The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:
papay dey Answered question 7 days ago
Compound Interest (CI) formula:
CI = P × (1 + R/100)^Time – P
Given values:
P = Rs. 30,000
CI = Rs. 4347
R = 7% per annum
Rearrange the CI formula to solve for Time:
(1 + R/100)^Time = (CI + P) / P
(1 + 7/100)^Time = (4347 + 30000) / 30000
(1.07)^Time = 34347 / 30000
(1.07)^Time = 1.1449
Now, take the logarithm (base 10) of both sides:
Time × log(1.07) = log(1.1449)
Time = log(1.1449) / log(1.07)
Time ≈ 2
The period is approximately 2 years.
papay dey Answered question 7 days ago