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- Question
- What is the banker's discount if the true discount on a bill of Rs. 540 is Rs. 90?
Options- A. Rs. 108
- B. Rs. 120
- C. Rs. 102
- D. Rs. 106
- Correct Answer
- Rs. 108
ExplanationAs per given question,
Face Value F = 450,
True discount = 90
As we know the formula,
Present Worth, PW = Face Value ? True Discount
Present Worth, PW = F ? TD = 540 ? 90 = Rs. 450
Hence Simple Interest on 450 = 90 ? ? ? ? ? ? ? ? ? ? ( 1 )
Simple Interest on the face value = Bankers Discount
? Simple Interest on 540
Hence, Simple Interest on 540 = 90/450 × 540 = Rs. 108 = Bankers Discount - 1. The banker's discount on a certain amount due 2 years hence is 11/10 of the true discount. What is the rate percent?
Options- A. 1%
- B. 5%
- C. 10%
- D. 12% Discuss
- 2. The present worth of a bill due sometime hence is Rs. 1100 and the true discount on the bill is Rs. 110. Find the banker's discount and the extra gain the banker would make in the transaction?
Options- A. Rs. 11, Rs. 121
- B. Rs. 21, Rs. 131
- C. Rs. 12, Rs. 122
- D. None of these Discuss
- 3. The banker's discount on a certain sum due 4 yr, hence is 11/10 of the true discount. Find the rate per cent per annum.
Options- A. 2.5%
- B. 5%
- C. 5.5%
- D. 1.5% Discuss
- 4. A bill for ? 10200 is drawn on July 14 at 5 months. It is discounted on 5th October at 10%. Find the banker's discount, true discount. banker's gain and the money that the holder of the bill receives?
Options- A. ? 204 , ? 200, ? 4 and ? 9996
- B. ? 100 , ? 200, ? 2 and ? 4989
- C. ? 121 , ? 172, ? 132 and ? 4046
- D. None of these Discuss
- 5. A bill is discounted at 5% per annum. If banker's discount be allowed, at what rate per cent must the proceeds be invested, so that nothing may be lost?
Options- A. 5%
- B. 419/21%
- C. 55/19%
- D. 10% Discuss
- 6. The present worth of a certain bill due sometime hence is Rs. 1296 and the true discount is Rs. 72. What is the banker's discount?
Options- A. Rs. 76
- B. Rs. 72
- C. Rs. 74
- D. Rs. 4 Discuss
- 7. The banker's gain of a certain sum due 3 years hence at 10 % per annum is Rs. 36. What is the present worth (PW)?
Options- A. Rs. 400
- B. Rs. 300
- C. Rs. 500
- D. Rs. 350 Discuss
- 8. The banker's gain on a certain sum due 2.5 years hence is 9/25 times of the banker's discount. What is the rate percent?
Options- A. 18.13%
- B. 18.12%
- C. 24.13%
- D. 22.22% Discuss
- 9. A bill is discounted at 10 % per annum. If banker's discount is allowed, at what rate % should the proceeds be invested so that nothing will be lost?
Options- A. 10 %
- B. 11 1 % 9
- C. 11 %
- D. 9 1 % 9 Discuss
- 10. A banker paid Rs. 5767.20 for a bill of Rs. 5840, drawn of April 4 at 6 months. If the rate of interest was 7 %, what was the day on which the bill was discounted?
Options- A. 3rd March
- B. 3rd September
- C. 3rd October
- D. 3rd August Discuss
Banker's Discount problems
Search Results
Correct Answer: 5%
Explanation:
Correct Answer: Rs. 11, Rs. 121
Explanation:
T.D. = ?P.W. x B.G.
or B.G. = (T.D.)2/P.W. = (110 X 110) / 1100 = Rs. 11
? B.D. = B.G. + T.D. = Rs. (11 + 110) = Rs. 121
Correct Answer: 2.5%
Explanation:
Let TD = N, then BD = 11N/10
Sum = (BD x TD) / (BD - TD) = [(11N/10) x N] / [11N/10 - N]
= [11N2/10] / [N/10] = 11N
SI on ? 11N for 4 yr is ? 11N/10.
? Rate = (100 x 11N/10)/(11N x 4)% per annum
= 2.5% per annum
Correct Answer: ? 204 , ? 200, ? 4 and ? 9996
Explanation:
Face value of the bill = ? 10200
Date on which the bill was drawn = July 14 at 5 Months
Nominally due date = Dec. 14
Legally due date = Dec. 17
Date on which the bill was discounted = Oct. 05
Unexpired time
Oct.-26, Nov. - 30, Dec - 17 = 73 days = 73/365 yr = 1/5 yr
? BD = SI on ? 10200 for 1/5 yr
= (10200 x (10/100) x 1/5)
= ? 204
TD = [10200 x (1/5) x 10] / [100 + 10 x (1/5)]
= (10200 x 2)/102 = ? 200
BG = (BD) - (TD) = (204 - 200) = ? 4
Money received by the holder of the bill = ? (10200 - 204) = ? 9996
Correct Answer: 55/19%
Explanation:
Let the sum be Rs. 100. Then, B.D = Rs. 5.
Proceeds = Rs. (100 - 5) = Rs. 95.
? Rs. 5 must be the interest on Rs. 95 for 1 year.
So, rate = (100 x 5) / (95 x 1) = 55/19%
Correct Answer: Rs. 76
Explanation:
Correct Answer: Rs. 400
Explanation:
Correct Answer: 22.22%
Explanation:
Correct Answer: 11 1 % 9
Explanation:
Correct Answer: 3rd August
Explanation:
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