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my point here is: knowledge does not take up any space. so the more resources you have to solve problems, the better for your performance. this way, in case you have only a few seconds to answer the last question of your test, and need to obtain quickly the increase between two figures, for example, from 850 euros to 1200 euros, it will be much faster doing one operation (division) with your calculator: 1200 / 850 = 1.4118 41.18% increase than doing two operations (subtraction and division): (1200 - 850) / 850 = 0.4118 -> 41.18% considering that both methods give you the same information, if you look carefully at their decimal figures. that is why i told you in our book's introduction that numbers can 'speak' to you somehow, giving more information that you could expect from them at first sight. let me present too how to obtain percentage decreases with this system, in a very similar way. for example: initial value: 200 final value: 175 how much is the variation? we apply exactly the same formula: 92
note that, as you get more practice, you will not even need to subtract the unit, because when you obtain the direct result, 1.1, this is exactly the way that we used in our section of percentages review to increase values, referred to the unit, like for example: to increase 200 by 10% (so, 1 + 0. 10) 200 * 1.10 = 220 so when you get the factor, 1.1, you can deduce this means an increase of 10%. now let us compare how much faster is getting the variations of our exercise, in relation to the first formula that we explained: lifestyle g.: 122 / 110 = 1.1091 -> 10.91% increase ocado p.: 230 / 210 = 1.0952 9.52% increase sun ph.: 205 / 185 = 1.1081 10.81% increase please take your time to understand this method, and practise with your own values too. you could maybe think that it is a bit too advanced for your level, especially if you still feel unconfident when working with percentages. in that case, you could keep using the classical formula in your exam, no problem, because you will probably have time enough to do the calculations required. 91