A man borrowed 3125 for C.I. which amounted to4500 in 2 years. What was the rate of interest per annum?(A) 30% (B) 25% (C) 20% (D) 15%
Question
A man borrowed 3125 for C.I. which amounted to4500 in 2 years. What was the rate of interest per annum?(A) 30% (B) 25% (C) 20% (D) 15%
Solution
To find the rate of interest per annum, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where: A = Final amount (4500) P = Principal amount (3125) r = Rate of interest per annum (unknown) n = Number of times interest is compounded per year (assuming it is compounded annually, n = 1) t = Time in years (2)
Substituting the given values into the formula, we have:
4500 = 3125(1 + r/1)^(1*2)
Simplifying the equation:
4500 = 3125(1 + r)^2
Dividing both sides by 3125:
4500/3125 = (1 + r)^2
1.44 = (1 + r)^2
Taking the square root of both sides:
√1.44 = 1 + r
1.2 = 1 + r
Subtracting 1 from both sides:
0.2 = r
Therefore, the rate of interest per annum is 20%.
So, the correct answer is (C) 20%.
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