Final answer:
To find the sum of the amounts of money in 5 years and 8 years, we can use the concept of simple interest. By calculating the interest rate and using the simple interest formula, we can determine the principal amount. Adding the principal to the final amount after 8 years will give us the sum of the amounts.
Step-by-step explanation:
To find the sum of the amounts of money in 5 years and 8 years, we can use the concept of simple interest. Simple interest is calculated using the formula A = P(1 + rt), where A is the final amount, P is the principal (initial amount), r is the interest rate, and t is the time period in years.
First, let's calculate the interest rate. Since we have the amounts for 5 years (Rs 7500) and 8 years (Rs 9000), we can set up the following equation: Rs 9000 = Rs 7500(1 + r(8-5)). Solving for r, we find that r = 0.02 (or 2%).
Now, we can use this interest rate to calculate the principal amount. Setting up the equation for 5 years: Rs 7500 = P(1 + 0.02(5)). Solving for P, we find that P = Rs 7142.86.
Finally, to find the sum of the amounts, we add the principal of Rs 7142.86 to the final amount after 8 years of Rs 9000. Therefore, the sum is Rs 16,142.86.