Bankers Discount
Q. If the Banker's Discount on a bill of Rs. 20000 due in 6 months at 10% is Rs. 1000, what is the true discount?
-
A.
Rs. 800
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B.
Rs. 1000
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C.
Rs. 1200
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D.
Rs. 600
Solution
True Discount = Banker's Discount × (Time / (Time + 1)) = 1000 × (0.5 / (0.5 + 1)) = Rs. 666.67.
Correct Answer: A — Rs. 800
Q. If the Banker's Discount on a bill of Rs. 22000 due in 5 months at 6% is Rs. 550, what is the true discount?
-
A.
Rs. 500
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B.
Rs. 550
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C.
Rs. 600
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D.
Rs. 450
Solution
True Discount = Banker's Discount × (Time / (Time + 1)) = 550 × (5/12) = Rs. 229.17.
Correct Answer: A — Rs. 500
Q. If the Banker's Discount on a bill of Rs. 8000 due in 1 year at 12% is Rs. 960, what is the true discount?
-
A.
Rs. 800
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B.
Rs. 960
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C.
Rs. 720
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D.
Rs. 640
Solution
True Discount = Banker's Discount × (Time / (Time + 1)) = 960 × (1 / (1 + 1)) = Rs. 480.
Correct Answer: C — Rs. 720
Q. If the Banker's Discount on a bill of Rs. 8000 due in 6 months at 12% per annum is Rs. 480, what is the true discount?
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A.
Rs. 400
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B.
Rs. 480
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C.
Rs. 600
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D.
Rs. 500
Solution
True Discount = Banker's Discount * (Time / (Time + 1)) = 480 * (6/12) = Rs. 240.
Correct Answer: A — Rs. 400
Q. If the Banker's Discount on a loan of $3000 is $90 for 3 months, what is the rate of interest?
Solution
Rate = (BD x 100) / (Principal x Time) = (90 x 100) / (3000 x 3/12) = 12%
Correct Answer: A — 6%
Q. If the bankers discount on a sum of $8000 for 1 year at 12% is $960, what is the present value?
-
A.
$7040
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B.
$7048
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C.
$7200
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D.
$7208
Solution
Present Value = Principal - Bankers Discount = 8000 - 960 = $7040.
Correct Answer: A — $7040
Q. If the bankers' discount on a bill is Rs. 400 and the time is 1 year at a rate of 8% per annum, what is the face value of the bill?
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A.
Rs. 5000
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B.
Rs. 6000
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C.
Rs. 7000
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D.
Rs. 8000
Solution
Face Value = BD / (Rate × Time) = 400 / (0.08 × 1) = Rs. 5000.
Correct Answer: B — Rs. 6000
Q. If the bankers' discount on a bill is Rs. 400 and the time is 4 months, what is the face value of the bill at the rate of 12% per annum?
-
A.
Rs. 4000
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B.
Rs. 5000
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C.
Rs. 6000
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D.
Rs. 7000
Solution
Face Value = BD / (Rate × Time) = 400 / (12 × 4/12) = Rs. 5000.
Correct Answer: B — Rs. 5000
Q. If the present value of a bill is Rs. 7200 and the bankers' discount is Rs. 800, what is the face value of the bill?
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A.
Rs. 8000
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B.
Rs. 7200
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C.
Rs. 6000
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D.
Rs. 5000
Solution
Face Value = Present Value + BD = 7200 + 800 = Rs. 8000.
Correct Answer: A — Rs. 8000
Q. If the present value of a sum is $4500 and the bankers discount is $500, what is the principal?
-
A.
$5000
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B.
$5500
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C.
$6000
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D.
$6500
Solution
Principal = Present Value + Bankers Discount = 4500 + 500 = $5000.
Correct Answer: A — $5000
Q. If the principal is $15000 and the bankers discount is $2250, what is the rate of interest?
-
A.
10%
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B.
12%
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C.
15%
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D.
18%
Solution
Rate = (Bankers Discount × 100) / (Principal × Time) = (2250 × 100) / (15000 × 1) = 15%.
Correct Answer: A — 10%
Q. If the true discount on a bill of Rs. 3000 due in 5 months is Rs. 150, what is the Banker's Discount at 10% per annum?
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A.
Rs. 200
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B.
Rs. 150
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C.
Rs. 250
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D.
Rs. 300
Solution
Banker's Discount = True Discount * (1 + (Rate * Time)) = 150 * (1 + (10 * 5/12)) = Rs. 200.
Correct Answer: A — Rs. 200
Q. What is the Banker's Discount on a bill of $2500 due in 9 months at a rate of 8%?
-
A.
$150
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B.
$120
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C.
$100
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D.
$180
Solution
Banker's Discount = (2500 x 8 x 9/12) / 100 = $150
Correct Answer: A — $150
Q. What is the Banker's Discount on a bill of $500 due in 3 months at a rate of 6% per annum?
-
A.
$7.50
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B.
$8.00
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C.
$9.00
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D.
$10.00
Solution
Banker's Discount = (Principal x Rate x Time) / 100 = (500 x 6 x 3/12) / 100 = $7.50
Correct Answer: A — $7.50
Q. What is the Banker's Discount on a bill of Rs. 2000 due in 4 months at 15% per annum?
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A.
Rs. 100
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B.
Rs. 80
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C.
Rs. 60
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D.
Rs. 120
Solution
Banker's Discount = (2000 * 15 * 4/12) / 100 = Rs. 100.
Correct Answer: B — Rs. 80
Q. What is the bankers discount on a sum of $10000 due in 4 years at 5%?
-
A.
$2000
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B.
$1000
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C.
$500
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D.
$400
Solution
Bankers Discount = (10000 × 5 × 4) / 100 = $2000.
Correct Answer: B — $1000
Q. What is the face value of a bill if the bankers' discount is Rs. 300, the rate is 10% per annum, and the time is 6 months?
-
A.
Rs. 6000
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B.
Rs. 5000
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C.
Rs. 4000
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D.
Rs. 3000
Solution
Face Value = BD / (Rate × Time) = 300 / (0.10 × 0.5) = Rs. 6000.
Correct Answer: A — Rs. 6000
Q. What is the face value of a bill if the bankers' discount is Rs. 500, the rate is 10% per annum, and the time is 6 months?
-
A.
Rs. 5000
-
B.
Rs. 6000
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C.
Rs. 7000
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D.
Rs. 8000
Solution
Face Value = BD / (Rate × Time) = 500 / (10 × 0.5) = Rs. 5000.
Correct Answer: A — Rs. 5000
Q. What is the maturity value of a bill of $1000 with a Banker's Discount of $20 for 3 months?
-
A.
$980
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B.
$1000
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C.
$1020
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D.
$1040
Solution
Maturity Value = Principal + BD = 1000 + 20 = $1020
Correct Answer: C — $1020
Q. What is the present value of a bill of Rs. 10000 due in 1 year with a bankers' discount of Rs. 800?
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A.
Rs. 9200
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B.
Rs. 10000
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C.
Rs. 10800
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D.
Rs. 8800
Solution
Present Value = Face Value - BD = 10000 - 800 = Rs. 9200.
Correct Answer: A — Rs. 9200
Q. What is the present value of a sum of $20000 due in 3 years at a bankers discount of 9%?
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A.
$18000
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B.
$17000
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C.
$16000
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D.
$15000
Solution
Bankers Discount = (20000 × 9 × 3) / 100 = $5400. Present Value = 20000 - 5400 = $14600.
Correct Answer: A — $18000
Q. What is the true discount on a bill of Rs. 10000 due in 1 year if the Banker's Discount is Rs. 1000?
-
A.
Rs. 900
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B.
Rs. 1000
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C.
Rs. 1100
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D.
Rs. 800
Solution
True Discount = Banker's Discount × (Time / (Time + 1)) = 1000 × (1 / (1 + 1)) = Rs. 500.
Correct Answer: A — Rs. 900
Q. What is the true discount on a bill of Rs. 30000 due in 2 years if the Banker's Discount is Rs. 3000?
-
A.
Rs. 2500
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B.
Rs. 3000
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C.
Rs. 3500
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D.
Rs. 2000
Solution
True Discount = Banker's Discount × (Time / (Time + 1)) = 3000 × (2 / (2 + 1)) = Rs. 2000.
Correct Answer: A — Rs. 2500
Q. What is the true discount on a bill of Rs. 5000 due in 3 months if the Banker's Discount is Rs. 125?
-
A.
Rs. 100
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B.
Rs. 125
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C.
Rs. 150
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D.
Rs. 200
Solution
True Discount = Banker's Discount * (Time / (Time + 1)) = 125 * (3/12) = Rs. 31.25.
Correct Answer: A — Rs. 100
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