Question: 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]
Options:
A) Rs. 26000
B) Rs. 36250
C) Rs. 27000
D) Rs. 24250
E) Rs. 30000
Show Answer
Answer:
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{6500}{\text{65 }%of,x-6500}=\frac{5}{8} $
$ \Rightarrow $ $ 6500\times 8=5( \frac{65}{100}x-6500 ) $
$ \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.