A) Rs. 9000, Rs. 5400
B) Rs. 10000, Rs. 6000
C) Rs. 1000, Rs. 3600
D) Rs. 8000, Rs. 4800
Correct Answer: D
Solution :
[d] Let the incomes of A and B be Rs. 5x and Rs. 3x respectively and let their expenditures be Rs. 9y and Rs. 5y, respectively. Then, \[5x-9y=2600\] ...(i) and \[3x-5y=1800\] ...(ii) On multiplying Eq. (ii) by 9 and Eq. (i) by 5 and subtracting, we get \[2x=3200\]\[\Rightarrow \]\[x=1600\] \[\therefore \] A's income \[=Rs.(5\times 1600)\] = Rs. 8000, B's income \[Rs.(3\times 1600)\] \[\text{Rs}\text{.=4800}\] |
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