The salaries of P and Q together amount to Rs1,20,000. P spends 95% of his salary and Q 85% of his. If their savings are the
same, then what is P’s salary?
This questions was previously asked in
SSC CHSL 31st May 2022 Shift-3
Rs80,000
Incorrect AnswerRs72,000
Incorrect AnswerRs60,000
Incorrect AnswerExplanation:
- The salaries of P and Q add up to Rs1,20,000.
- P saves 5% of his salary. Let P's salary be Rs\(x\). His savings: \(0.05x\).
- Q saves 15% of his salary. Let Q's salary be Rs\(1,20,000-x\). His savings: \(0.15(1,20,000-x)\).
- Savings of P and Q are equal:
\[0.05x = 0.15(1,20,000-x)\]
- Solving gives:
\[0.05x = 18,000 - 0.15x\]
\[0.2x = 18,000\]
\[x = 90,000\]
- P's salary is Rs90,000.
- Answer: Option 3 - Rs90,000
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