At what rate er cent per annum compound interest will rupees 6250 amou...
Solution:
Given:
- Principal amount (P) = Rs. 6250
- Amount (A) = Rs. 7290
- Time (t) = 2 years
Formula Used:
The formula used to calculate compound interest is:
A = P(1 + r/100)^t
Where,
A = Amount
P = Principal amount
r = Rate of interest
t = Time period
Calculation:
Substituting the given values in the above formula, we get:
7290 = 6250(1 + r/100)^2
Taking square root on both sides, we get:
√(7290/6250) = 1 + r/100
r/100 = √(7290/6250) - 1
r/100 = 0.08
r = 8%
Therefore, the rate of interest per annum is 8%.
Explanation:
- The question is about finding the rate of interest per annum at which a sum of Rs. 6250 will amount to Rs. 7290 in 2 years.
- The formula used to calculate compound interest is A = P(1 + r/100)^t, where A is the amount, P is the principal amount, r is the rate of interest per annum, and t is the time period.
- Substituting the given values in the formula, we get an equation in terms of the rate of interest.
- Solving the equation, we get the rate of interest per annum as 8%.
- Therefore, the answer to the question is that the rate of interest per annum is 8%.