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Select the correct answerSeema started a business investing 20,000. After six months, Heema joined her with 75,000. After another six months, Neema also joined them with 50,000. What should be the ratio in which the profits are shared by the 3 persons respectively at the end of 2 years?Options16 : 45 : 2016 : 30 : 1814 : 35 : 1018 : 19 : 20

Question

Select the correct answerSeema started a business investing 20,000. After six months, Heema joined her with 75,000. After another six months, Neema also joined them with 50,000. What should be the ratio in which the profits are shared by the 3 persons respectively at the end of 2 years?Options16 : 45 : 2016 : 30 : 1814 : 35 : 1018 : 19 : 20

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Solution

The profit share of a business is usually divided according to the capital invested and the time for which the capital was invested.

  1. Seema invested 20,000 for 24 months (2 years).
  2. Heema invested 75,000 but only for 18 months (since she joined 6 months after Seema).
  3. Neema invested 50,000 but only for 12 months (since she joined 1 year after the business started).

So, the ratio of their investments would be:

Seema : Heema : Neema = (2000024) : (7500018) : (50000*12)

This simplifies to:

Seema : Heema : Neema = 480000 : 1350000 : 600000

We can simplify this ratio further by dividing all parts by 10000:

Seema : Heema : Neema = 48 : 135 : 60

This ratio can be simplified further by dividing all parts by 3:

Seema : Heema : Neema = 16 : 45 : 20

So, the profit should be shared in the ratio 16 : 45 : 20. Therefore, the correct answer is "16 : 45 : 20".

This problem has been solved

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