At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years?
papay dey Answered question February 15, 2025
Compound Interest (CI) formula:
CI = P × (1 + R/100)^Time – P
Given values:
P = Rs. 1200
Time = 2 years
Amount after 2 years = Rs. 1348.32CI = 1348.32 – 1200
= 148.32Now, use the CI formula to solve for R:
148.32 = 1200 × (1 + R/100)^2 – 1200
Rearrange the equation:
(1 + R/100)^2 = (1348.32) / 1200
(1 + R/100)^2 = 1.124Take the square root of both sides:
1 + R/100 = √1.124
1 + R/100 ≈ 1.06Solve for R:
R/100 = 1.06 – 1
R/100 = 0.06
R ≈ 6The rate of compound interest per annum is approximately 6%.
papay dey Answered question February 15, 2025