Hey there. Thank you for checking out my channel and thank you for clicking on this video This video is still part of the series of videos I’m posting to try to have people out when it comes to civil service exam and other aptitude tests and if you’re not yet part of Team Lyqa, all you have to do is to go www.facebook.com/teamlyqa. Like that page so you’d find out as soon as a new video posts and other content posts Also, the announcements for our upcoming review events. Now, we are going to talk about ratio rotation today, it’s going to be an exciting video. Because this is one of my favorite techniques to teach and also one of the techniques that’s become the favorite of the people who enroll in one of my review programs. They love learning about it. Because it simplifies everything it’s not actually something that you can only use for ratio, you can also use this for discounts. That is going to be in a separate video But if you have a copy of Team Lyqa’s, workbook number one, (if you don’t have a copy of this yet can go to www.facebook.com/teamlyqa to find out how to purchase it) this Workbook contains the exercises for this it’s going to be on page 6. Page 6 is the ratio rotation page And I’m going to walk you through, so I’m going to switch over to my PC so I can show you better We’re going to talk about Ratio rotation right now. This is the first sample problem, again if you have your workbook. It’s right there 3 is to 4 is equal to blank is to 28. so this format of problem is common when it comes to aptitude exams especially in the civil service exam There are a couple of ways to solve it. I’m going to show you what my method is. So the traditional method of this is basically cross-multiplication Okay. Teachers usually say that this is what you’re going to do. 3 over 4 is equal to x over 28 and then you will cross multiply So in cross-multiplication it will become 3 times 28 is equal to 4x going downwards I’m not going to solve that because it takes a lot of time, but I’m going to show you if the answers are valid, we will compare it later. So, my method in ratio rotation I think is easier and faster because you can mental math The first challenge here is, how do you form the fraction equation So same as earlier, 3 over 4 is equal to x over 28. It’s very important that you should not switch the positions So it means, the first one should match the first one on the other side. They should be adjacent. And this 4 and the 28 at the back, they are the ones should be match. If you interchange them and write 3 over 4 is equal 28 over x, the answer will be different However with my method regardless if you write it this way or you or write it as 4 over 3, as long as it’s equivalent is 28 over X as long as 3 and x are adjacent and 4 and 28 are adjacent, the answer will be the same So the most important thing is that you should make sure that everything is in correct place, so let’s start with this. In my method instead of cross multiplication what I do is what I call ratio rotation ratio rotation is basically rotating this so this x, (I can either start here or here which ever is easier) what I’m going to do is this, I start with 28 I will rotate it like this, okay? I start with this 28 divided by 4, okay 28 divided by 4 and then since the opposite of division is multiplication, I will multiply in this side, okay so 28 divided by 4 is 7 Okay, I will multiply 7 to 3. It will become 21. x is equal to 21 Now, if you don’t believe me and why it came up to that answer, we can go We can go back with our old school method 3 times 28, again this This is the reason why I use ratio rotation because at this point think about 28 times 3 which one is easier 28 times 3 or 28 divided by 4? of course 28 divided by 4 right? Because if 28×3 If old school method you still need to multiply and carry the numbers in my method, which is 25 times 3 plus 3 times 3 so that is a 75+9 that’s 84 So 84 84 is equal to 4x Divide both sides by 4 to cancel this 84 divide by 4 is 21 so 21 it’s the same with the answer here in ratio rotation, so again What you’re going to do is to choose which side is easier to do Divide and then multiply, okay? in this case like i said even if you interchange it, as long as the positions are right You’ll get the right answer. We can start with the x since this has the highest value I will rotate it like that 28 divided by 4×3 so it’s just the same, so the answer will still be 21, okay? Let’s pick another example. For example this one, 2 is to 18 as 8 is to blank So again the 2 in front is adjacent at the other side So 2 over 18 is equal to 8 over x So again, this is x. I’d choose at side on where will I start Either way, which one is easier for you, but for me I’d like to start from the biggest number first So, 18 divided by 2 times 8 so 18 divided by 2 is 9 times 8 is equal to? 72 Okay, and that is my answer If we check using the old school method, you have 2 over 18 is equal to 8 over x 1 cross multiply it 18 times 8 is equal to 2 x ok so 18 times 8 So you see how tedious this is 8 times 8 is 64? 6 8 14 144 is equal to [2x] over 2 to cancel this so this would be 72 so again, it’s just the same, but if you notice the traditional method takes a lot longer than this method So that is the reason why I use ratio rotation all the time another example is this 6 is to 10 as 366 is to blank when it comes to this you can see it has a bigger number but you don’t have to be afraid You just have to write it down. 6 over 10 is equal to what is the other side of 6? 366 Over x since that is the missing So 366 we will just rotate it you will start there since that is the easiest, since 366 is divisible by 6, that is 360 6 divided by 6 is 61 ticmes 10 the answer is 610 ok, why is it easier? Because the traditional method would be this, you will cross multiply 366 times 10 is equal to 6x, so 3660 is equal to 6x divided by 6 so again you notice how how long it takes and Bottom line, the answer would still be 610 so we are still correct, okay. Alrighty! I hope that helped you if you found this helpful, you can click thumbs up and of course I Suggest that you subscribe to this channel, so you’d find out as soon as a new video posts The next video is going to be about discounts Why discounts? Because I actually use the same technique I do in ratio rotation in those questions if you are interested to find out on how to solve questions like, “After a 25% discount what is the new price of a T-shirt or what is the price after fifteen percent discount or what is the price after a 15% discount?” In those kinds of questions, I also use ratio rotation for that. Which I am going to show you on my next videos So if you want to find out as soon as that video is up, click Subscribe, also you can go to www.facebook.com/teamlyqa so you’d find out if when the new exercises and stuff that I make are released. Thanks for watching and God bless you aja! aja! you can do it!