In how much time would the simple interest on a certain sum be 0.125 times the principle at 10% per annum?

I = Po*r*t = 0.125Po.

Po*0.1*t = 0.125Po.
t = 1.25 yrs. = 15 Months.

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Use the formula given here. Plug in what you know and then solve for T. Do this for all your questions, solving for whatever you don't know.

To find the time it would take for the simple interest on a certain sum to be 0.125 times the principal at 10% per annum, we can use the formula for simple interest:

Simple Interest (SI) = (Principal * Rate * Time) / 100

We are given the following information:
Rate = 10% = 10/100 = 0.1
Simple Interest (SI) = 0.125 times the principal = 0.125 * Principal

Let's substitute these values into the formula and solve for Time:

0.125 * Principal = (Principal * 0.1 * Time) / 100

To simplify the equation, let's cancel out the Principal on both sides:

0.125 = (0.1 * Time) / 100

Now, cross-multiply to get rid of the fraction:

0.125 * 100 = 0.1 * Time

12.5 = 0.1 * Time

Finally, divide both sides of the equation by 0.1 to isolate Time:

Time = 12.5 / 0.1

Time = 125

Therefore, it would take 125 years for the simple interest on a certain sum to be 0.125 times the principal at a rate of 10% per annum.