A) Rs. 8000, Rs. 4800
B) Rs. 6000, Rs. 3600
C) Rs. 10000, Rs. 6000
D) Rs. 9000, Rs. 5400
Correct Answer: A
Solution :
Let the incomes of two persons be Rs. 5x and Rs. 3x and their expenditures be Rs. 9x and Rs. 5x respectively. |
As given, \[5x-9y=2600\] ...(i) |
\[3x-5y=1800\] ?(ii) |
By \[5\times \]Eq. (i) \[-\,\,9\times \]Eq. (ii), we get |
\[25x-27x=13000-16200\] |
\[\Rightarrow \]\[-\,\,2x=-3200\] |
\[\Rightarrow \]\[x=\frac{3200}{2}=1600\] |
First person's income = Rs. \[(1600\times 5)\] = Rs. 8000 |
Second person's income = 3x = Rs. \[(1600\times 3)\] |
= Rs. 4800 |
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