A man spends 20% of his monthly salary on food and one-fourth of the remaining salary on charity. If he saves Rs9,600 per
month, which is equal to half of the balance after spending on food and charity, then his monthly salary is:
This questions was previously asked in
SSC CHSL 10th June 2022 Shift-1
Rs28,000
Incorrect AnswerRs26,000
Incorrect AnswerRs30,000
Incorrect AnswerExplanation:
- Let's define his monthly salary as Rs \( X \).
- He spends 20% of his salary on food. So, he spends \( 0.2X \) on food.
- Remaining salary after food = \( X - 0.2X = 0.8X \).
- He donates one-fourth of the remaining salary to charity: \( \frac{1}{4} \times 0.8X = 0.2X \) on charity.
- Remaining salary after charity = \( 0.8X - 0.2X = 0.6X \).
- He saves half of the balance after spending on food and charity: \( \frac{1}{2} \times 0.6X = 0.3X \).
- He saves Rs 9,600 per month: \( 0.3X = 9,600 \).
- Solving for \( X \), we get \( X = 9,600 \div 0.3 = 32,000 \).
Option 2: Rs 32,000 is correct.