A) Rs. 1500, Rs. 2250
B) Rs. 1200, Rs. 1800
C) Rs. 1600, Rs. 2400
D) Rs. 1400, Rs. 2100
Correct Answer: C
Solution :
Let the income of two persons (A and B) be Rs. 2x and Rs. 3x, respectively. Again let the expenditures of A and B be Rs. 5y and Rs. 9y, respectively. \[\therefore \] \[2x-5y=600\] ...(i) \[3x-9y=600\] ...(ii) From Eqs. (i) and (ii), we get \[2x-5y=3x-9y\] \[\Rightarrow \] \[x=4y\] From Eq. (i), we get \[2\times 4y-5y=600\] \[\Rightarrow \] \[3y=600\] \[\Rightarrow \] \[y=200\] \[\therefore \] \[x=4\times 200=800\] \[\therefore \] A's income \[=2x=2\times 800\]= Rs. 1600 B' s income \[=3x=3\times 800=\] Rs. 2400You need to login to perform this action.
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