A sum of money lent out at compound interest increases in value by 50% in 5 year

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A sum of money lent out at compound interest increases in value by 50% in 5 years. A person wants to lend three different sums 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 at the end of their respective periods. The ratio x : y : z is = ?

Options:

A . 6 : 9 : 4

B . 9 : 4 : 6

C . 9 : 6 : 4

D . 6 : 4 : 9

Answer: Option C

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