Amount = [8000 * (1 + 5/100)2] = 8000 * 21/20 * 21/20 = Rs. 8820
Amount = [25000 * (1 + 12/100)3]= 25000 * 28/25 * 28/25 * 28/25 = Rs. 35123.20C.I. = (35123.20 - 25000) = Rs. 10123.20
P = Rs. 15000; R = 10% p.a. = 5% per half-year; T = 1 year = 2 half-year Amount = [15000 * (1 + 5/100)2]= (15000 * 21/20 * 21/20) = Rs. 16537.50
Amount = [200(1 + 5/100)3 + 200(1 + 5/100)2 + 200(1 + 5/100)]= [200 * 21/20(21/20 * 21/20 + 21/20 + 1)] = Rs. 662.02
Amount = [1600 * (1 + 5/(2 * 100)2 + 1600 * (1 + 5/(2 * 100)]= [1600 * 41/40(41/40 + 1) = [(1600 * 41 * 81)/(40 * 40)] = Rs. 3321.C.I. = 3321 - 3200 = Rs. 121.
Let P = Rs. 100. Then, S.I. Rs. 60 and T = 6 years. R = (100 * 60)/(100 * 6) = 10% p.a. Now, P = Rs. 12000, T = 3 years and R = 10% p.a. C.I. = [12000 * {(1 + 10/100)3 - 1}] = 12000 * 331/1000 = Rs. 3972
Difference in C.I. and S.I for 2 years = (696.30 - 660) = Rs. 36.30. S.I for one year = Rs. 330. S.I. on Rs. 330 for 1 year = Rs. 36.30 Rate = (100 * 36.30)/(330 * 1) = 11%
Amount of Rs. 100 for 1 year when compounded half-yearly = [100 * (1 + 3/100)2] = Rs. 106.09
Effective rate = (106.09 - 100) = 6.09%
Let the sum be Rs. x. Then, [x (1 + 4/100)2 - x] = (676/625 x - x) = 51/625 xS.I. = (x * 4 * 2)/100 = 2x/2551x/625 - 2x/25 = 1 or x = 625.
S.I. on Rs. 800 for 1 year = (840 - 800) = Rs. 40
Rate = (100 * 40)/(800 * 1) = 5%