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After deducting 20% from a certain sum, and then 10% from the remainder, there is Rs. 7,200 left. Find the original sum.
Rs. 9,000
Rs. 10,000
Rs. 7,500
Rs. 7,800
- Let's call the original sum "X".
- After deducting 20%, 80% of X remains: 0.80×X.
- Then, 10% is deducted from that remainder, leaving 90% of the remainder: 0.90×(0.80×X).
- This accounts for the final amount of Rs. 7,200.
- Setting up the equation, 0.90×0.80×X=7,200.
- Simplifying, 0.72×X=7,200.
- Solving for X: X=7,2000.72=10,000.
- Option 1: Rs. 9,000 is too low.
- Option 2: Rs. 10,000 is the correct choice.
- Option 3: Rs. 7,500 is too low.
- Option 4: Rs. 7,800 is too low.
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