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A, B and C share the profit in the ratio of 2 : 3 : 7. If the average gain is Rs. 8000, then B’s share is ?

a) Rs. 2000
b) Rs. 1000
c) Rs. 1500
d) Rs. 6000

Answer: d
Explanation:
    A     :     B     :     C  
Ratio of Profit →     2     :     3     :     7  

$$\eqalign{ & {\text{Average gain}} = \frac{{2 + 3 + 7}}{3} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 4{\text{ units}} \cr & {\text{4 units}} = {\text{Rs}}{\text{. 8000}} \cr & {\text{1 unit}} = {\text{Rs}}{\text{. 2000}} \cr & {\text{3 units}} = 3 \times 2000 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. 6000}} \cr & {\text{Share of B}} = {\text{Rs}}{\text{. 6000}} \cr} $$

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