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A man borrowed some money and returned it in two equal instalments of Rs3,025 each. If the rate of interest is 10% per annum,
compound annually, find the sum borrowed.
Rs5,575
Rs6,250
Rs5,250
Rs6,525
- He borrowed a sum and repaid it in two instalments, with each instalment amounting to Rs3,025.
- The interest rate involved is 10% per annum, compounded annually.
- To determine the borrowed amount, consider that the borrowed sum will appreciate at an annual rate of 10% before each instalment reduces it.
- To solve: Suppose the sum borrowed is 'P'. After one year with interest, the sum becomes P x (1 + 0.10).
- Upon paying the first instalment of Rs3,025, the remaining amount will appreciate again at the rate of 10%, and he pays the second instalment to settle the entire debt.
- Calculations should reveal the correct borrowed sum.
The correct option is:
Option 1: Rs5,575
.
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