(800*3*3)/100 = 72
920 + 72 = 992
90 = (450*4*R)/100
R = 5%
I = (450*6*5)/100 = 135
450 + 135 = 585
C.I. when interest is compounded yearly = [5000 * (1 + 4/100) * (1 + (1/2 * 4)/100] = 5000 * 26/25 * 51/50 = Rs. 5304 C.I. when interest is compounded half-yearly = [5000 * (1 + 2/100)2] = (5000 * 51/50 * 51/50 * 51/50) = Rs. 5306.04
Difference = (5306.04 - 5304) = Rs. 2.04.
P = Rs. 15625, n = 9 months = 3 quarters, R = 16% p.a. per quarter. Amount = [15625 * (1 + 4/100)3] = (15625 * 26/25 * 26/25 * 26/25) = Rs. 17576
C.I. = 17576 - 15625 = Rs. 1951.
S.I. = (1200 * 10 * 1)/100 = Rs. 120 C.I. = [1200 * (1 + 5/100)2 - 1200] = Rs. 123
Difference = (123 - 120) = Rs. 3.
Sum = (50 * 100) / (2 * 5) = Rs. 500 Amount = [500 * (1 + 5/100)2] = Rs. 551.25 C.I. = (551.25 - 500) = Rs. 51.25.
S.I. = (1000 * 10 * 4)/100 = Rs. 400 C.I. = [1000 * (1 + 10/100)4 - 1000] = Rs. 464.10
Difference = (464.10 - 400) = Rs. 64.10
Amount = (30000 + 4347) = Rs. 34347 Let the time be n years. Then, 30000(1 + 7/100)n = 34347 = (107/100)n = 34347/30000 = (107/100)2 n = 2 years.
Let the sum be Rs. P. Then, [P(1 + 25/(2 * 100))2 - P] = 510 P[(9/8)2 - 1] = 510. Sum = Rs. 1920So, S.I. = (1920 * 25 * 2) / (2 * 100) = Rs. 480
Principal = [4913 / (1 + 25/(4 * 100))3] = 4913 * 16/17 * 16/17 * 16/17 = Rs. 4096.