The bankers discount and the true discount of a sum at 10% per annum simple inte

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Question
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

Correct Answer

Sum = Rs. 400 and Time = 2.5 years

Explanation

Banker's Discount problems

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1.
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

2.
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

3.
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

4.
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

5.
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

6.
The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 540. What is the banker's discount?
Options
A. 1240
B. 1120
C. 1190
D. 1290

7.
The banker's discount on a sum of money for 3 years is Rs. 1116. The true discount on the same sum for 4 years is Rs. 1200. What is the rate percent?
Options
A. 8%
B. 12%
C. 10%
D. 6%

8.
The profit earned by Mrs Malhotra in selling an article for Rs. 900 is double the loss incurred by her when the same article is sold for Rs. 490. At what price (Rs.) should the article be sold to make 25% profit?
Options
A. 715
B. 469
C. 400
D. 750

9.
Mr Jaspal purchased a cow for Rs. 3,000 and sold it to Mr Dharampal, on the same day, for Rs. 3,600, allowing Dharampal a credit of 2 years. If the rate of interest be 10% per annum, then the Jaspal has a gain of:
Options
A. Nil
B. 5%
C. 750
D. 10%

10.
The speed of boat upstream and speed of boat downstream are 7 km/h and 13 km/h, respectively. Then the speed of stream and the speed of boat in still water is?
Options
A. 10 km/h and 3 km/h
B. 15 km/h and 9 km/h
C. 20 km/h and 6 km/h
D. 40 km/h and 12 km/h

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