The banker's gain on a certain sum due 2.5 years hence is 9/25 times of the bank

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Question
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%

Correct Answer

22.22%

Explanation

Banker's Discount problems

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1.
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

2.
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

3.
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

4.
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%

5.
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

6.
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

7.
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

8.
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

9.
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

10.
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

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