➢Question:
A sum of Rs. 1000 is invested for 5 years at rate of 12% per annum. Find compound interest and due amount
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Question:-
A sum of Rs. 1000 is invested for 5 years at rate of 12% per annum. Find compound interest and due amount
Required Answer:-
Given:-
- Principal amount = Rs.1000
- Time = 5 years
- Rate of interest = 12%
- Compounded annually
To Find:-
- Compound interest
- Due amount
Solution:-
We know that:-
- A = P (1 + R/100)^T
Where,
- A = Amount
- P = Principal Amount
- R = Rate of interest.
- T = Time
We have,
- Principal amount P = Rs.1000
- Rate of interest R = 12%
- Timke T = 5 years
Substituting the values:-
- Amount A = 1000(1 + 12/100)^5
- → Amount A = 1000 (1 + 0.12)^5
- → Amount A = 1000 x (1.12)^5
- → Amount A = 1000 x 1.7623416832
- → Amount A = 1,762.3416832
- → Amount A = Rs.1,762.34
- Hence, the due amount is Rs.1,762.34
Again,
We know that:-
- CI = A - P
Where,
- CI = Compound Interest
- A = Amount
- P = Principal Amount
We have,
- Amount A = Rs. 1,762.34
- Principal amount P = Rs. 1000
Substituting the values:-
- Compound Interest CI = A - P
- → Compound Interest CI = 1,762.34 - 1000
- → Compound Interest CI = 762.34
- → Compound Interest CI = Rs.762.34
- Hence, compound interest is Rs.762.34
Final Answer:-
⋆ Therefore , the amount is Rs. 1762.34 and the compound interest is Rs. 762.34.
Answered by
1
Answer:
Rs 762.34 is your answer okay good morning
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