| Neet, out of the total monthly salary, pays 20% towards house and 15% towards his miscellaneous expenditure. From the remaining amount, the respective ratio of the amount he invests in a scheme and the amount left with him is 5: 8. If he invests Rs. 6500 in the scheme, then what is his monthly salary? |
| [IBPS RRB (Office Assistant) 2015] |
A) Rs. 26000
B) Rs. 36250
C) Rs. 27000
D) Rs. 24250
E) Rs. 30000
Correct Answer: A
Solution :
| Let Neet's total monthly salary be Rs. x. |
| Expenditure =(20%+15%)=35% |
| Remaining amount = 65% |
| Ratio of the amount invested and amount left is 5: 8. |
| \[\frac{\text{6500}}{\text{65 }\!\!%\!\!\text{ }\,\,\text{of}\,x-6500}=\frac{5}{8}\] |
| \[\Rightarrow \] \[6500\times 8=5\,\,\left( \frac{65}{100}x-6500 \right)\] |
| \[\Rightarrow \] \[52000=\frac{65}{20}x-32500\] |
| \[\Rightarrow \] \[84500=\frac{13}{4}x\] |
| \[\Rightarrow \] \[\frac{84500\times 4}{13}=x\] |
| \[\therefore \] \[26000=x\] |
| Hence, monthly salary is Rs. 26000. |
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