Multiple choice

A, B, C started a business in a partnership. The ratio of the time duration of their capital is 2:3:5. The profit ratio at the end of the year is 6:12:10. Then find the ratio of their capital?

  1. $1:2:3$
  2. $2:3:5$
  3. $3:4:2$
  4. $2:3:4$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In partnership, profit ratio = capital ratio × time ratio. Given time ratio 2:3:5 and profit ratio 6:12:10, the capital ratio = profit/time. For A: 6/2 = 3, B: 12/3 = 4, C: 10/5 = 2. So capital ratio is 3:4:2. Verify: 3×2:4×3:2×5 = 6:12:10 ✓

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