Seema 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?Options14 : 35 : 1016 : 45 : 2016 : 30 : 1818 : 19 : 20
Question
Seema 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?Options14 : 35 : 1016 : 45 : 2016 : 30 : 1818 : 19 : 20
Solution
To find the ratio in which the profits are shared by Seema, Heema, and Neema, we need to consider their investments and the time period for which they were invested.
Let's break down the given information:
- Seema invested 20,000 for the entire 2-year period.
- Heema joined after 6 months, so her investment was active for 1.5 years (half of 2 years). She invested 75,000.
- Neema joined after another 6 months, so her investment was active for 1 year (half of 2 years). She invested 50,000.
Now, let's calculate the total investments made by each person:
- Seema: 20,000 * 2 = 40,000
- Heema: 75,000 * 1.5 = 112,500
- Neema: 50,000 * 1 = 50,000
The ratio in which the profits will be shared is:
Seema : Heema : Neema 40,000 : 112,500 : 50,000
Simplifying the ratio by dividing all the values by 2,500, we get:
16 : 45 : 20
Therefore, the correct ratio in which the profits will be shared by Seema, Heema, and Neema respectively at the end of 2 years is 16 : 45 : 20.
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