kamala borrowed ₹ 36 400 from a bank to buy a scooter at a rate of 15% p.a compouded yearly what amount will she pay at the end of 2 years and 4 months to clear the loan
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Answer:
Amount = ₹ 50545.95
Step-by-step explanation:
P = ₹ 36 400
Rate of Interest = 15%
Time = 2 years 4 months = 2 1/3 years
First compound interest for 2 years
Time = 2 years
A = P ( 1 + R/100 )^n
= 36400 ( 1 + 15/100)^2
= 36400 ( 115/100 )^2
= 36400 * 13225/10000
= 4813900/100 = 48139
Amount of 2 years = ₹ 48139
Compound Interest = Amount - Principal = 48139 - 36400 = ₹ 11739
Simple Interest for 1/3 years
Principal = Amount of 2 years = ₹ 48139
Time = 1/3 years
Interest = PRT/100 = 48139*15*1/300 = ₹ 2406.95
Simple Interest for 1/3 years = ₹ 2406.95
Total Interest for 2 1/3 years = Compound Interest for 2 years + Simple Interest for 1/3 years = ₹ 11739 + ₹ 2406.95 = ₹ 14145.95
Amount = Principal + Interest = 36400 + 14145.95 = ₹ 50545.95
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