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All questions of Banker's Discount for SSC CGL Exam
The banker's gain on a certain sum due 5/2 years hence is 9/25 of the banker's discount. What is the rate percent?- a)
- b)
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
The banker's gain on a certain sum due 5/2 years hence is 9/25 of the banker's discount. What is the rate percent?
a)
b)
c)
d)
|
Kiran Reddy answered |
Let BD = 1
Then, BG = 9/25
T = 5/2 years
TD = BD - BG
=> 1 - 9/25
=> 16/25
BG = (TD * RT)/100
9/25 = 16/25 * R * 5/2 * 1/100
R = 45/2
R = 22 1/2
Then, BG = 9/25
T = 5/2 years
TD = BD - BG
=> 1 - 9/25
=> 16/25
BG = (TD * RT)/100
9/25 = 16/25 * R * 5/2 * 1/100
R = 45/2
R = 22 1/2
A bill is discounted at 10% per annum. If banker's discount is allowed, at what rate percent should the proceeds be invested so that nothing will be lost?- a)
- b)
- c)
- d)11
Correct answer is option 'B'. Can you explain this answer?
A bill is discounted at 10% per annum. If banker's discount is allowed, at what rate percent should the proceeds be invested so that nothing will be lost?
a)
b)
c)
d)
11
|
Iq Funda answered |
Let the amount = Rs. 100
Then BD = Rs.10 (∵ banker's discount, BD is the simple Interest on the face value of the bill for unexpired time and bill is discounted at 10% per annum)
Proceeds = Rs. 100 - Rs. 10 = Rs. 90
Hence we should get Rs. 10 as the interest of Rs. 90 for 1 year so that nothing will be lost
⇒ 10 = (90×1×R)/100
⇒ R = (10×100)/90
= 100/9
= 11 1/9%
Then BD = Rs.10 (∵ banker's discount, BD is the simple Interest on the face value of the bill for unexpired time and bill is discounted at 10% per annum)
Proceeds = Rs. 100 - Rs. 10 = Rs. 90
Hence we should get Rs. 10 as the interest of Rs. 90 for 1 year so that nothing will be lost
⇒ 10 = (90×1×R)/100
⇒ R = (10×100)/90
= 100/9
= 11 1/9%
The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 360. The banker's discount is:- a)Rs. 1360
- b)Rs. 1000
- c)Rs. 360
- d)Rs. 640
Correct answer is option 'A'. Can you explain this answer?
The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 360. The banker's discount is:
a)
Rs. 1360
b)
Rs. 1000
c)
Rs. 360
d)
Rs. 640
|
|
Kiran Reddy answered |
BG = Rs. 360
T = 3 years
R = 12%
TD = (BG×100)/TR
= (360×100)/(3×12)
= Rs. 1000
BG = BD - TD
⇒ BD = BG + TD
= 360 + 1000
= Rs. 1360
T = 3 years
R = 12%
TD = (BG×100)/TR
= (360×100)/(3×12)
= Rs. 1000
BG = BD - TD
⇒ BD = BG + TD
= 360 + 1000
= Rs. 1360
The present worth of a certain sum due sometime hence is Rs. 3400 and the true discount is Rs. 340. The banker's gain is:- a)Rs. 21
- b)Rs. 17
- c)Rs. 18
- d)Rs. 34
Correct answer is option 'D'. Can you explain this answer?
The present worth of a certain sum due sometime hence is Rs. 3400 and the true discount is Rs. 340. The banker's gain is:
a)
Rs. 21
b)
Rs. 17
c)
Rs. 18
d)
Rs. 34
|
|
Kiran Reddy answered |
BG = (TD)2/PW
= (340)2/3400
= (340×340)/3400
= 340/10
= Rs.34
= (340)2/3400
= (340×340)/3400
= 340/10
= Rs.34
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. What is the time?- a)3 months
- b)4 months
- c)5 months
- d)6 months
Correct answer is option 'B'. Can you explain this answer?
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. What is the time?
a)
3 months
b)
4 months
c)
5 months
d)
6 months
|
|
Kiran Reddy answered |
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*80)/(1600*15)
= 1/3 year
= 4 months.
Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is on Rs. 1600 at 15%.
Time = (100*80)/(1600*15)
= 1/3 year
= 4 months.
The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?- a)Sum = Rs.400 and Time = 5 years
- b)Sum = Rs.200 and Time = 2.5 years
- c)Sum = Rs.400 and Time = 2.5 years
- d)Sum = Rs.200 and Time = 5 years
Correct answer is option 'C'. Can you explain this answer?
The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?
a)
Sum = Rs.400 and Time = 5 years
b)
Sum = Rs.200 and Time = 2.5 years
c)
Sum = Rs.400 and Time = 2.5 years
d)
Sum = Rs.200 and Time = 5 years
|
Ishani Rane answered |
The banker's gain of a certain sum due 3 years hence at 10% per annum is Rs. 36. What is the present worth ?- a)Rs. 400
- b)Rs. 300
- c)Rs. 350
- d)Rs. 500
Correct answer is option 'A'. Can you explain this answer?
The banker's gain of a certain sum due 3 years hence at 10% per annum is Rs. 36. What is the present worth ?
a)
Rs. 400
b)
Rs. 300
c)
Rs. 350
d)
Rs. 500
|
|
Kiran Reddy answered |
T = 3year
R = 10%
TD = (BG × 100)/TR
= (36 × 100)/(3 × 10)
= 12 × 10
= Rs.120
TD = (PW × TR)/100
⇒ 120 = (PW × 3 × 10)/100
⇒ 1200 = PW × 3
PW = 1200/3
= Rs.400
R = 10%
TD = (BG × 100)/TR
= (36 × 100)/(3 × 10)
= 12 × 10
= Rs.120
TD = (PW × TR)/100
⇒ 120 = (PW × 3 × 10)/100
⇒ 1200 = PW × 3
PW = 1200/3
= Rs.400
A bill for Rs. 3000 is drawn on 14th July at 5 months. It is discounted on 5th October at 10%. What is the Banker's Discount?- a)Rs. 60
- b)Rs. 82
- c)Rs. 90
- d)Rs. 120
Correct answer is option 'A'. Can you explain this answer?
A bill for Rs. 3000 is drawn on 14th July at 5 months. It is discounted on 5th October at 10%. What is the Banker's Discount?
a)
Rs. 60
b)
Rs. 82
c)
Rs. 90
d)
Rs. 120
|
Manoj Ghosh answered |
F = Rs. 3000
R = 10%
Date on which the bill is drawn = 14th July at 5 months
Nominally Due Date = 14th December
Legally Due Date = 14th December + 3 days = 17th December
Date on which the bill is discounted = 5th October
Unexpired Time
= [6th to 31st of October] + [30 Days in November] + [1st to 17th of December]
= 26 + 30 + 17
= 73 Days
The true discount on a bill of Rs. 2160 is Rs. 360. What is the banker's discount?- a)Rs. 432
- b)Rs. 422
- c)Rs. 412
- d)Rs. 442
Correct answer is option 'A'. Can you explain this answer?
The true discount on a bill of Rs. 2160 is Rs. 360. What is the banker's discount?
a)
Rs. 432
b)
Rs. 422
c)
Rs. 412
d)
Rs. 442
|
Akanksha Dey answered |
F = Rs. 2160
TD = Rs. 360
PW = F - TD = 2160 - 360 = Rs. 1800
True Discount is the Simple Interest on the present value for unexpired time
⇒ Simple Interest on Rs. 1800 for unexpired time = Rs. 360
Banker's Discount is the Simple Interest on the face value of the bill for unexpired time
= Simple Interest on Rs. 2160 for unexpired time
= (360/1800)×2160
= 1/5×2160
= Rs.432
TD = Rs. 360
PW = F - TD = 2160 - 360 = Rs. 1800
True Discount is the Simple Interest on the present value for unexpired time
⇒ Simple Interest on Rs. 1800 for unexpired time = Rs. 360
Banker's Discount is the Simple Interest on the face value of the bill for unexpired time
= Simple Interest on Rs. 2160 for unexpired time
= (360/1800)×2160
= 1/5×2160
= Rs.432
The true discount on a certain sum due 6 months hence at 15% is Rs. 240. What is the banker's discount on the same sum for the same time at the same rate?- a)Rs. 278
- b)Rs. 228
- c)Rs. 258
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
The true discount on a certain sum due 6 months hence at 15% is Rs. 240. What is the banker's discount on the same sum for the same time at the same rate?
a)
Rs. 278
b)
Rs. 228
c)
Rs. 258
d)
None of these
|
|
Shreya Tiwari answered |
Given in the question,
True Discount = 240
Rate of interest = 15%
Time = 6 months = 1/2 year
As we know the formula ,
True Discount = Banker's Gain × 100
Time in years x Rate of Interest
⇒ 240 = Banker's Gain × 100/(1/2 × 15)
⇒ 240 = Banker's Gain × (100 x 2)/(1 × 15)
⇒ 24 = Banker's Gain × (10 x 2)/(1 × 15)
⇒ 24 = Banker's Gain × (2 x 2)/(1 × 3 )
⇒ 6 = Banker's Gain × 1/3
⇒ Banker's Gain = Rs. 6 x 3
⇒ Banker's Gain = Rs. 18
Apply the formula, As we know that ,
Banker's Gain = Banker's Discount − True Discount
⇒ 18 = Banker's Discount − 240
⇒ Banker's Discount = Rs. 258
True Discount = 240
Rate of interest = 15%
Time = 6 months = 1/2 year
As we know the formula ,
True Discount = Banker's Gain × 100
Time in years x Rate of Interest
⇒ 240 = Banker's Gain × 100/(1/2 × 15)
⇒ 240 = Banker's Gain × (100 x 2)/(1 × 15)
⇒ 24 = Banker's Gain × (10 x 2)/(1 × 15)
⇒ 24 = Banker's Gain × (2 x 2)/(1 × 3 )
⇒ 6 = Banker's Gain × 1/3
⇒ Banker's Gain = Rs. 6 x 3
⇒ Banker's Gain = Rs. 18
Apply the formula, As we know that ,
Banker's Gain = Banker's Discount − True Discount
⇒ 18 = Banker's Discount − 240
⇒ Banker's Discount = Rs. 258
The banker's gain on a bill due 1 year hence at 10% per annum is Rs. 20. What is the true discount?- a)Rs. 200
- b)Rs. 100
- c)Rs. 150
- d)Rs. 250
Correct answer is option 'A'. Can you explain this answer?
The banker's gain on a bill due 1 year hence at 10% per annum is Rs. 20. What is the true discount?
a)
Rs. 200
b)
Rs. 100
c)
Rs. 150
d)
Rs. 250
|
|
Gowri Yadav answered |
Calculation of True Discount:
1. Given Data:
- Banker's gain = Rs. 20
- Rate of interest = 10% per annum
- Time = 1 year
2. Formula for Banker's Gain:
Banker's Gain = Face Value - Present Value
Banker's Gain = Face Value - (Face Value * Rate * Time)
3. Calculating Face Value:
Banker's Gain = Rs. 20
Rate of interest = 10% = 0.10
Time = 1 year
Face Value = Banker's Gain / (Rate * Time)
Face Value = 20 / (0.10 * 1)
Face Value = Rs. 200
4. Calculating True Discount:
True Discount = Face Value - Present Value
True Discount = Face Value - (Face Value / (1 + Rate * Time))
True Discount = Rs. 200 - (Rs. 200 / (1 + 0.10 * 1))
True Discount = Rs. 200 - (Rs. 200 / 1.10)
True Discount = Rs. 200 - Rs. 181.82
True Discount = Rs. 18.18
5. Conclusion:
Therefore, the true discount on a bill due 1 year hence at 10% per annum is Rs. 18.18. Hence, the correct answer is not listed in the options provided.
1. Given Data:
- Banker's gain = Rs. 20
- Rate of interest = 10% per annum
- Time = 1 year
2. Formula for Banker's Gain:
Banker's Gain = Face Value - Present Value
Banker's Gain = Face Value - (Face Value * Rate * Time)
3. Calculating Face Value:
Banker's Gain = Rs. 20
Rate of interest = 10% = 0.10
Time = 1 year
Face Value = Banker's Gain / (Rate * Time)
Face Value = 20 / (0.10 * 1)
Face Value = Rs. 200
4. Calculating True Discount:
True Discount = Face Value - Present Value
True Discount = Face Value - (Face Value / (1 + Rate * Time))
True Discount = Rs. 200 - (Rs. 200 / (1 + 0.10 * 1))
True Discount = Rs. 200 - (Rs. 200 / 1.10)
True Discount = Rs. 200 - Rs. 181.82
True Discount = Rs. 18.18
5. Conclusion:
Therefore, the true discount on a bill due 1 year hence at 10% per annum is Rs. 18.18. Hence, the correct answer is not listed in the options provided.
What is the banker's discount if the true discount on a bill of Rs.540 is Rs.90 ?- a)Rs. 108
- b)Rs. 120
- c)Rs. 102
- d)Rs. 106
Correct answer is option 'A'. Can you explain this answer?
What is the banker's discount if the true discount on a bill of Rs.540 is Rs.90 ?
a)
Rs. 108
b)
Rs. 120
c)
Rs. 102
d)
Rs. 106
|
Gowri Chakraborty answered |
P.W. = Rs. (540 - 90) = Rs. 450.
S.I. on Rs. 450 = Rs. 90.
S.I. on Rs. 540 = Rs.( 90 /450)x 540 = Rs. 108.
B.D. = Rs. 108.
Practice Quiz or MCQ (Multiple Choice Questions) with solution are available for Practice, which would help you prepare for "Banker's Discount" under Logical Reasoning and Data Interpretative. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q.The banker's discount on a bill due 4 months hence at 15% is Rs. 420. What is the true discount? - a)Rs. 410
- b)Rs. 400
- c)Rs. 390
- d)Rs. 380
Correct answer is option 'B'. Can you explain this answer?
Practice Quiz or MCQ (Multiple Choice Questions) with solution are available for Practice, which would help you prepare for "Banker's Discount" under Logical Reasoning and Data Interpretative. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.
Q.
The banker's discount on a bill due 4 months hence at 15% is Rs. 420. What is the true discount?
a)
Rs. 410
b)
Rs. 400
c)
Rs. 390
d)
Rs. 380
|
|
Gowri Chakraborty answered |
The banker's discount on a sum of money for 3 years is Rs. 1116. The true discount on the same sum for 4 years is Rs. 1200. What is the rate percent?- a)8%
- b)12%
- c)10%
- d)6%
Correct answer is option 'D'. Can you explain this answer?
The banker's discount on a sum of money for 3 years is Rs. 1116. The true discount on the same sum for 4 years is Rs. 1200. What is the rate percent?
a)
8%
b)
12%
c)
10%
d)
6%
|
|
Gitanjali Basak answered |
BD for 3 years = Rs.1116
BD for 4 years = (1116/3)×4
= Rs. 1488
TD for 4 years = Rs.1200
F = (BD×TD)/(BD−TD)
= (1488×1200)/(1488−1200)
= (1488×1200)/288
= (124×1200)/24
= (124×100)/2
= 62×100
= Rs.6200
⇒ Rs. 1488 is the simple interest on Rs. 6200 for 4 years
⇒1488 = (6200×4×R)/100
⇒ R = (1488×100)/(6200×4)
= (372×100)/(6200)
= 372/62
= 6%
BD for 4 years = (1116/3)×4
= Rs. 1488
TD for 4 years = Rs.1200
F = (BD×TD)/(BD−TD)
= (1488×1200)/(1488−1200)
= (1488×1200)/288
= (124×1200)/24
= (124×100)/2
= 62×100
= Rs.6200
⇒ Rs. 1488 is the simple interest on Rs. 6200 for 4 years
⇒1488 = (6200×4×R)/100
⇒ R = (1488×100)/(6200×4)
= (372×100)/(6200)
= 372/62
= 6%
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