The monthly salaries of A and B together amount to Rs. 40000. A spends 85% of his salary and B spends 95% of his salary. If now their savings are the same, then the salary of A is
This questions was previously asked in
SBI Clerk Prelims (12 Jul, 2021 Shift 1)
Rs. 10,000
Correct AnswerRs. 12000
Incorrect AnswerRs. 16000
Incorrect AnswerRs. 18000
Incorrect Answernone of these
Incorrect AnswerExplanation:
- Let's denote A's salary as Rs. X and B's salary as Rs. 40000 - X.
- A saves 15% of his salary since he spends 85%. So, A's savings = 0.15X.
- B saves 5% of his salary since he spends 95%. So, B's savings = 0.05(40000 - X).
- Given that their savings are the same:
\[
0.15X = 0.05(40000 - X)
\]
- Solving the equation:
- \(0.15X = 2000 - 0.05X\)
- \(0.20X = 2000\)
- \(X = 10000\)
- Therefore, the correct salary of A is Rs. 10,000.
Conclusion: The correct answer is Option 1: Rs. 10,000.
![]()
By: Parvesh Mehta