Final answer:
To find the interest on a Rs. 90,000 note at 8% compounded quarterly for 9.5 years, use the compound interest formula A = P (1 + r/n)^(nt), where A is the accumulated amount, P is the principal, r is the annual rate, n is the number of compounds per year, and t is time. Subtract P from A to obtain the interest. Perform the calculation to determine the total interest earned.
The correct answer is A.
Step-by-step explanation:
To calculate the amount of interest earned on a note with a face value of Rs. 90,000 at 8% compounded quarterly over 9.5 years, we will use the formula for compound interest: A = P (1 + r/n)^(nt) , where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.
In this case, P = Rs. 90,000, r = 8/100 = 0.08, n = 4 (since the interest is compounded quarterly), and t = 9.5 years. We first calculate the compound amount (A) and then subtract the principal (P) from it to find the total interest earned. The formula becomes:
A = 90000 (1 + 0.08/4)^(4*9.5)
After calculating A, we subtract the principal: Interest = A - P.
If we perform the calculations, we can find the total interest earned over the 9.5 years and choose the correct option from the given answers.