Banker's Discount

Q 9: The banker’s gain of a certain sum due 2 years hence at 5% per annum is Rs. 70. The present worth is ? A)Rs. 600 B)Rs. 750 C)Rs. 680 D)Rs. 700 Answer : Option D Explanation: T.D. = (B.G. x 100) / (Rate x Time) = Rs. (70 x 100) / (5 x 2) = Rs. 700 Q 10: The banker's discount of a certain sum of money is Rs. 60 and the true discount on the same sum for the same time is Rs. 50. The sum due is: A)Rs. 320 B)Rs. 300 C)Rs. 200 D)Rs. 350 Answer : Option B Explanation: Sum =(B.D. x T.D.)/(B.D. - T.D.) = Rs.(60 x 50)/(60 - 50) = Rs.(60 x 50)/10 = Rs. 300. Q 11: If the true discount on a certain sum due 6 months hence at 15% is Rs. 120, then banker's discount on the same for the same time and at the same rate will be A)Rs. 129 B)Rs. 209 C)Rs. 122 D)Rs. 128 Answer : Option A Explanation: B.G. = S.I. on T.D. =Rs.[120 x 15 x (1/2) x (1/100)]=Rs. 9 (B.D.) - (T.D.) = Rs. 9 B.D. = Rs. (120 + 9) = Rs. 129 Q 12: The present worth of a certain due sometime hence is Rs. 8000 and the true discount is Rs. 400. The banker’s gain is ? A)Rs. 28 B)Rs. 22 C)Rs. 20 D)Rs. 30 Answer : Option C Explanation: B.G. = (T.D.)2 / P.W. = Rs. (400 x 400) / 8000 = Rs. 20

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