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A sum of money lent out at compound inte...

A sum of money lent out at compound interest at acertain rate increases in value by `50%` in 5 years. A person wants to lend three different sums of money `'x','y' and 'z'` for `10, 15 and 20` years respectively at the above rate in such a way that he gets back equal sums of money at the end of the three periods.

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