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Q: In a partnership deal, A contributes Rs 3200 for 4 months, B contributes Rs 5100 for 3 months and C contributes Rs 2700 for 5 months. How should they divide a total profit of Rs 1248 among themselves?
A. Rs 384, Rs 459, Rs 405 B. Rs 284, Rs 259, Rs 205
C. Rs 384, Rs 359, Rs 305 D. Rs 584, Rs 459, Rs 705

Answer and Explanation

Answer:Rs 384, Rs 459, Rs 405

Explanation:
We calculate the equivalent capitals for one month:
A’s capital for 1 month = Rs (3200*4) = Rs 12800
B’s capital for 1 month = Rs (5100*3) = Rs 15300
C’s capital for 1 month = Rs (2700*5) = Rs 13500

∴ the ratio of A,B and C’s share is 12800:15300: 13500 = 128:153:135
Sum of the ratios = 128 + 153 +135 = 416
A’s share = Rs (1248*128)/ 416 = Rs 384
B’s share = Rs (1248*153)/ 416 = Rs 459
C’s share = Rs (1248*135)/ 416 = Rs 405

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