*What is the compound interest on Rs. 200 for 1 year at 10% rate compounded half-yearly*
1️⃣ Rs.200
2️⃣ Rs.220.50
3️⃣ Rs. 320.50
4️⃣ Rs. 100.50
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Given : Rs. 200 for 1 year at 10% rate compounded half-yearly
To Find : compound interest
Solution:
P = 200
R = 10 % per annum = 5 % half yearly
n = 1 year = 2 Half years
A = P(1 + R/100)ⁿ
Compound interest = A - P
A = 200(1 + 5/100)²
=> A = 200(21/20)²
=> A = 200 * 441 /400
=> A = 220.5
compounded interest = 220.5 - 200 Rs 20.5
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