Kapil deposits some amount in a bank for 7.5 years at the rate of 6% p...
Calculation of Initial Deposit
Given
- Time period = 7.5 years
- Rate of interest = 6% p.a.
- Amount received at the end of term = Rs. 1,01,500
Formula
Compound Interest = P[(1 + R/n)^(n*t)] - P
where P = Principal amount, R = Rate of interest, t = Time period, n = Number of times interest is compounded in a year
Solution
Let the initial deposit be P.
Since the interest is compounded annually, we have n = 1 and t = 7.5 years.
Using the formula for compound interest, we get:
1,01,500 = P[(1 + 6/100/1)^(1*7.5)]
1,01,500 = P[(1.06)^7.5]
P = 1,01,500 / (1.06)^7.5
P = Rs. 60,000 (approx)
Explanation
The initial deposit is the amount that Kapil deposited in the bank in order to receive Rs. 1,01,500 at the end of 7.5 years. To calculate the initial deposit, we can use the formula for compound interest. We know the time period, rate of interest, and the amount received at the end of the term. By substituting these values in the formula, we can calculate the initial deposit. This calculation assumes that the interest is compounded annually.