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A, B and C entered in to a partnership by investing Rs. 15400, Rs.18200 and Rs. 12600 respectively. B left after 6 months. If after 8 months, there was a profit of Rs. 28790, then what is the share of C in the profit ?

a) Rs. 8712
b) Rs. 9432
c) Rs. 8352
d) Rs. 8568

Answer: a
Explanation:
$$\eqalign{ & {\text{Investment of A for 8 months}} = {\text{Rs}}{\text{.15400}} \cr & {\text{Investment of B for 6 months}} = {\text{Rs}}{\text{.18200}} \cr & {\text{Investment of C for 8 months}} = {\text{Rs}}{\text{.12600}} \cr & {\text{Ratio of the share of A, B and C}} \cr & = 15400 \times 8:18200 \times 6:12600 \times 8 \cr & = 154 \times 8:182 \times 6:126 \times 8 \cr & = 44:39:36 \cr & {\text{Sum of the terms of ratio}} \cr & = 44 + 39 + 36 \cr & = 119 \cr & {\text{ Share of C}} \cr & = {\text{Rs}}{\text{.}}\left( {\frac{{36}}{{119}} \times 28790} \right) \cr & = {\text{Rs}}{\text{.8710}} \approx {\text{Rs}}{\text{.8712}} \cr} $$

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