomorrow and you just saved me
@TheBerlyn186
@TheBerlyn186 Жыл бұрын
Hello hope all is well? First I want to thank you for giving free Online Education to the people and for making great content. My question is when you read the problems What questions Can one asked themselves to place the clues we have from the problem?
@ziahxxfn8871
@ziahxxfn8871 2 жыл бұрын
CONGRATULATION YOU JUST HIT 200 K SUBS OMG
@Cognitoedu
@Cognitoedu 2 жыл бұрын
🎉🎉🎉 thanks!
@BackgroundBrosRoblox
@BackgroundBrosRoblox 8 ай бұрын
I guess in Lockdown, this was a game changer! THanks Cognito I also got Cognito PRO WOO HOO
@bolcusorin
@bolcusorin 3 ай бұрын
It was really helpful. Thank you!
@luvjotbhachu
@luvjotbhachu 4 ай бұрын
the best guy for revsion
@Katherine1.1
@Katherine1.1 2 ай бұрын
THIS HELPED ME SO MUCH I JUST SUBSCRIBED❤
@WeeklyFacts-2002
@WeeklyFacts-2002 6 ай бұрын
THANK YOU SO MUCH!!! This is so helpful and it is laid out so clearly. LOVE IT! (btw, what font do you use?) 🤩
@theconquerer5235
@theconquerer5235 Жыл бұрын
So helpful for my maths test tmrw tysm
@lemondbaby
@lemondbaby 5 ай бұрын
For decrease OG = price divided by % = (n) (N) x 100 = answer 8.10£ x 18% = 0.45 0.45 x 100 = 45
@AhmadAsifArifeen
@AhmadAsifArifeen 3 ай бұрын
this is amazing now i learned finally the trick thanks a lot now I can teach better
@DanHaines-kw3bl
@DanHaines-kw3bl 3 жыл бұрын
another way of doing it is: 1.15x=207000 207000/1.15=x X=180000
@nouraalmansour7516
@nouraalmansour7516 2 жыл бұрын
Love your channel it has very effective explanations, obviously I understand more than school
@lemondbaby
@lemondbaby 5 ай бұрын
OG= % + 100 = (number) (Number) divided by price= I did this for the first one 15+100 = 1.15 1.15 divided by 207,000 = 180,000
@thatgirlkiwii
@thatgirlkiwii Жыл бұрын
Question: The price of a mobile phone increases by 15%. The price of the mobile phone after the increase is $391 What was the price of the mobile phone before the increase? The marking scheme says you only do 391÷1.15=340 They never divided by 100 so I am confused
@kelld1984
@kelld1984 2 жыл бұрын
This channel is one of the best .im so glad I came across this.its so helpful.many thanhsssss
@Cognitoedu
@Cognitoedu 2 жыл бұрын
Thanks Linda, glad to hear you like it 👍
@sigmaforce43
@sigmaforce43 2 ай бұрын
i think this guys is HIM... your probably in the book of himothy
@thidaayechan7653
@thidaayechan7653 Жыл бұрын
This is so helpful. I literally don't understand a thing my math teacher taught me.😭
@mahnooradnan8888
@mahnooradnan8888 3 жыл бұрын
can you please upload a video on sublimation (chemistry) ... i searched but i couldn't find one from ur channel the others were not very informative i guess can you please do it! i will be very thankfull
@charliechalk
@charliechalk 2 жыл бұрын
For the first question, you can do £207,000 / 1.15 to get £180,000.
@manihazeezee8274
@manihazeezee8274 3 жыл бұрын
Loved ittttt thanksssss♥️♥️♥️
@hype848
@hype848 11 ай бұрын
Excellent explanation 😁
@tenchip0771
@tenchip0771 3 жыл бұрын
Very noice vids better than my teacher
@nickguest9071
@nickguest9071 2 жыл бұрын
Thankyou, I've just started a new job and have had to dust off the back of my brain 😁
@businesscasestudy9899
@businesscasestudy9899 Жыл бұрын
, thank you so much wala God of math
@fatmaahmad9661
@fatmaahmad9661 Жыл бұрын
Thnk u it has really helped
@samuellacobbinah
@samuellacobbinah Жыл бұрын
5:59 It makes sense But I don't understand why the percentage change 5%= £42.65 Was divided by 5 to get 1% Why was that done ?
@thenader_jp
@thenader_jp Жыл бұрын
Thanks It Helped Me Alot❤
@flamejay7933
@flamejay7933 Жыл бұрын
Also helped me too. Amazing video.
@LB-id3qx
@LB-id3qx 2 жыл бұрын
Nice, I get it but will need to refresh tomorrow.
@patriciahope2
@patriciahope2 Жыл бұрын
Thank you!
@wingzzz_6783
@wingzzz_6783 2 жыл бұрын
thanks, i get it now finnally.
@no1r161
@no1r161 Жыл бұрын
amazing video!
@bestill6505
@bestill6505 2 жыл бұрын
Thanks for the video And the 300k ❤️🎉🎉🎉🎉🎉🎈🎉🎉🎈🎈🎈🎈🎉🎉🎉🎉🎈🎉🎈🎉
@ndimiratshonka7468
@ndimiratshonka7468 3 жыл бұрын
Please make video on probability
@Unique7_7
@Unique7_7 4 ай бұрын
Last math exam tomorrow 🎉🎉
@Cynthia-bp9fn
@Cynthia-bp9fn Жыл бұрын
Thank you sir
@piggy-music9679
@piggy-music9679 Жыл бұрын
Thank you so much
@aryankrishan
@aryankrishan 5 ай бұрын
thank you
@tuhinsrivastava5178
@tuhinsrivastava5178 3 жыл бұрын
why cant the last question be done like the first one?
@mrpearcemaths2140
@mrpearcemaths2140 3 жыл бұрын
I really love the art in your videos but it must take you ages to draw! From a subject point it might be worth covering questions where you need to change the units e.g. a 400ml and 1.2l bottle as often students will mindless use them as they are. The same in the cost as exam questions often use say one item at 95p and another at £1.20 to test consistent use of units. You also have questions that are difficult to solve by finding cost per £ etc but far easier to find a cost of an equivalent quantity. E.g. 4pints and 6 pints of milk might provide decimals when you divide but are probably fairly easy to compare if you just take 12 pints of each deal.
@Omar_Dibo
@Omar_Dibo 2 жыл бұрын
thanks so much, this helped a lot
@roblogin464
@roblogin464 Жыл бұрын
@Cognito can u upload a video on upper and lower bound
@manishramkumar8948
@manishramkumar8948 3 жыл бұрын
wowww, Very Very Nice. I understood the concept
@Cognitoedu
@Cognitoedu 3 жыл бұрын
Glad we could help Manish! 😊
@aaryanvipin2412
@aaryanvipin2412 3 жыл бұрын
THANKS A LOT!
@kostenko3215
@kostenko3215 2 жыл бұрын
Thanks bro ya saved meh
@Rizzkusama_
@Rizzkusama_ 3 жыл бұрын
Thany you man i subbed to u cuz now i can pass in my test
@Cognitoedu
@Cognitoedu 3 жыл бұрын
Thankyou!
@shubhammalviya6461
@shubhammalviya6461 5 ай бұрын
loved it
@jerryy538
@jerryy538 2 жыл бұрын
if it took 57 seconds to do something. now it takes 11 seconds to do that. to find the % of how much better it is. do i 57/11x100? =518% more efficient ? or is that wrong? sorry it's been a while since i did much math. appreciate any help.
@ryze5436
@ryze5436 3 жыл бұрын
Not one dislike Such good work well done 👍
@fatemaswidan8877
@fatemaswidan8877 Жыл бұрын
TYSM
@TheMrsGypsy
@TheMrsGypsy 2 жыл бұрын
Thank you so much! 💓 Question - is calculator allowed on these types of questions in the exam?
@BruhMoment-gm8zc
@BruhMoment-gm8zc 2 жыл бұрын
Depends on your teacher.
@ellie-di7cv
@ellie-di7cv 2 жыл бұрын
it could be on the calculator or the non calculator exam for gcse :)
@zakyrabbani7194
@zakyrabbani7194 2 жыл бұрын
@@ellie-di7cv both papers allow calculator in gcse
@glxsyy.Yuko4
@glxsyy.Yuko4 5 ай бұрын
Quickest way to understand: divide the price £ by the percentage % and then the answer from that, times it by 100
@vijaybansod1190
@vijaybansod1190 7 ай бұрын
This is for learning math.
@brosnya5471
@brosnya5471 3 жыл бұрын
How do you do it without a calculator??
@anime_simpqueen1659
@anime_simpqueen1659 2 жыл бұрын
i was crying because everyone in my class said how simple it was and i could never understand it but now im literally a pro at it thanks to your videos
@Cognitoedu
@Cognitoedu 2 жыл бұрын
Glad we could help you out 👍
@Black_Mn850
@Black_Mn850 Жыл бұрын
wait on the first one cant you do 207,000 divided by 1.15
@IbrahimAhmed-hj2fp
@IbrahimAhmed-hj2fp Жыл бұрын
I think the new price will be 36.9 because 100-18=82. 82*0.45=36.8 right . If i am right please comment
@IbrahimAhmed-hj2fp
@IbrahimAhmed-hj2fp Жыл бұрын
Sorry is 36.9
@shahymohamed5087
@shahymohamed5087 2 жыл бұрын
You are pro
@RhoyaWRLD
@RhoyaWRLD 2 жыл бұрын
my teacher confused me as we'd use both diving by like 1.1 and I'm very confused still but this method is easier for me
@Beck2008
@Beck2008 22 күн бұрын
will be doing my gcse in 2025 really need a grade 7 in maths
@favoured2890
@favoured2890 2 жыл бұрын
GCSE MATH? I had to do this for my 11+ !
@xetro9777
@xetro9777 2 жыл бұрын
How did it go?
@eg5240
@eg5240 3 жыл бұрын
Thank you so much!!!!!!!!!!!!!!!
@shahnarifan6816
@shahnarifan6816 2 жыл бұрын
thanks
@optify_xltd3210
@optify_xltd3210 3 жыл бұрын
I'm still watching
@twendo7310
@twendo7310 2 жыл бұрын
Nice I was struggling in maths
@probsloms
@probsloms 2 жыл бұрын
3:03 revising for a progress check in y9 set 1 rn lol they give us gcse papers, and why is a pair of sunglasses £72 lol thats a ripoff just saying
I tricked MrBeast into giving me his channel
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