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Name: Banker’s Discount – 1
Subject: Numerical Aptitude ( संख्यात्मक अभियोगिता)
Topic: Banker’s Discount – 1
Questions: 11 Objective Type Questions
Time Allowed: 25 Minutes
Language: English
Important for: Police Exam, SSC ( CGL, CHSL, GD etc), State PCS, UPSC, Railway, IBPS Clerk, IBPS RRB, SBI Clerk, Engineering Entrance exam, समूह ग आदि 
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 Question 1 of 11
1. Question
1 pointsThe true discount on a bill of Rs. 540 is Rs. The banker’s discount is:
CorrectP.W. = Rs. (54090)= Rs. 450.
S.I. on Rs. 450 = Rs. 90.
S.I. on Rs. 540 = Rs. \(\left ( \frac{90}{450}\times540 \right ) = Rs. 108\)
B.D. = Rs. 108.IncorrectP.W. = Rs. (54090)= Rs. 450.
S.I. on Rs. 450 = Rs. 90.
S.I. on Rs. 540 = Rs. \(\left ( \frac{90}{450}\times540 \right ) = Rs. 108\)
B.D. = Rs. 108.UnattemptedP.W. = Rs. (54090)= Rs. 450.
S.I. on Rs. 450 = Rs. 90.
S.I. on Rs. 540 = Rs. \(\left ( \frac{90}{450}\times540 \right ) = Rs. 108\)
B.D. = Rs. 108.  Question 2 of 11
2. Question
1 pointsThe present worth of a certain bill due sometime hence is Rs. 800 and the true discount is Rs. 36. The banker’s discount is:
CorrectB.G. = \(\frac{(T.D.)^{2}}{P.W.} = Rs. \left ( \frac{36\times36}{800} \right )= Rs. 1.62. \therefore B.D. = (T.D. + B.G.) = Rs. (36+1.62)= Rs. 37.62\)
IncorrectB.G. = \(\frac{(T.D.)^{2}}{P.W.} = Rs. \left ( \frac{36\times36}{800} \right )= Rs. 1.62. \therefore B.D. = (T.D. + B.G.) = Rs. (36+1.62)= Rs. 37.62\)
UnattemptedB.G. = \(\frac{(T.D.)^{2}}{P.W.} = Rs. \left ( \frac{36\times36}{800} \right )= Rs. 1.62. \therefore B.D. = (T.D. + B.G.) = Rs. (36+1.62)= Rs. 37.62\)
 Question 3 of 11
3. Question
1 pointsThe present worth of a certain sum due sometime hence is Rs. 1600 and the true discount is Rs. 160. The banker’s gain is:
CorrectB.G. = \(\frac{(T.D.)^{2}}{P.W.} = Rs. \left ( \frac{160\times160}{1600} \right )= Rs. 16\)
IncorrectB.G. = \(\frac{(T.D.)^{2}}{P.W.} = Rs. \left ( \frac{160\times160}{1600} \right )= Rs. 16\)
UnattemptedB.G. = \(\frac{(T.D.)^{2}}{P.W.} = Rs. \left ( \frac{160\times160}{1600} \right )= Rs. 16\)
 Question 4 of 11
4. Question
1 pointsThe banker’s gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:
CorrectT.D. = \(\left ( \frac{B.G.\times100}{Rate\times Time} \right )= Rs. \left ( \frac{24\times100}{10\times2} \right )= Rs. 120 \therefore P.W. = \frac{100\times T.D.}{Rate\times Time}= Rs.\left ( \frac{100\times 120}{10\times2} \right )= Rs. 600\)
IncorrectT.D. = \(\left ( \frac{B.G.\times100}{Rate\times Time} \right )= Rs. \left ( \frac{24\times100}{10\times2} \right )= Rs. 120 \therefore P.W. = \frac{100\times T.D.}{Rate\times Time}= Rs.\left ( \frac{100\times 120}{10\times2} \right )= Rs. 600\)
UnattemptedT.D. = \(\left ( \frac{B.G.\times100}{Rate\times Time} \right )= Rs. \left ( \frac{24\times100}{10\times2} \right )= Rs. 120 \therefore P.W. = \frac{100\times T.D.}{Rate\times Time}= Rs.\left ( \frac{100\times 120}{10\times2} \right )= Rs. 600\)
 Question 5 of 11
5. Question
1 pointsThe banker’s gain on a bill due 1 year hence at 12% per annum is Rs. 420. The true discount is:
Correct\(\left ( \frac{B.G.\times100}{Rate\times Time} \right )= Rs. \left ( \frac{6\times100}{12\times1} \right )= Rs. 50.\)
Incorrect\(\left ( \frac{B.G.\times100}{Rate\times Time} \right )= Rs. \left ( \frac{6\times100}{12\times1} \right )= Rs. 50.\)
Unattempted\(\left ( \frac{B.G.\times100}{Rate\times Time} \right )= Rs. \left ( \frac{6\times100}{12\times1} \right )= Rs. 50.\)
 Question 6 of 11
6. Question
1 pointsThe banker’s discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:
Correct\(\left ( \frac{B.G.\times100}{100+(R\times T)} \right )= Rs.\left [ \frac{420\times100}{100+\left ( 15\times \frac{1}{3} \right )} \right ]= Rs. \left ( \frac{420\times100}{105} \right )= Rs. 400\)
Incorrect\(\left ( \frac{B.G.\times100}{100+(R\times T)} \right )= Rs.\left [ \frac{420\times100}{100+\left ( 15\times \frac{1}{3} \right )} \right ]= Rs. \left ( \frac{420\times100}{105} \right )= Rs. 400\)
Unattempted\(\left ( \frac{B.G.\times100}{100+(R\times T)} \right )= Rs.\left [ \frac{420\times100}{100+\left ( 15\times \frac{1}{3} \right )} \right ]= Rs. \left ( \frac{420\times100}{105} \right )= Rs. 400\)
 Question 7 of 11
7. Question
1 pointsThe banker’s gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker’s discount is:
Correct\(T.D. = \left ( \frac{B.G. \times 100}{R\times T} \right )= Rs. \left ( \frac{270\times100}{12\times3} \right )= Rs. 750. \therefore B.D. = Rs. (750+270)= Rs. 1020.\)
Incorrect\(T.D. = \left ( \frac{B.G. \times 100}{R\times T} \right )= Rs. \left ( \frac{270\times100}{12\times3} \right )= Rs. 750. \therefore B.D. = Rs. (750+270)= Rs. 1020.\)
Unattempted\(T.D. = \left ( \frac{B.G. \times 100}{R\times T} \right )= Rs. \left ( \frac{270\times100}{12\times3} \right )= Rs. 750. \therefore B.D. = Rs. (750+270)= Rs. 1020.\)
 Question 8 of 11
8. Question
1 pointsThe present worth of a sum due sometime hence is Ts. 576 and the banker’s gain is Rs. 16 The true discount is:
Correct\(T.D. = \sqrt{P.W. \times B.G. }= \sqrt{576\times16}= 96.\)
Incorrect\(T.D. = \sqrt{P.W. \times B.G. }= \sqrt{576\times16}= 96.\)
Unattempted\(T.D. = \sqrt{P.W. \times B.G. }= \sqrt{576\times16}= 96.\)
 Question 9 of 11
9. Question
1 pointsThe 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:
CorrectS.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 = \(\left ( \frac{100\times80}{1600\times15} \right )year = \frac{1}{3}year = 4 months.\)IncorrectS.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 = \(\left ( \frac{100\times80}{1600\times15} \right )year = \frac{1}{3}year = 4 months.\)UnattemptedS.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 = \(\left ( \frac{100\times80}{1600\times15} \right )year = \frac{1}{3}year = 4 months.\)  Question 10 of 11
10. Question
1 pointsThe banker’s discount on a sum of money for \(1\frac{1}{2}\) years is Rs. 558 and the discount on the same sum for 2 years is Rs. 600. The rate percent is:
CorrectB.D. for \(\frac{3}{2}\) years = Rs. 558. B.D. for 2 years = Rs. \(\left ( 558\times\frac{2}{3}\times2 \right )= Rs. 744.\)
T.D. for 2 years = RS. 600.
Sum = \(\frac{B.D\times T.D.}{B.D. – T.D.} = Rs. \left ( \frac{744\times600}{144} \right ) RS. 3100.\)
Thus, Rs. 744 is S.I. on Rs. 3100 for 2 years.
Rate = \(\frac{100\times 744}{3100\times2} = 12\)%IncorrectB.D. for \(\frac{3}{2}\) years = Rs. 558. B.D. for 2 years = Rs. \(\left ( 558\times\frac{2}{3}\times2 \right )= Rs. 744.\)
T.D. for 2 years = RS. 600.
Sum = \(\frac{B.D\times T.D.}{B.D. – T.D.} = Rs. \left ( \frac{744\times600}{144} \right ) RS. 3100.\)
Thus, Rs. 744 is S.I. on Rs. 3100 for 2 years.
Rate = \(\frac{100\times 744}{3100\times2} = 12\)%UnattemptedB.D. for \(\frac{3}{2}\) years = Rs. 558. B.D. for 2 years = Rs. \(\left ( 558\times\frac{2}{3}\times2 \right )= Rs. 744.\)
T.D. for 2 years = RS. 600.
Sum = \(\frac{B.D\times T.D.}{B.D. – T.D.} = Rs. \left ( \frac{744\times600}{144} \right ) RS. 3100.\)
Thus, Rs. 744 is S.I. on Rs. 3100 for 2 years.
Rate = \(\frac{100\times 744}{3100\times2} = 12\)%  Question 11 of 11
11. Question
1 pointsThe 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:
CorrectSum = \(\frac{B.D. \times T.D.}{B.D. – T.D.} = Rs. \left ( \frac{72\times60}{7260} \right ) =Rs. \left ( \frac{72\times60}{12} \right )= Rs. 360.\)
IncorrectSum = \(\frac{B.D. \times T.D.}{B.D. – T.D.} = Rs. \left ( \frac{72\times60}{7260} \right ) =Rs. \left ( \frac{72\times60}{12} \right )= Rs. 360.\)
UnattemptedSum = \(\frac{B.D. \times T.D.}{B.D. – T.D.} = Rs. \left ( \frac{72\times60}{7260} \right ) =Rs. \left ( \frac{72\times60}{12} \right )= Rs. 360.\)