Question
On a certain sum, the simple interest for 2 years at 10%
per annum is Rs 1000. Find the difference between the compound interest and simple interest on the same sum, at the same rate and for the same period.Solution
Let principal = P. SI for 2 years = (P Γ 10 Γ 2)/100 = (P/5) Given P/5 = 1000 β P = 5000 Difference (CI β SI) for 2 years at rate r% is: P Γ (r/100)Β² Here r = 10% β r/100 = 0.10 Difference = 5000 Γ (0.10)Β² = 5000 Γ 0.01 = Rs 50.
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