A) Rs. 46000
B) Rs. 42000
C) Rs. 44000
D) Rs. 52000
Correct Answer: B
Solution :
[b] Let, the monthly income of A and B be Rs. 8x and Rs. 5x and monthly expenditure Rs. 5y and Rs. 3y respectively. Then, According to the questions, \[\frac{8x-5y}{5x-3y}=\frac{12000}{10000}\] \[\Rightarrow \]\[(8x-5y)\times 5=(5x-3y)\times 6\] \[\Rightarrow \]\[40x-25y=30x-18y\] \[\Rightarrow \] \[10x=7y\] \[\therefore \] \[50x=35y\] (i) \[\therefore \] \[8x-5y=12000\] \[\Rightarrow \] \[56x-35y=84000\] \[\Rightarrow \] \[56x-50x=84000\] [from Eq. (i)] \[\Rightarrow \] \[6x=84000\] \[\therefore \] \[x=14000\] Required difference \[=8x-5x=3\times 14000=\text{Rs}.\,\,42000\] |
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