Final answer:
Without the principal amount, we cannot directly calculate the simple interest from the compound interest provided. The formula for calculating simple interest is S.I. = P × r × t. However, more information is necessary to provide the answer.
Step-by-step explanation:
The student has asked how to calculate the simple interest on a sum of money for 3 years at 6% per annum, given that the compound interest on the same sum at 5% per annum for 2 years is Rs 246.
To solve this, we need to know the principal amount (the initial sum of money). Since we are not given the principal directly, we can use the formula for compound interest C = P(1 + r/n)nt - P, where P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time the money is invested in years. However, since we do not have enough information to find the principal amount using the compound interest formula, we cannot directly calculate the simple interest.
We would then calculate simple interest using the formula S.I. = P × r × t, where P is the principal, r is the annual interest rate (in decimal), and t is the time in years. With the principal known, the simple interest for 3 years at 6% would be calculated and expressed in rupees.
The complete question is: Compound interest on a certain sum of money at 5% p. a. for 2 years is Rs 246. Calculate simple interest on the same sum for 3 years at 6% per annum.