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ATQ, Interest from scheme P = 48000 × (1.252- 1) = 48000 × 0.5625 = 27000 Rs. Interest from scheme Q = 46656 - 27000 = 19656 Rs. 27000 × {(1 + a/100)3- 1} = 19656 (1 + a/100)3- 1 = 0.728 (1 + a/100)3 = 1.728 = 1.23 1 + a/100 = 1.2 a = 20% 1 root of equation = 1.3a - 2 = 1.3 × 20 - 2 = 26 - 2 = 24 Option I, Second root = 41 - 24 = 17, Product of Roots = 24 × 17 = 408 (Wrong) Option II, Second root = 51 - 24 = 27, Product of Roots = 24 × 27 = 648 (Wrong) Option III, Second root = 61 - 24 = 37, Product of Roots = 24 × 37 = 888 (Right) Option IV, Second root = 71 - 24 = 47, Product of Roots = 24 × 47 = 1128 (Wrong) Hence, the equation will be b2 - 61b + 888 = 0
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