Arithmatical - Banker's Discount

DIRECTIONS : Problems based on Banker's Discount.
11. 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%
  B.  10%
  C.  5%
  D.  5.5%
Solution
Let T.D be Rs 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%
12. The present worth of a certain sum due sometimes hence is Rs.1600 and the true discount is Rs.160.The banker's gain is
  A.  Rs.16
  B.  Rs.24
  C.  Rs.20
  D.  Rs.12
Solution
B.G
Given,T.D = 160, P.w= 1600
= (T.D)² / P.W
= Rs(160 x 160 / 1600)
= Rs.16.

13. The banker's discount on a bill due 4 months hence at 15% is Rs.420. The discount is
  A.  Rs. 400
  B.  Rs. 360
  C.  Rs. 480
  D.  Rs.320
Solution
T.D= B.D x 100/ 100+(RxT)
= Rs[420x100/100+(15x1/3)]
= Rs.(420x100 / 105)
= Rs.400.
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