Find the compound interest on 3 3000 for 2 years at 4% per annum
Answers
Answer:
= [ p ( 1 + i)n] -p
= p [ 1+ i)n-1]
p= principal, i= nominal annual interest rate in percentage terms, n = num of compounding periods.
=33000 [ 1 + 0.04)³-1]
= 33000[ 1.124864-1] = answer.)
Solution:-
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◍ Here, the question has given us the principal, rate of interest and time that is Rs. 33,000, 4% per annum and for 2 years respectively. Now, the question has asked us to find the compound intrest of it. So to get the answer we need to apply the formula of Amount first and then subtracting Principal from the amount will be the Compound interest.
ANSWER:-
◈ The Compound interest on Rs 33,000 for 2 years at 4% per annum will be Rs. 2,692.8.
GIVEN:-
☆ Principal = Rs. 33,000
☆ Rate of Interest = 4% per annum
☆ Time = 2 years
TO FIND:-
↠Compound Interest = ?
FORMULA:-
⬤ Amount = P [1 + (R / 100)]^t
⬤ Compound Interest = Amount - Principal
SOLVING BY APPLYING THE FORMULA:-
⇨ Principal = Rs. 33,000
⇨ Rate = 4%
⇨ Time = 2 years
⇨ Amount = P [1 + (R / 100)]^t
➢ Amount = 33,000 [1 + (4 / 100)]²
➢ Take LCM
➢ Amount = 33,000 (100 + 4 / 100)²
➢ Amount = 33,000 (104 / 100)²
➢ Amount = 33,000 (10,816 / 10,000)
➢ Amount = 33,000 × 10,816 / 10,000
➢ Cancel out the zeros
➢ Amount = 33 × 10,816 / 10
➢ Amount = 3,56,928 ÷ 10
➢ Amount = 3,56,928 ÷ 10 = 35,692.8
➢ Amount = Rs. 35,692.8
Amount is Rs. 35,692.8.
⇨ Compound Interest = Amount - Principal
➢ Compound Interest = 35,692.8 - 33,000
➢ Compound Interest = 35,692.8 - 33,000 = 2,692.8
➢ Compound Interest = Rs. 2,692.8
Compound interest after 2 years will be Rs. 2,692.8.
Hence, we got the answer. The interest compounded after 2 years will be Rs. 2,692.8.
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