| A, B and C enter into a partnership, A contributes Rs. 320 for 4 months, B contributes Rs. 510 for 3 months and C contributes Rs. 270 for 5 months. If the total profit is 208, then the profit shares of the partners are |
A) 64, 76.50, 67.50
B) 64, 32, 56
C) 52, 86, 64
D) 92, 84, 82
Correct Answer: A
Solution :
| A's profit: B's profit: C's profit |
| \[=320\times 4:510\times 3:270\times 5\] |
| \[=1280:1530:1350\] |
| \[=128:153:135\] |
| \[\therefore \]\[\text{Profit}\,\,\text{of}\,\,\text{A}=\frac{128}{(128+153+135)}\times 208\] |
| \[=\frac{128}{416}\times 208=64\] |
| \[\text{Profit}\,\,\text{of}\,\,\text{B}=\frac{153}{416}\times 208=76.5\] |
| \[\text{Profit}\,\,\text{of}\,\,\text{C}=\frac{135}{416}\times 208=67.50\] |
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