# A, B, and C enter into a partnership. A invests Rs. 25 lakhs initially and adds another Rs.10 lakhs after 1 year. B invests Rs. 35 lakhs initially and

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A, B, and C enter into a partnership. A invests Rs. 25 lakhs initially and adds another Rs.10 lakhs after 1 year. B invests Rs. 35 lakhs initially and withdraws Rs. 10 lakhs after 2 years. C invests Rs. 30 lakhs. What fraction C of the profit will Get after 3 years?
1. 19/56
2. 19/28
3. 9/28
4. 17/28

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Correct Answer - Option 3 : 9/28

Given:

Initial investment of A is Rs.25 lakhs

Initial investment of B is Rs.35 lakhs

Initial investment of C is Rs.30 lakhs

Calculation:

Total investment of A,

⇒ 25 × 1 + (25 + 10) × 2 = Rs.95 lakhs

Total investment of B,

⇒ 35 × 2 + (35 - 10) × 1 = Rs.95 lakhs

Total investment of C,

⇒ 30 × 3 = Rs.90 lakhs

Ratio of profits after 3 years,

⇒ 95 : 95 : 90 = 19 : 19 : 18

∴ Fraction of profit B will get = 18/(19 + 19 + 18) = 18/56 = 9/28

Ratio of profit = Ratio of investment