Multiple choice

Leena and Reena commenced a partnership firm for an year, where both of them invested equal money. 5 months hence, Reena made an additional investment of Rs. 4,500. If Leena received a profit equal to 66.66% of Reena's share, then find the total initial investment made by Leena and Reena.

  1. Rs. 10,500

  2. Rs. 10,250

  3. Rs. 9,750

  4. Rs. 8,500

  5. Rs. 7,500
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A Correct answer
Explanation

Let initial investment be x. Leena's capital = x*12. Reena's capital = x*5 + (x+4500)*7 = 12x + 31500. Profit ratio is 2/3 (66.66%). So (12x)/(12x+31500) = 2/3. 36x = 24x + 63000, 12x = 63000, x = 5250. Total initial investment = 2x = 10500.

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