Simple interest on a sum is 25% of the principal and the number of years is equal to rate percent per annum. Find the rate of interest.25%5%7.5%7%
Question
Simple interest on a sum is 25% of the principal and the number of years is equal to rate percent per annum. Find the rate of interest.25%5%7.5%7%
Solution
The formula for simple interest is I = PRT/100, where I is the interest, P is the principal, R is the rate of interest, and T is the time in years.
Given that the interest is 25% of the principal, we can write this as I = 25P/100.
We are also given that the number of years is equal to the rate percent per annum, so T = R.
Substituting these values into the formula, we get:
25P/100 = PR^2/100.
Solving for R, we get R^2 = 25, so R = 5 or R = -5.
Since the rate of interest cannot be negative, the rate of interest is 5%.
So, the correct answer is 5%.
Similar Questions
Ratio of principal and the amount after 2 years is 20: 30. Find the rate of simple interest per year.25 %20 %15 %12.5 %
A sum invested on simple interest grows to Rs 22500/- and Rs 25500/- is seven and nine years respectively. What is the rate percentage of the interest ?
A sum of Rs.2000 gives a simple interest of Rs.100 in 2 years. Find the rate of interest per annum ?5/4%5/6%5/2%5/8%
If simple interest on a certain sum of money at the rate of 7% per annum for 5 years is ₹ 2925 less than its principal, then find the interest.₹ 1575₹ 4500₹ 1260₹ 3950
Simple interest on sum of money ios 36/81 of the principal and no of years is equal to the rate of interest. Find the rate of interest per annum.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.