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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: Option A
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Solution(By Apex Team)

$\begin{array}{l}\text{Investment of A for 8 months}\\ \text{= Rs. 15400}\\ \text{Investment of B for 6 months}\\ \text{= Rs. 18200}\\ \text{Investment of C for 8 months}\\ \text{= Rs. 12600}\\ \text{Ratio of the share of A, B and C}\\ =15400 \times 8: 18200 \times 6: 12600 \times 8 \\ =154 \times 8: 182 \times 6: 126 \times 8 \\ =44: 39: 36 \end{array}$ $\begin{array}{l}\text{Sum of the terms of ratio}\\ =44+39+36\\ =119\end{array}$ $\begin{aligned}&\therefore\text{ Share of }\mathrm{C}\\ &=\text{ Rs. }\left(\frac{36}{119}\times28790\right)\\ &=\text{Rs.}.8710\approx\text{Rs}.8712\end{aligned}$

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