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- Question
- The true discount on a certain sum due 1 yr hence at 30% per annum, is ? 240. What is the banker' discount on the same sum for the same time and at the same rate?
Options- A. ? 400
- B. ? 212
- C. ? 312
- D. ? 445
- Correct Answer
- ? 312
ExplanationWe know that
BG = SI on TD = (240 x 30 x 1 x 1)/100
= ? 72
BG = BD - TD
? BD = BG + TD
= 72 + 240
= ? 312 - 1. If rate of interest and time on a certain bill are numerically equal and true discount is 81 times of banker's gain, find the rate of interest?
Options- A. 29/13 %
- B. 12/9 %
- C. 17/9 %
- D. 11/9 % Discuss
- 2. The present worth of a sum due sometime hence is ? 576 And banker's gain is ? 9. Find the true and discount?
Options- A. ? 8
- B. ? 70
- C. ? 95
- D. ? 72 Discuss
- 3. The present worth of a bill due sometime, hence is ? 2200 and true discount on the bill is ? 220. Find the banker's discount and banker's gain?
Options- A. BG = ? 22 and BD = ? 242
- B. BG = ? 242 and BD = ? 22
- C. BG = ? 11 and BD = ? 121
- D. BG = ? 31 and BD = ? 343 Discuss
- 4. The true discount on a bill 24 months, hence at 24% per annum, is ? 144. What will be the banker's discount?
Options- A. ? 213.12
- B. ? 415
- C. ? 515.12
- D. ? 616 Discuss
- 5. The face value of a bill due 5 yr hence is ? 13800. If the rate of simple interest is 5% per annum, what will be the banker's gain at the bill?
Options- A. ? 690
- B. ? 600
- C. ? 590
- D. ? 625 Discuss
- 6. What rate per cent does Shantanu get for his money in discounting a bill due 30 months hence he deducts 30% of the amount of the bill?
Options- A. 172/7%
- B. 173/7%
- C. 175/7%
- D. 171/7% Discuss
- 7. The banker's gain on a certain sum due 2 1/ 2 years hence is (3/23)
of the banker's discount. The rate per cent is?
Options- A. 5%
- B. 6%
- C. 214/23%
- D. 623% Discuss
- 8. The banker's discount on Rs. 1650 due a certain time hence is Rs. 165. Find the true discount and the banker's gain?
Options- A. Rs. 150, Rs. 15
- B. Rs. 160, Rs. 5
- C. Rs. 145, Rs. 20
- D. None of these Discuss
- 9. The banker's discount on a sum of money for 1 1/ 2 years is Rs. 60 and
the true discount on the same sum for 2 years is Rs. 75. The rate per cent is?
Options- A. 5%
- B. 6%
- C. 62/3%
- D. 31/3% Discuss
- 10. Find the difference between the banker's discount and the true discount on Rs. 8100 for 3 months at 5%?
Options- A. Rs. 0.125
- B. Rs. 1.25
- C. Rs. 12.5
- D. None of these Discuss
Banker's Discount problems
Search Results
Correct Answer: 11/9 %
Explanation:
Given that, n = 81
According to the formula.
R = 10?1/n%
= 10?1/81%
= 10 x (1/9) % = 11/9 %
Correct Answer: ? 72
Explanation:
Given that PW = ? 576 , BG = ? 9 and TD = ?
TD = PW x BG
= 576 x 9
= 24 x 3
= ? 72
Correct Answer: BG = ? 22 and BD = ? 242
Explanation:
Given that, PW = ? 2200, TD = ? 220
According to the formula,
BG = (TD)2/PW = (220 x 220)/2200 = ? 22
BD = (TD + BG) = ?(220 + 22) = ? 242
Correct Answer: ? 616
Explanation:
Given that, R = 24%, T = 24 months= 2 yr and TD = ? 144
BD = TD + BG
According to the formula,
BG = (TD x R x T)/100 = (144 x 24 x 2)/100
= ? 69.12
? BD = 144 + 69.12 = ? 213.12
Correct Answer: ? 690
Explanation:
Give that A = ? 13800 , R = 5%
T = 5 yr and BG = ?
According to the formula,
BG = [A(R x T)2] / [100(100 + R x T)]
= [13800(5 x 5)2] / [100(100 + 5 x 5)]
= (13800 x 625) / (100 x 125)
= ? 690
Correct Answer: 171/7%
Explanation:
Let the amount of the bill = ? 100.
Money deducted = ? 30
Money received by the holder of the bill = ? (100 - 30) = ? 70
SI on ? 70 for 30 months = ? 30
? Rate = [100 x 30] / [70 x (30/12)]% per annum
= (10 x 3 x 12) / 21 %
= (10 x 12) / 7 %
= 120/7 %
= 171/7 %
Correct Answer: 6%
Explanation:
Let B.D. be Re. 1. Then B.G. = Re. (3/23)
? T.D.= Re. (1 - 3/23) = Re. (20/23)
Sum = Rs. [(1 x 20/23 / (1 - 20/23)] = Rs. 20/3
? S.I. on Rs. 20/3 for 21/2 years is Re. 1
? Rate = (100 x 1 / 20/3 x 5/2)% = 6%
Correct Answer: Rs. 150, Rs. 15
Explanation:
Sum = (B.D. x T.D.) / (B.D. - T.D.) = (B.D. x T.D.) / B.G.
? T.D. / B.G. = Sum / B.D. = 1650/165 = 10/1
i.e., if B.G. is Re. 1, T.D. = Rs. 10 or B.D. = Rs. 11
? if B.D. is Rs. 11, T.D. = Rs. 10
If B.D. is Rs. 165, T.D. = Rs. (10/11) x 165 = Rs. 150
Also, BG = Rs. (165 - 150) = Rs. 15
Correct Answer: 31/3%
Explanation:
B.D. for (3/2) years = Rs. 60
B.D. for 2 years = Rs. (60 x 2/3 x 2) = Rs. 80
Now, B.D. = Rs. 80; T.D. = Rs. 75
and Time = 2 years
? Sum = Rs. (80 x 75 / 5) = Rs. 1200
? Rs. 80 is S.I. on Rs. 1200 for 2 years.
So, rate = (100 x 80/1200 x 2)% = 31/3%B.D. for (3 / 2) years = Rs. 60
B.D. for 2 years = Rs. (60 x 2 / 3 x 2) = Rs. 80
Now, B.D. = Rs. 80; T.D. = Rs. 75 and Time = 2 years
? Sum = Rs. (80 x 75 / 5) = Rs. 1200
? Rs. 80 is S.I. on Rs. 1200 for 2 years.
So, rate = (100 x 80 / 1200 x 2)% = 31/3%
Correct Answer: Rs. 1.25
Explanation:
Difference between banker's discount and the true discount = Banker's gain.
? B.G. = (B.D.) - (T.D.)
B.D. = FTR / 100
= [8100 x (1/4) x 5] / 100
= 101.25
T.D. = FTR / (100 + TR)
= [8100 x (1/4) x 5] / (100 + 5/4)
= 100
? B.G. = 101.25 - 100
= Rs. 1.25
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