Find the amount and the compound interest on ₹16,000 for 3 years at 5% per annum compounded annually.
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2
Find the amount and the compound interest on ₹16,000 for 3 years at 5% per annum compounded annually.
Principal = (P) = ₹16, 000
Time = (t) = 3 years
Rate = (r) = 5%
Amount = Principal × (1 + (r/2 × 100)) n × 2
= ₹ 16,000 × (1+ (5/200)) 3 × 2
= ₹16,000 × (205/200)6
= ₹ 16,000 × 41/40 × 41/40 × 41/40 × 41/40 × 41/40 × 41/40
= ₹ 18,555
C.I. = Amount – Principal
= ₹ 18,555 - ₹ 16,000
₹ 2555
Answered by
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Answer:
For 1st year Principal (P)=Rs.16000, Rate (R)=5% Time (T)=1 year
∴ Interest= 16000×5×1
100
=160×5
=Rs.800
∴ Amount at the end of firstyear=
Rs16000+800=Rs.16800
For 2nd year Principal (P)=Rs.16800, Rate (R)=5% Time (T)=1 year
∴ Interest= 16800×5×1
100
=168×5
=Rs.840
∴ Amount at the end of second year=
Rs16800+840=Rs.17640
For 3rd year Principal (P)=Rs.17640, Rate (R)=5% Time (T)=1 year
∴ Interest=17640×5×1
100
=1764
2
=Rs.882
∴ Amount at the end of third year=Rs.17640+882=Rs.18522
Hence required amount=Rs.18522
Explanation:
here is your answer ☺️.
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