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Pranab De
Asked: 2022-11-05T22:12:03+05:30 In:

A, B and C enter into a partnership by investing in the ratio of 3 : 2: 4. After 1 year, B invests another Rs. 2,70,000 and C, at the end of 2 years, also invests Rs.2,70,000. At the end of three years, profits are shared in the ratio of 3 : 4 : 5. Find initial investment of each.

A, B and C enter into a partnership by investing in the ratio of 3 : 2: 4. After 1 year, B invests another Rs. 2,70,000 and C, at the end of 2 years, also invests Rs.2,70,000. At the end of three years, profits are shared in the ratio of 3 : 4 : 5. Find initial investment of each.

Thermodynamics
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  1. Let the initial investments of A, B and C be Rs. 3x, Rs. 2x and Rs. 4x respectively. 

    Then, (3x x 36) : [(2x x 12) + (2x + 270000) x 24] : [(4x x 24) + (4x +270000) x 12]=3:4:5 

    108x : (72x + 6480000) : (144x + 3240000) = 3 : 4 : 5 

    108x /(72x+6480000)=3/4 

    432x = 216x + 19440000 

    216x = 19440000 

    x=90000

    Hence, A’s initial investment = 3x = Rs. 2,70,000; 

    B’s initial investment = 2x = Rs. 1,80,000; 

    C’s initial investment = 4x = Rs. 3,60,000. 

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