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Quiz Description :
Name : Banker’s Discount Maths Test
Subject : Mathematics
Topic : Banker’s Discount
Questions: 12 mcq
Time Allowed : 20 Minutes
Important for : Bank exams like IBPS Clerk, PO / MT, RRB, SBI PO / Clerk, RBI and for High school students.
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 Question 1 of 12
1. Question
1 pointsThe True discount on a bill of Rs. 540 is Rs. 90. The banker’s discount is ?
CorrectExplanation: PW = Rs (54090) = Rs. 450
SI on Rs. 450 = Rs. 90
SI on Rs. 540 = Rs. (90 × 540/450) = Rs. 108.IncorrectExplanation: PW = Rs (54090) = Rs. 450
SI on Rs. 450 = Rs. 90
SI on Rs. 540 = Rs. (90 × 540/450) = Rs. 108.UnattemptedExplanation: PW = Rs (54090) = Rs. 450
SI on Rs. 450 = Rs. 90
SI on Rs. 540 = Rs. (90 × 540/450) = Rs. 108.  Question 2 of 12
2. Question
1 pointsThe present wroth of a certain bill due sometime hence is Rs. 800 and the true discount is Rs. 36. The Banker’s Discount is ?
CorrectExplanation: 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. 37.62IncorrectExplanation: 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. 37.62UnattemptedExplanation: 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 3 of 12
3. Question
1 pointsThe present wroth of a certain sum due sometimes hence is Rs. 1600 and the true discount is Rs. 160. The Banker’s gain is ?
CorrectExplanation: B.G. = (T.D.)^{2} / P.W. = Rs. 160 × 160 / 1600 = Rs. 16
IncorrectExplanation: B.G. = (T.D.)^{2} / P.W. = Rs. 160 × 160 / 1600 = Rs. 16
UnattemptedExplanation: B.G. = (T.D.)^{2} / P.W. = Rs. 160 × 160 / 1600 = Rs. 16
 Question 4 of 12
4. Question
1 pointsThe Banker’s gain of a certain sum is due 2 years hence at 12% per annum is Rs 24. The Present worth is?
CorrectExplanation: T.D. = (B.G. × 100/ Rate × Time ) = Rs. (24 × 100 / 10 × 2 ) = Rs. 120
P.W. = 100 × T.D. / Rate × Time = Rs. ( 100 × 120 / 10 × 2 ) = Rs. 600.IncorrectExplanation: T.D. = (B.G. × 100/ Rate × Time ) = Rs. (24 × 100 / 10 × 2 ) = Rs. 120
P.W. = 100 × T.D. / Rate × Time = Rs. ( 100 × 120 / 10 × 2 ) = Rs. 600.UnattemptedExplanation: T.D. = (B.G. × 100/ Rate × Time ) = Rs. (24 × 100 / 10 × 2 ) = Rs. 120
P.W. = 100 × T.D. / Rate × Time = Rs. ( 100 × 120 / 10 × 2 ) = Rs. 600.  Question 5 of 12
5. Question
1 pointsBanker’s gain on a bill due 1 year hence at 12% per annum is Rs 6. The true discount is:
CorrectExplanation: T.D. = (B.G. × 100/ Rate × Time) = Rs. ( 6 × 100 / 12 × 1) = Rs. 50
IncorrectExplanation: T.D. = (B.G. × 100/ Rate × Time) = Rs. ( 6 × 100 / 12 × 1) = Rs. 50
UnattemptedExplanation: T.D. = (B.G. × 100/ Rate × Time) = Rs. ( 6 × 100 / 12 × 1) = Rs. 50
 Question 6 of 12
6. Question
1 pointsThe banker’s discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:
CorrectExplanation: T.D. = (B.D. × 100/ 100+ (Rate × Time)) = Rs. [420 × 100 / 100+ ( 15 ×1/3)]
= Rs. ( 420 × 100 / 105) = Rs. 400.IncorrectExplanation: T.D. = (B.D. × 100/ 100+ (Rate × Time)) = Rs. [420 × 100 / 100+ ( 15 ×1/3)]
= Rs. ( 420 × 100 / 105) = Rs. 400.UnattemptedExplanation: T.D. = (B.D. × 100/ 100+ (Rate × Time)) = Rs. [420 × 100 / 100+ ( 15 ×1/3)]
= Rs. ( 420 × 100 / 105) = Rs. 400.  Question 7 of 12
7. Question
1 pointsThe banker’s gain on a sum due to 3 years hence at 12% per annum is Rs. 270. The Banker’s discount is:
CorrectExplanation: T.D. = (B.G. × 100/ Rate × Time) = Rs. ( 270 × 100 / 12×3 ) = Rs. 750.
B.D. = Rs. (750 + 270 ) = Rs. 1020
IncorrectExplanation: T.D. = (B.G. × 100/ Rate × Time) = Rs. ( 270 × 100 / 12×3 ) = Rs. 750.
B.D. = Rs. (750 + 270 ) = Rs. 1020
UnattemptedExplanation: T.D. = (B.G. × 100/ Rate × Time) = Rs. ( 270 × 100 / 12×3 ) = Rs. 750.
B.D. = Rs. (750 + 270 ) = Rs. 1020
 Question 8 of 12
8. Question
1 pointsThe present worth of a sum due sometime hence is Rs. 576 and the banker’s gain is Rs. 16. The true discount is:
CorrectExplanation: T.D. = √P.W. × B.G. = √ 576 × 16 =96.
IncorrectExplanation: T.D. = √P.W. × B.G. = √ 576 × 16 =96.
UnattemptedExplanation: T.D. = √P.W. × B.G. = √ 576 × 16 =96.
 Question 9 of 12
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:
CorrectExplanation: 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 = 4 months.IncorrectExplanation: 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 = 4 months.UnattemptedExplanation: 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 = 4 months.  Question 10 of 12
10. Question
1 pointsThe Banker’s discount on a sum of money for 1.5 years is Rs. 558 and the true discount on Rs. 1680 for the same time and at the same rate. The time is :
CorrectExplanation: B.D. for 1.5 years = Rs. 558.
B.D. for 2 years = Rs. ( 558 × (2 /3)×2) = Rs. 744.
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. n Rs. 3100 for 2 years.
Rate = ( 100 × 744 / 3100 × 2 ) % = 12 %IncorrectExplanation: B.D. for 1.5 years = Rs. 558.
B.D. for 2 years = Rs. ( 558 × (2 /3)×2) = Rs. 744.
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. n Rs. 3100 for 2 years.
Rate = ( 100 × 744 / 3100 × 2 ) % = 12 %UnattemptedExplanation: B.D. for 1.5 years = Rs. 558.
B.D. for 2 years = Rs. ( 558 × (2 /3)×2) = Rs. 744.
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. n Rs. 3100 for 2 years.
Rate = ( 100 × 744 / 3100 × 2 ) % = 12 %  Question 11 of 12
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:
CorrectExplanation: Sum = (B.D. × T.D.)/ (B.D. – T.D.)
=Rs. ( 72 ×60)/ (7260) = Rs 360IncorrectExplanation: Sum = (B.D. × T.D.)/ (B.D. – T.D.)
=Rs. ( 72 ×60)/ (7260) = Rs 360UnattemptedExplanation: Sum = (B.D. × T.D.)/ (B.D. – T.D.)
=Rs. ( 72 ×60)/ (7260) = Rs 360  Question 12 of 12
12. Question
1 pointsIf the true discount on a certain sum due 6 months hence at 15% is Rs. 120, what is the banker’s discount on the same sum for the same time and at the same rate?
CorrectExplanation: B.G. = S.I. on T.D. = Rs. (120 × ½ × 1/100 ) = Rs. 9
(B.D.) – (T.D.) = Rs. 9
B.D. = Rs. (120 + 9 ) = Rs. 129IncorrectExplanation: B.G. = S.I. on T.D. = Rs. (120 × ½ × 1/100 ) = Rs. 9
(B.D.) – (T.D.) = Rs. 9
B.D. = Rs. (120 + 9 ) = Rs. 129UnattemptedExplanation: B.G. = S.I. on T.D. = Rs. (120 × ½ × 1/100 ) = Rs. 9
(B.D.) – (T.D.) = Rs. 9
B.D. = Rs. (120 + 9 ) = Rs. 129
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