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tu kujiunga na mimi
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basi no semini
basic ni seminu nini
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utaki niongee na anko aya basi
utaki niongee na anko aya basi
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basi, herode akatuma mtu gerezani amkate kichwa yohane.
basi, herode akatuma mtu gerezani amkate kichwa yohane.
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168 succeeding in numerical reasoning tests previously we were looking at ratios in static situations but here we have a dynamic situation where we need to calculate more than one value to get to the answer - in this case, we need to find out what the profits were in july before we can get to the figure for august. june july august 80,000 eur here we start with the known value (80,000 euro) to which we add the relevant per- centage change: 80,000 + (80,000 x 50%) = 80,000 + 40,000 = 120, 000. let's name all the elements in this equation: our starting value will be called basis, the percentage change called change and the resulting value the new value. using these, our formula is therefore like this: basis + basis x change = new value we can notice that basis is part of both elements on the left side, therefore, we can group these elements. by pulling out basis, we get the following formula: basis x (1 + change) = new value this formula can be our starting point for any calculation. as mentioned above, we will always be asked to calculate one of the three elements of this formula. scenario 1: calculating the new value (both increase and decrease) as shown above, the first half of the problem can be solved like this: 80,000 x (1 + 0. 5) = 80,000 x 1.5 = 120,000 continuing from here, we can use the formula again for the second half to calculate august, but this time applying a minus for the 50 because profits decreased: 120,000 x (1 - 0. 5) = 60, 000. scenario 2: calculating the change calculating the change in the case of an increase remember our formula: basis x (1 + change) = new value to calculate change we have to rearrange the formula: 1 + change = new value / basis let's return to our previous example, but assume we instead know the profits for june and july and have to calculate the percentage increase: june july august 80,000 eur 120,000 eur 1 + change = 120,000 / 80,000 change = (120,000 / 80, 000) - 1 change = 1.5 - 1 change = 0.5 = 50%
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