On what sum of money will the difference between the simple and compound interest for 2 years at the rate of interest of 5% per annum compounded annually be equal to 25?
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Let the principal be Rs. P
Given : R=5%,T=24 years
C.I. for 2 years =P(1+ 100/5)^2 −P
S.I. for 2 years = 100/P×5×2 = P/10
∵ Difference between C.I. and S.P. = Rs. 25
P(1+ 5/100 )^2 -P-P /10=25
441p/ 400-11p/ 10=25
441P−440P/ 400 =25
P=10,000
Hence, the principle should be Rs. 10,000
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