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A sum was split into three parts. The fi...

A sum was split into three parts. The first part was lent at 10% per annum for 4 years. The second part was lent at 20% per annum for 6 years. The third part was lent at 30% per annum for 5 years. Each part was lent at simple interest and the same amount of simple interest was realised from each. Find the ratio of the first, second and third parts.

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The correct Answer is:
`15:12:5`
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