In what time will ₹800 triple, if sum at \( 10 \% \) p.a. with simple interest

To find out how long it will take for ₹800 to triple at a simple interest rate of 10% per annum, we can use the formula for simple interest: \[ A = P + SI \] Where: - \( A \) is the total amount after time \( t \), - \( P \) is the principal amount (initial investment), - \( SI \) is the simple interest. The simple interest can be calculated using the formula: \[ SI = \frac{P \times r \times t}{100} \] Where: - \( r \) is the rate of interest, - \( t \) is the time in years. In this case, we want the amount \( A \) to be three times the principal \( P \): \[ A = 3 \times 800 = 2400 \] Now, substituting into the formula: \[ 2400 = 800 + \frac{800 \times 10 \times t}{100} \] Simplifying the equation: \[ 2400 = 800 + 80t \] Subtracting 800 from both sides: \[ 2400 - 800 = 80t \] \[ 1600 = 80t \] Now, dividing both sides by 80: \[ t = \frac{1600}{80} = 20 \] Thus, it will take **20 years** for ₹800 to triple at a simple interest rate of 10% per annum.