Mr. Rehman is an Engineer in a cotton mills. He spends one third of his salary on personal affairs, then gives half of remaining amount to his wife for the household purpose and finally he invested 75% of final remaining amount for emergency situation. If he has 1000 in hand now, what is his total salary?
- 13,000
- 16,000
- 12,000
- 11,000
Explanation
Let total salary = S
1. Spends 1/3 on personal affairs → Remaining = (2/3)S
2. Gives half of remaining to wife → Remaining after this = (1/2) × (2/3)S = (1/3)S
3. Invests 75% of final remaining → Invested = 75% of (1/3)S = (3/4) × (1/3)S = (1/4)S
So final amount left after investing = Remaining - Invested = (1/3)S - (1/4)S = (4/12 - 3/12)S = (1/12)S
Given this final amount = 1000
So, (1/12)S = 1000
=> S = 1000 × 12 = 12,000
Related MCQs
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