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1.

The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:

Answer» 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.
Discussion
2.

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. = Rs. 72 x 60 = Rs. 72 x 60 = Rs. 360. B.D. - T.D. 72 - 60 12
Discussion
3.

The certain worth of a certain sum due sometime hence is Rs. 1600 and the true discount is Rs. 160. The banker's gain is:

Answer» B.G. = (T.D.)2 = Rs. 160 x 160 = Rs. 16. P.W. 1600
Discussion
4.

The present worth of a certain bill due sometime hence is Rs. 800 and the true discount is Rs. 36. The banker's discount is:

Answer» B.G. = (T.D.)2 = Rs. 36 x 36 = Rs. 1.62 P.W. 800 B.D. = (T.D. + B.G.) = Rs. (36 + 1.62) = Rs. 37.62
Discussion
5.

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.
Discussion
6.

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 540 = Rs. 108. 450 B.D. = Rs. 108.
Discussion
7.

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:

Answer» S.I. on Rs. 1600 = T.D. on Rs. 1680. Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is on Rs. 1600 at 15%. Time = 100 x 80 year = 1 year = 4 months. 1600 x 15 3
Discussion
8.

The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:

Answer» T.D. = B.G. x 100 = Rs. 24 x 100 = Rs. 120. Rate x Time 10 x 2 P.W. = 100 x T.D. = Rs. 100 x 120 = Rs. 600. Rate x Time 10 x 2
Discussion
9.

The banker's discount on a sum of money for 1 years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:

Answer» B.D. for years = Rs. 558. B.D. for 2 years = Rs. 558 x 2 x 2 3 = Rs. 744 T.D. for 2 years = Rs. 600. Sum = B.D. x T.D. = Rs. 744 x 600 = Rs. 3100. B.D. - T.D 144 Thus, Rs. 744 is S.I. on Rs. 3100 for 2 years. Rate = 100 x 744 % = 12% 3100 x 2
Discussion
10.

The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:

Answer» T.D. = B.G. x 100 = Rs. 270 x 100 = Rs. 750. R x T 12 x 3 B.D. = Rs.(750 + 270) = Rs. 1020.
Discussion
11.

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 100 = Rs. 6 x 100 = Rs. 50. R x T 12 x 1
Discussion