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Rohan and Sohan started a partnership business with initial investment in the respective ratio of 3: 1. After 4 months, Rohan invested Rs. 2000 more and after 2 more months Sohan invested Rs. 6000 more. If Rohan’s profit share is double of sohan’s profit share after a year, then what was Rohan’s initial investment?

Rohan and Sohan started a partnership business with initial investment in the respective ratio of 3: 1. After 4 months, Rohan invested Rs. 2000 more and after 2 more months Sohan invested Rs. 6000 more. If Rohan’s profit share is double of sohan’s profit share after a year, then what was Rohan’s initial investment? Correct Answer Rs. 14000

Given:

Ratio of initial investment = 3: 1

Profit share ratio = 2: 1 at the end of the year

Concept:

Rohan invests 2000 more after 4 months. And sohan invests 6000 more after 6 months.

Calculation:

Let for the first 4 months Rohan’s investment be ‘3x’

⇒ After 4 months, Rohan invested 2000 more

⇒ (3x × 12) + (2000 × 8)

Let For the first 6 months, Sohan’s investment be ‘x’

⇒ After 6 months, Sohan invested 6000 more

⇒ (x × 12) + (6000 × 6)

Now, ratio of profit share will be same as ratio of investment

and ratio of profit share

⇒ ((3x × 12) + (2000 × 8))/((x × 12) + (6000 × 6)) = 2/1

⇒ 12x = 56000

⇒ 3x = 14000

∴ Rohan’s initial investment = Rs. 14,000 

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