25 Sep '07 15:27

Our lucky man Herman just inherited 90 million dollars and his rich uncle said to take some out and invest the rest for income. His uncle said to take out some percentage number, a natural number from 1 to 50 percent. But only choose the ones that a bank can pay you exactly without leftovers, such as 0,1456 cents.

So Herman does some quick calcs and sees that if he takes off 10 percent of the 90 mil, he gets 9 mil and that is 81 mil V 9 mil, a 9 to 1 ratio. Is there a formula that can show which cases from 1 to 50 percent removed from the 90 mil will lead to exact solutions? For instance, if you want to have a ten to one ratio, that requires you to remove 8,181,181,81 but that leads to a bit of excess the bank would require you to pay. So how do you calculate these ratios? That is to say, the ratio between what you have left to invest V what you have taken out. It is interesting that if you take out ten percent and have an exact amount, $9,000,000.00 that the ratio is not 10:1 but 9:1, comparing the two numbers after the withdrawal.

So Herman does some quick calcs and sees that if he takes off 10 percent of the 90 mil, he gets 9 mil and that is 81 mil V 9 mil, a 9 to 1 ratio. Is there a formula that can show which cases from 1 to 50 percent removed from the 90 mil will lead to exact solutions? For instance, if you want to have a ten to one ratio, that requires you to remove 8,181,181,81 but that leads to a bit of excess the bank would require you to pay. So how do you calculate these ratios? That is to say, the ratio between what you have left to invest V what you have taken out. It is interesting that if you take out ten percent and have an exact amount, $9,000,000.00 that the ratio is not 10:1 but 9:1, comparing the two numbers after the withdrawal.