Calculate the amount and the compound interest on rs 8000 for 2 years 9 months at 10% per annum, compounded annually.
Answers
Answer:
1. 1600 rs for 2 years interest
Step-by-step explanation:
2.600 interest for 9 months
Given : rupees 8000 on 2 years 9 months @ 10% per annum compounded annually
To find : amount and compound interest
Solution:
P = 8000
R = 10 % per annum
T or n = 2 Years 9 Months
1st we will find amount after 2 years using CI formula
A = P (1 + R/100)ⁿ
A = 8000 ( 1 + 10/100)²
=> A = 8000 ( 1.1)²
=> A = 9680 Rs
Now we will calculate simple interest for 9 months
SI = P * R * T /100
P = 9680
R = 10 %
T = 9 months = 9/12 years = 3/4 years
SI = 9680 * 10 * (3/4)/100 = Rs 726
Final amount = 9680 + 726 = Rs 10406
Interest = 10406 - 8000 = Rs 2406
Amount = Rs 10406
CI = Rs 2406
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