Banker Discount

Q 1: The banker's gain of a certain sum due 4 years hence at 10% per annum is Rs. 24. The present worth is: A)Rs.155 B)Rs.140 C)Rs.150 D)Rs.145 Answer : Option C Explanation: T.D=(B.G x 100)/(Rate x Time) Rs.(24 x 100)/(10 x 4)=Rs. 60 present worth=(100 x T.D)/(Rate x Time)=Rs.(100 x 60)/(10 x 4) =Rs.150 Q 2: The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is: A)Rs. 100 B)Rs. 115 C)Rs. 108 D)Rs. 103 Answer : Option C Explanation: P.W. = Rs. (540 - 90) = Rs. 450. S.I. on Rs. 450=Rs. 90 S.I. on Rs. 540=Rs.(90 x 540)/450=Rs. 108 B.D. = Rs. 108. Q 3: The banker's gain on a bill due 1 year hence at 10% per annum is Rs. 30. What is the true discount? A)Rs. 300 B)Rs. 200 C)Rs. 280 D)None of these Answer : Option A Explanation: TD = (BG × 100)/TR =(30 x 100)/(1 x 10)=Rs. 300 Q 4: The B.D. and T.D. on a certain sum is Rs.400 and Rs.200 respectively. Find out the sum. A) Rs. 440 B) Rs. 400 C) Rs. 300 D) Rs. 380 Answer : Option B Explanation: F = (BD × TD)/(BD – TD)=(400×200)/(400−200) =(400×200)/200 = Rs. 400

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