What sum will amount to Rs. 4000 in 3 year at 6% p.a. compound interest?
Answers
Answer:So, the sum of money that will produce Rs.6912 in 3 years at 20% p.a of compound interest is Rs.4000.
Step-by-step explanation:
Given : Sum will amount to Rs. 4000 in 3 years at 6% p.a. compound interest.
To find : The sum of money.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the sum of money)
Let, the sum of money = Rs. x
Now, we know that,
A = P × [1 + (r/100)]ⁿ
Where,
- A = Total amount = Principal amount + Compound interest
- P = Principal amount
- n = number of years
- r = rate of interest p.a.
In this case,
- A = Rs. 4000
- P = Rs. x
- n = 3
- r = 6%
By putting the available data in the above mentioned mathematical formula, we get :
4000 = x × [1 + (6/100)]³
4000 = x × [1 + (3/50)]³
4000 = x × (53/50)³
x = 4000 × (50/53)³
x = 3358.47 (approx.)
So, the sum of money = Rs. x = Rs. 3358.47
(This will be considered as the final result.)
Hence, sum of money is Rs. 3358.47