Multiple choice

Three partners A, B and C shared the profit in a software business in the ratio $5:7:8$. They had partnered for $14$ months, $8$ months and $7$ months respectively. Find the ratio of their investments?

  1. $20:49:64$
  2. $20:39:64$
  3. $14:17:64$
  4. $20:49:67$
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A Correct answer
Explanation

Investment ratio = Profit ratio / Time ratio. A: 5/14, B: 7/8, C: 8/7. To clear denominators, multiply by 56: A = 5/14 * 56 = 20, B = 7/8 * 56 = 49, C = 8/7 * 56 = 64. Ratio is 20:49:64.

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