Question
A, Band 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.
Answer: Option A
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Let the initial investments of A, Band 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
1O8x : (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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