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Please its urgent.. A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest

Amount after 8 years=Rs.12005 Amount after 5 years=Rs.9800 Since amount after 8 years is P+(I for 8 years) and Amount after 5 years is P+(I for 5) years, Therefore Interest after 3 years:(Rs.12005-9800) =Rs.2205 Interest after 1 year=Rs.2205/3=Rs.735 Interest after 5 year=Rs.735*5=Rs.3675. Principal after 5 years=A-I=Rs.9800-Rs.3675=Rs.6125 So we get the information: Principal=Rs.6125 Time=5 years Interest=Rs.3675 Rate=100*SI/(P*T) =100*3675/(6125*5) =12 Therefore, rate of interest=12% Ans:The rate of interest is 12% (c).

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Principal = P Sum = P + P r t = P ( 1 + r * 5) = Rs 9, 800

Sum = P ( 1 + r 8 ) = Rs 12, 005

(1 + 8 r) / ( 1 + 5 r) = 12, 005 / 9, 800

9 800 ( 1 + 8 r) = 12, 005 ( 1 + 5 r)

9 800 + 8 * 9800 r = 12, 005 + 12, 005 * 5 * r

78, 400 r - 60, 025 r = 12, 005 - 9, 800 18, 375 r = 2, 205 r = 2205/ 18375 = 441 / 3675 = 147 / 1225 = 21 / 175 = 3 / 25 r = 0.12 or 12%