Final answer:
By using the simple interest formula, we can calculate that the time taken for a principal of Rs. 6000 to grow to a total amount of Rs. 9000 at a rate of 10% per annum is 5 years.
Step-by-step explanation:
To find the time it takes for a principal of Rs. 6000 to grow to a total amount of Rs. 9000 at a rate of 10% per annum, we can use the simple interest formula: Total Amount = Principal + (Principal × Rate × Time). Given that the Total Amount is Rs. 9000 and the Principal is Rs. 6000, and the Rate is 10%, or 0.10 when expressed as a decimal, we can set up the equation as follows:
9000 = 6000 + (6000 × 0.10 × Time)
After simplifting the equation, we get:
3000 = 6000 × 0.10 × Time
To isolate the Time variable, we divide by 600 and the rate:
Time = 3000 / (6000 × 0.10)
Time = 3000 / 600
Time = 5 years
So, the time taken for the amount to grow from Rs. 6000 to Rs. 9000 at a 10% per annum interest rate is 5 years.