The difference between simple interest and compound interest on a certain sum is rs 54.40 for 2 years at 8 percent per annum.find the sum
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Answered by
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S.I for 2 years = P*R*T/100 = P*8*2/100 = 4*P/25
C.I for 2 years = P*(1 + R/100)^n - P
= P*(1 + 8/100)^2 - P
=P*(1 + 2/25)^2 - P = P*(27/25)^2 - P = 729*P/625-P
C.I - S.I = 54.40
54.40 = 729*P/625 - P - 4*P/25
54.40 = 729*P - 625*P-4*25*P/625
625*54.40 = P(729-625-100)
625*54.40 = P* 4
P = 8,500
Hope it helps.
C.I for 2 years = P*(1 + R/100)^n - P
= P*(1 + 8/100)^2 - P
=P*(1 + 2/25)^2 - P = P*(27/25)^2 - P = 729*P/625-P
C.I - S.I = 54.40
54.40 = 729*P/625 - P - 4*P/25
54.40 = 729*P - 625*P-4*25*P/625
625*54.40 = P(729-625-100)
625*54.40 = P* 4
P = 8,500
Hope it helps.
Answered by
27
Step-by-step explanation:
Hope It helps Si-Ci = 54.40.
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