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On compound interest, Rs. 2,000 amounts to Rs. 2,226.05 in 2 years. What is the rate of interest per annum ?

Solution

Correct Option: 2

A=P(1+r/100)nA = P(1 + r/100)^n, so 2226.05=2000(1+r/100)22226.05 = 2000(1 + r/100)^2.

(1+r/100)2=1.113025(1 + r/100)^2 = 1.113025, so 1+r/100=1.0551 + r/100 = 1.055.

Therefore r=5.5%r = 5.5\%.

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