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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. :
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& A + B + C = 12000 \times 3 \cr
& B + C + D = 15000 \times 3 \cr
& \to D - A = 3000 \times 3 = 9000 \cr
& {\text{Also}},\,D = 2A \cr
& {\text{Then}},\,D = 18000\,{\text{and}}\,A = 9000 \cr
& {\text{Therefore}}, \cr
& {\text{Average}}\,{\text{salary}}\,{\text{of}}\,B\,{\text{and}}\,C, \cr
& = \frac{{ {45000 - 18000} }}{2} \cr
& = 13500 \cr} $$
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LoginB+C+D=45000
Then,
B+C=45000-D
Or, A+45000-D=36000
Or, D-A=9000
Thefore, A 9000 and D 18000