| Incomes of X and Y are in the ratio 4: 3. Their expenditures are in the ratio 12: 7. Both save Rs. 3200 at the end of the month, then the income of X is [SSC (CPO) 2015] |
A) Rs. 8000
B) Rs. 4000
C) Rs. 2000
D) Rs. 6000
Correct Answer: A
Solution :
| Let income of X and Y respectively 4a and 3a and their expences are 12b and 7b, respectively. |
| Then, according to the question, |
| \[4a-12b=3200\] ... (i) |
| and \[3a-7b=3200\] ...(ii) |
| On solving Eqs. (i) and (ii), we get |
| \[a=2000\] and \[b=\frac{200}{3}\] |
| \[\therefore \] Income of \[X=4a=4\times 2000=Rs.\,8000\] |
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