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Ramya lent a certain sum of money at 4% simple interest to Seema and in 8 years the interest amounted to Rs3,400 less than
the sum lent. Find the sum lent by Ramya to Seema.
Rs3,050
Rs6,100
Rs8,200
Rs5,000
- To determine the sum lent, we use the formula for simple interest: Interest=Principal×Rate×Time.
- Here, the interest is Rs3,400 less than the principal: Principal×4%×8=Principal−3400.
- Simplified: 0.32×Principal=Principal−3400.
- Solving, we find Principal=34000.68=5000.
- Option 1: Rs3,050 - Too low, as it would require an error in interest calculations.
- Option 2: Rs6,100 - Higher than needed to match the interest discrepancy.
- Option 3: Rs8,200 - Unnecessary, would yield a larger gap.
- Option 4: Rs5,000 - Correct as calculated above.
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