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A company borrows 10000 on a condition to repay it with compound interest at 5% p.a. by annual installments of 1000 each. The number of years by which the debt will be clear is?
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A company borrows 10000 on a condition to repay it with compound inter...
Analysis:
The total amount borrowed is 10000 with a compound interest rate of 5% per annum. The company plans to repay the debt through annual installments of 1000 each.

Calculation:
1. The annual installment is 1000, and the interest rate is 5% per annum.
2. The interest for the first year would be 10000 * 5% = 500.
3. Subtracting the interest from the first installment gives us the principal repayment, which is 1000 - 500 = 500.
4. The remaining balance after the first installment would be 10000 - 500 = 9500.
5. For the second year, the interest would be 9500 * 5% = 475.
6. Subtracting the interest from the second installment gives us the principal repayment of 1000 - 475 = 525.
7. The remaining balance after the second installment would be 9500 - 525 = 8975.
8. This process continues until the debt is completely repaid.

Number of Years:
The number of years required to clear the debt can be calculated by dividing the total debt by the annual installment.
Number of years = Total Debt / Annual Installment
Number of years = 10000 / 1000 = 10 years
Therefore, it will take 10 years for the company to clear the debt with annual installments of 1000 each.
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A company borrows 10000 on a condition to repay it with compound interest at 5% p.a. by annual installments of 1000 each. The number of years by which the debt will be clear is?
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