On what sum of money does the difference between the simple interest and compound interest in 2 years at 5% per annum is rs.15 ??
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S.I for 2 years = P*R*2/100
C.I for 2 years = P*[(1 + r/100)^2 - 1] = P(1 + 5/100)^2) - P = P(21/20)^2 - P
C.I - S.I for 2 years = 15
C.I - S.I = 441P/400 - P - 10P/100 = (441P - 400P - 40P)/400
15 = P/400
P= 400*15 = 6000 Rs.
Hence principal(sum of money) = Rs.6000
Hope this helps
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