a2zinterviews

6.	The banker’s gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker’s discount is
	A.  Rs.960
	B.  Rs.840
	C.  Rs.1020
	D.  Rs.760

Solution

T.D =(B.G x 100 / R x T) = Rs.(270x100/12 x 3) = Rs.750. B.D =Rs(750 + 270) = Rs.1020.

7.	The present worth of a sum due sometime hence is Rs.576 and the banker’s gain is Rs.16.The true discount is
	A.  Rs.36
	B.  Rs.72
	C.  Rs.48
	D.  Rs.96

Solution

T.D = √P.W xB.G = √576 x 16 = 96.

8.	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
	B.  4 months
	C.  6 months
	D.  8 months

Solution

S.I on Rs. 1600 = T.D on Rs. 1680. Rs.1600 is the P.W of Rs.1680. Rs.80 is S.I on Rs.1600 at 15%. Time = (100x80 / 600x15) = 1/3 year = 4 months.

9.	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
	A.  Rs.34.38
	B.  Rs.38.98
	C.  Rs.37
	D.  Rs.37.62

Solution

B.G = [(T.D)² / P. W] = Rs. (36 x 36 / 800) = Rs.1.62 B.D Given, T.D =36 = (T.D + B.G) = Rs. (36 + 1.62) = Rs.37.62.

10.	The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs.24. The present worth is
	A.  Rs. 480
	B.  Rs. 520
	C.  Rs. 600
	D.  Rs. 960

Solution

T.D = (B.G x 100/Rate x Time) = Rs.(24x100 / 10x 2) = Rs.120. P.W = (100 x T.D/Rate x Time) = Rs.(100x120 / 10x 2) = Rs.600.