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The average income of A, B and C is Rs. 12,000 per month and average income of B, C and D is Rs. 15,000 per month. If the average salary of D be twice that of A, then the average salary of B and C is in Rs. :

a) 13,500
b) 9,000
c) 8,000
d) 18,000

Answer: a
Explanation:
$$\eqalign{ & A + B + C = 12000 \times 3 \cr & B + C + D = 15000 \times 3 \cr & \to D – A = 3000 \times 3 = 9000 \cr & \,D = 2A \cr & \,D = 18000\,{\text{and}}\,A = 9000 \cr & {\text{Therefore}}, \cr & {\text{Average}}\,{\text{salary}}\,{\text{of}}\,B\,{\text{and}}\,C, \cr & = \frac{{ {45000 – 18000} }}{2} \cr & = 13500 \cr} $$

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