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Question 1: The banker's gain on a sum due 3 years hence at 12% per annum is Rs.270.The banker's discount is:
(1) 920
(2) 480
(3) 1020
(4) 640
Option 3
Explanation:
T.D.= = Rs.750
∴ B.D.= Rs.(750+270) = Rs.1020
Question 2: The banker's discount on Rs.1600 at 15% per annum is the same as ture discount on Rs.1680 for the same time and at the same rate. The time is :
(1) 2 months
(2) 4 months
(3) 6 months
(4) 1 months
Option 2
Explanation:
S.I. on Rs.1600=T.D.on Rs.1680.
∴ Rs.1600 is the P.W of Rs 1680,i.e Rs 80 is S.I. on Rs 1600 at 15%
∴ Time = (100×80/1600×15) year = 1/3 year = 4 months.
Question 3: The banker's discount on a sum of money for 112 years is Rs.558 and the true discount on the same sum for 2 years is Rs.600.The rate percent is :
(1) 10%
(2) 14%
(3) 12%
(4) 18%
Option 3
Explanation:
B.D. for 3/2 years.= Rs.558 B.D for 2 years = Rs.(558×2/3×2) = Rs.774
T.D. for 2 years =Rs.600.
∴ sum = (B.D.×T.D/B.D.−T.D) = Rs (744×600/144) = Rs.3100
Thus,Rs 744 is S.I on Rs 3100 for 2 years.
∴ Rate = (100×744/3100×2) % = 12%
Question 4: 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 :
(1) Rs. 360
(2) Rs. 342
(3) Rs. 558
(4) RS.1056
Option 1
Explanation:
Sum = B.D×T.D/B.D.−T.D. = (72×60/72−60) = (72×60/12) = Rs 360.
Question 5: The true discount on a bill or Rs 540 is Rs 90.The banker's discount is :
(1) 50
(2) 108
(3) 120
(4) 142
Option 2
Explanation:
P.W = Rs.(54090) = Rs.450.
∴ S.I on Rs 450 = Rs 90
S.I on Rs 540 = Rs (90/450×540)= Rs 108.
∴ B.D = Rs 108.
Question 6: 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 :
(1) 27
(2) 37.62
(3) 24.63
(4) 25
Option 2
Explanation:
B.G = T.D^{2}/P.W=Rs.(36×36/800) = Rs 1.62
∴ B.D = (T.D + B.G)= Rs (36 + 1.62) = Rs 37.62
Question 7: The banker's gain on a certain sum due 112 years hence is 325 of the banker's discount .The rate percent is :
(1) 5(1/5)
(2) 9(1/11)
(3) 4(2/5)
(4) 3(1/5)
Option 2
Explanation:
Let, B.D = Rs 1
Then B.G = Rs 3/25
∴ T.D = (B.D  B.G) = Rs(1−3/25)=Rs 22/25
Question 8: The banker's discount on a certain sum due 2 years hence is 1110 of the true discount .The rate percent is :
(1) 10%
(2) 12%
(3) 5%
(4) 2.5%
Option 3
Explanation:
Let T.D. be Rs.1 .Then,B.D.=Rs.11/10= Rs.1.10
Question 9: The banker's gain on a bill due 1 year hence at 12% per annum is Rs.6. The hence discount is :
(1) 62
(2) 47
(3) 24
(4) 50
Option 4
Explanation:
T.D.=B.G.×100/R×T = Rs(6×100/12×1) = Rs.50
Question 10: The banker's discount on a bill due 4 months hence at 15% is Rs.420.The true discount is :
(1) 400
(2) 385
(3) 580
(4) 220
Option 1
Explanation:
= Rs. 400
Question 11: The present worth of a sum due sometime hence is Rs.576 and the banker's gain is Rs.16.The true discount is :
(1) 26
(2) 62
(3) 28
(4) 96
Option 4
Explanation:
T.D.=
Question 12: The present worth of a certain sum due sometime hence is Rs.1600 and the true discount is Rs.160. The banker's gain is :
(1) 10
(2) 26
(3) 16
(4) 21
Option 3
Explanation:
B.G. = T.D.2/P.W. = Rs.(160×160/1600) = Rs.16
Question 13: The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs.24.The present worth is :
(1) Rs.350
(2) Rs.420
(3) Rs. 600
(4) 863
Option 3
Explanation:
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