Aptitude - Bankers Discount
1.
The present worth of a sum due sometime hence is Rs. 576 and the banker's gain is Rs. 16. The true discount is :
Answer
T.D. = √ P.W. x B.G. = √ 576 x 16 = 96
Answer :
Option DExplanation :
T.D. = √ P.W. x B.G. = √ 576 x 16 = 96
2.
The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is :
Answer
P.W. = Rs. (540 − 90) = Rs. 450
∴ S.I. on Rs. 450 = Rs. 90
S.I. on Rs. 540 = Rs. 90 x 540450 = Rs. 108
∴ B.D. = Rs. 108
Answer :
Option BExplanation :
P.W. = Rs. (540 − 90) = Rs. 450
∴ S.I. on Rs. 450 = Rs. 90
S.I. on Rs. 540 = Rs. 90 x 540450 = Rs. 108
∴ B.D. = Rs. 108
3.
The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is :
Answer
T.D. = B.G. x 100R x T = Rs. 6 x 10012 x 1 = Rs. 50
Answer :
Option DExplanation :
T.D. = B.G. x 100R x T = Rs. 6 x 10012 x 1 = Rs. 50
4.
The banker's discount on a certain sum due 2 years hence is 1.1 of the true discount. The rate percent is :
Answer
Let T.D. be Rs. 1. Then B.D = Rs. 1.10.
∴ Sum = Rs. 1.10 x 11.10 − 1 = Rs. 11010 = Rs. 11
∴ S.I. on Rs. 11 for 2 years is Rs. 1.10
Rate = 100 x 1.1011 x 2 % = 5%
Answer :
Option DExplanation :
Let T.D. be Rs. 1. Then B.D = Rs. 1.10.
∴ Sum = Rs. 1.10 x 11.10 − 1 = Rs. 11010 = Rs. 11
∴ S.I. on Rs. 11 for 2 years is Rs. 1.10
Rate = 100 x 1.1011 x 2 % = 5%
5.
The banker's discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is :
Answer
Sum = B.D. x T.D.B.D. − T.D. = Rs. 70 x 6072 − 60 = Rs. 70 x 6012 = Rs. 360
Answer :
Option AExplanation :
Sum = B.D. x T.D.B.D. − T.D. = Rs. 70 x 6072 − 60 = Rs. 70 x 6012 = Rs. 360
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