Multiple choice

Three partners shared the profit in a business in the ratio of 5 : 7 : 8. They had invested for 14 months, 8 months, and 7 months, respectively. What was the ratio of their investments?

  1. 5 : 7 : 8

  2. 28 : 49 : 64

  3. 38 : 28 : 21

  4. 20 : 49 : 64

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Investment * Time = Profit. Let investments be I1, I2, I3. I1*14 : I2*8 : I3*7 = 5 : 7 : 8. I1 = 5/14, I2 = 7/8, I3 = 8/7. Multiplying by 56 (LCM of 14, 8, 7): I1 = 20, I2 = 49, I3 = 64.

AI explanation

The profit ratio equals the ratio of investment multiplied by time, which means the investment ratio equals the profit ratio divided by the time ratio. The profit ratio of 5 to 7 to 8 is divided by the respective time periods of 14, 8 and 7 months. This gives the investment ratio as 5/14 to 7/8 to 8/7, which simplifies to 20 to 49 to 64 when multiplied by the least common multiple of the denominators.

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