10% = 1/10
C.I = (X - 400) * (11T - 10T)/ 10T [11 = sum of fraction 1/10 and T = Time]
924 = (X - 400) * (112 - 102)/ 102
924 = (X - 400) * 21/100
X - 400 = 924 * 100/ 21
X = 4400 + 400 = Rs. 4800
40% = 2/5
C.I = X * (7T - 5T)/5T [7 = sum of fraction 2/5 and T = Time]
= 4800 * (73 - 53)/ 53
= 4800 * 218/125
= Rs. 8371.2
S.I = P * R * T/100
8371.2 = (4800 + 1740) * 16 * T/100
T = 8371.2 * 100/ (16 * 6540)
= 8 years
1) T = 8, even number [True]
2) X/ 12 = 4800/12 = 400, multiple of 12 [True]
3) X/8 - 5T2 = 4800/8 - 5 * 82 = 600 - 320 = 280 [False]
Hence, Only III is false.
Study Notes
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