1.
The banker's discount on a certain sum due 2 years hence is
 11 10
of the true discount the
rate percent is:
• A.
11%
• C.
5%
• B.
10%
• D.
5.5%
• Answer & Explanation
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Explanation :
Let T.D. be Re 1. Then, B.D = Rs.
 11 10
= Rs. 1.10
Sum = Rs.
 1.10 x 1 1.10 - 1
= Rs.
 110 10
= Rs. 11
S.I. on Rs. 11 for 2 years is Rs. 1.10.
Rate =
 100 x 1.10 11 x 2
% = 5%
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2.
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. 120
• C.
Rs. 129
• B.
Rs. 124
• D.
Rs. 133
• Answer & Explanation
• Report
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
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3.
The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:
• A.
Rs. 72
• C.
Rs. 54
• B.
Rs. 36
• D.
Rs. 50
• Answer & Explanation
• Report
Explanation :
T.D. =
 B.G. x 100 R x T
= Rs.
 6 x 100 12 x 1
= Rs. 50
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4.
The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is
• A.
Rs. 400
• C.
Rs. 480
• B.
Rs. 360
• D.
Rs. 320
• Answer & Explanation
• Report
Explanation :
T.D. =
 B.D. x 100 100 + (R x T)

= Rs.
420 x 100
100 +   15 x
 1 3

= Rs.
 420 x 100 105
= Rs. 400
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5.
The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is
• A.
3 months
• C.
6 months
• B.
4 months
• D.
8 months
• Answer & Explanation
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