If the principal is Rs 25000 and the rate is 4% per annum for 3 years, find the compound interest
Answers
Answer:
ci=p(1+r/100)n-P
ci=25000(1+4/100)3-250000
ci=25000(104/100)3-25000
ci=25000(1124864/1000000)-25000
ci=1.124864
Solution:-
━━━━━━━━━━━━━━━━━━━━━━━━━━
◍ Here, the question has given us the principal, rate of interest and time that is Rs 25,000, 4% per annum and for 3 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 25,000 for 3 years at 4% per annum will be Rs. 3,121.6.
GIVEN:-
☆ Principal = Rs. 25,000
☆ Rate of Interest = 4% per annum
☆ Time = 3 years
TO FIND:-
↠Compound Interest = ?
FORMULA:-
⬤ Amount = P [1 + (R / 100)]^t
⬤ Compound Interest = Amount - Principal
SOLVING BY APPLYING THE FORMULA:-
⇨ Principal = Rs. 25,000
⇨ Rate = 4%
⇨ Time = 3 years
⇨ Amount = P [1 + (R / 100)]^t
➢ Amount = 25,000 [1 + (4 / 100)]³
➢ Take LCM
➢ Amount = 25,000 (100 + 4 / 100)³
➢ Amount = 25,000 (104 / 100)³
➢ Amount = 25,000 (11,24,864 / 10,00,000)
➢ Amount = 25,000 × 11,24,864 / 10,00,000
➢ Cancle out the zeros
➢ Amount = 25 × 11,24,864 / 1,000
➢ Amount = 2,81,21,600 ÷ 1,000
➢ Amount = 2,81,21,600 ÷ 1,000 = 28,121.6
➢ Amount = Rs. 28,121.6
Amount is Rs. 28,121.6.
⇨ Compound Interest = Amount - Principal
➢ Compound Interest = 28,121.6 - 25,000
➢ Compound Interest = 28.121.6 - 25,000 = 3,121.6
➢ Compound Interest = Rs. 3,121.6
Compound interest after 3 years will be Rs. 3,121.6.
Hence, we got the answer. The intrest compounded after 3 years will be Rs. 3,121.6.
━━━━━━━━━━━━━━━━━━━━━━━━━━