The banker's discount on Rs. 1600 at 15% per annum is the same as true discount

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Question
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?
Options
A. 3 months
B. 4 months
C. 5 months
D. 6 months

Correct Answer

4 months

Explanation

Banker's Discount problems

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1.
A bill for Rs. 3000 is drawn on 14^th July at 5 months. It is discounted on 5^th October at 10 %. What is the Banker's Discount BD?
Options
A. Rs. 60
B. Rs. 82
C. Rs. 90
D. Rs. 120

2.
Shankara buys a watch for Rs. 1,950 in cash and sells it for Rs. 2,200 at a credit of 1 year. If the rate of interest is 10% per annum, he _____ :
Options
A. gains Rs. 55
B. gains Rs. 50
C. loses Rs. 30
D. gains Rs. 30

3.
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

4.
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

5.
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%

6.
The difference between Simple Interest and True Discount on a certain sum of money, paid by Mr Manohar, for 6 months at

12 1 % per annum is Rs. 25. Find the sum (Rs.).

2
Options
A. 6,800
B. 6,500
C. 6,000
D. 6,200

7.
Vivek Bhatia wants to sell his scooter. Before him, there are two offers (i) at Rs. 12,000 cash and (ii) at a credit of Rs. 12,880 to be paid after 8 months, money being at 18% per annum which is better offer?
Options
A. 12,800
B. 12,000
C. Both equal
D. Can't say

8.
If Rs. 40 be allowed as true discount on a bill of Rs. 440 at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is Rs.?
Options
A. 72.80
B. 73.32
C. 72.00
D. 73.20

9.
A bill, drawn on 23rd Jun 2017 falls due in 1 year. The creditor agrees to accept immediate payment of the half and to defer the payment of the other half payable on 22^nd Jun 2019. By this arrangement interest charged is Rs. 60. What is the amount (Rs.) of the bill, if the money be worth 12.5%?
Options
A. 1,800
B. 4,500
C. 5,400
D. 1,950

10.
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?
Options
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

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