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?Options18 : 19 : 2014 : 35 : 1016 : 45 : 2016 : 30 : 18
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?Options18 : 19 : 2014 : 35 : 1016 : 45 : 2016 : 30 : 18
Solution 1
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Solution 2
To find the ratio in which the profits are shared by Seema, Heema, and Neema, we need to calculate their individual investments and the time period for which they have been invested.
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: Seema's investment = 20,000 * 2 = 40,000 Heema's investment = 75,000 * 1.5 = 112,500 Neema's investment = 50,000 * 1 = 50,000
The ratio in which the profits will be shared is: Seema : Heema : Neema = 40,000 : 112,500 : 50,000
To simplify the ratio, we can divide all the values by the greatest common divisor (GCD) of the three values, which is 2,500.
Simplified ratio = 40,000 / 2,500 : 112,500 / 2,500 : 50,000 / 2,500 = 16 : 45 : 20
Therefore, the correct answer is 16 : 45 : 20.
Solution 3
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