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- Question
- 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
- Correct Answer
- ? 616
ExplanationGiven 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 - 1. 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
- 2. The banker's discounted 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 percent is?
Options- A. 5%
- B. 6%
- C. 62 / 3%
- D. 31 / 3% Discuss
- 3. A banker's paid 5767.50 for a bill of Rs. 5840, drawn on April 4 at 6 months. On what day was the bill discounted the rate of interest being 7%?
Options- A. 3rd Aug.
- B. 4th Aug.
- C. 3rd Sep.
- D. 3rd July Discuss
- 4. What rate percent does a man get for his money when in discounting a bill due 10 months hence he deducts 4% of the amount of the bill?
Options- A. 5%
- B. 6%
- C. 8%
- D. 4% Discuss
- 5. The banker's discount on Rs. 1600 at 6% is the same as the true discount on Rs. 1624 for the same time and at the same rate. Find the time?
Options- A. 3 months
- B. 4 months
- C. 6 months
- D. 8 months Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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 Discuss
- 10. 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
Banker's Discount problems
Search Results
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: 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. Rs. 1200 for 2 years.
So, rate = (100 x 80) / (1200 x 2)% = 31/3%
Correct Answer: 3rd Aug.
Explanation:
B.D. = Rs. (5840 - 5767.20) = Rs. 72.80
Rs. 72.80 is S.I. on Rs. 5840 at 7%
So, Unexpired time = (100 x 72.80) / (7 x 5840) = 13/73 years = 65 days.
Now, date of draw o bill = April, 4 at 6 months.
Nominally due date = October 4.
Legally due date = October 7
So, we must go back 65 days from October 7.
Oct., sept., Aug. = 7 + 30 + 28
i.e., The bill was discounted on 3rd August.
Correct Answer: 5%
Explanation:
Let the amount of bill be Rs. 100
Money deducted = Rs. 4
Money receive by holder of the bill = Rs. (100 - 4) = Rs. 96
S.I. on Rs. 96 for 10 months = Rs. 4
Rate = [(100 x 4 x 6) / (96 x 5)] = 5%
Correct Answer: 3 months
Explanation:
S.I. on Rs. 1600 is P.W. of Rs. 1624
i.e. Rs. 24 is the S.I. on Rs. 1600 at 6%
? Time = (100 x 24) / (1600 x 6) = 1/4 year = 3 months
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: ? 72
Explanation:
Given that PW = ? 576 , BG = ? 9 and TD = ?
TD = PW x BG
= 576 x 9
= 24 x 3
= ? 72
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: ? 312
Explanation:
We know that
BG = SI on TD = (240 x 30 x 1 x 1)/100
= ? 72
BG = BD - TD
? BD = BG + TD
= 72 + 240
= ? 312
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 %
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