Nithin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is 8,160, the money borrowed by him was?

Let's solve the problem step by step:

Step 1: Calculate the interest for the first three years at a rate of 6% per annum. Interest for the first three years = Principal * Rate * Time Let's assume the principal borrowed for the first three years is P1. Interest for the first three years = P1 * 6% * 3 years

Step 2: Calculate the interest for the next five years at a rate of 9% per annum. Interest for the next five years = Principal * Rate * Time Let's assume the principal borrowed for the next five years is P2. Interest for the next five years = P2 * 9% * 5 years

Step 3: Calculate the interest for the period beyond eight years at a rate of 13% per annum. Interest for the period beyond eight years = Principal * Rate * Time Let's assume the principal borrowed for the period beyond eight years is P3. Interest for the period beyond eight years = P3 * 13% * (11 - 8) years

Step 4: Calculate the total interest paid by Nithin at the end of eleven years. Total interest paid = Interest for the first three years + Interest for the next five years + Interest for the period beyond eight years Total interest paid = P1 * 6% * 3 years + P2 * 9% * 5 years + P3 * 13% * (11 - 8) years

Step 5: Set up the equation using the given information. Total interest paid = 8,160

Step 6: Solve the equation to find the principal borrowed by Nithin. P1 * 6% * 3 years + P2 * 9% * 5 years + P3 * 13% * (11 - 8) years = 8,160

By solving this equation, you can find the value of the principal borrowed by Nithin.