A and B have their monthly incomes in the ratio 8: 5, while their monthly expenditures are in the ratio 5: 3. If they have saved Rs. 12000 and Rs. 10000 monthly respectively, then the difference in their monthly in comes is |
A) Rs. 52000
B) Rs. 46000
C) Rs. 44000
D) Rs. 42000
Correct Answer: D
Solution :
Let A's and B's monthly income be 8x and 5x and expenditures be 5y and 3y. |
\[\therefore \] \[8x-5y=12000\] (i) |
and \[5x-3y=10000\] ... (ii) |
From Eqs. (i) and (ii), we get |
\[x=14000\] and \[y=20000\] |
\[\therefore \] A's income \[=8x=8\times 14000=Rs.\,112000\] |
B's income\[=5x=5\times 14000=Rs.\,70000\] |
\[\therefore \] Difference \[=112000-70000=Rs.\,42000\] |
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