P = Po + Po*r*t = $1748.
Po + Po*0.075*2.5 = 1748
Po + 0.1875Po = 1748Po
Po = $1472 = Initial amount.
Po + Po*0.075*2.5 = 1748
Po + 0.1875Po = 1748Po
Po = $1472 = Initial amount.
Simple Interest = (Principal * Rate * Time) / 100
In this case, the principal (sum) is what we need to find. The rate is 15/2% per annum, which can be converted to a decimal by dividing by 100: 15/2 / 100 = 15/200 = 0.075. The time is 5/2 years.
Let's substitute these values into the formula and solve for the principal:
1748 = (Principal * 0.075 * 5/2) / 100
To get rid of the fractions, we can simplify the equation:
1748 = (Principal * 0.0375) / 100
Now we can solve for the principal by multiplying both sides of the equation by 100 and dividing by 0.0375:
1748 * 100 / 0.0375 = Principal
Simplifying the calculation:
466133.33 = Principal
Therefore, the sum that will amount to Rs 1748 in 5/2 years at 15/2% per annum simple interest is approximately Rs 466133.33.