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QUESTION: 1

**Q.**

The banker's discount on a bill due 4 months hence at 15% is Rs. 420. What is the true discount?

Solution:

QUESTION: 2

The banker's discount on a certain amount due 2 years hence is 11/10 of the true discount. What is the rate percent?

Solution:

QUESTION: 3

The present worth of a sum due sometime hence is Rs. 576 and the banker's gain is Rs. 16. The true discount is:

Solution:

QUESTION: 4

What is the banker's discount if the true discount on a bill of Rs.540 is Rs.90 ?

Solution:

QUESTION: 5

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?

Solution:

F = Rs. 3000

R = 10%

Date on which the bill is drawn = 14th July at 5 months

Nominally Due Date = 14th December

Legally Due Date = 14th December + 3 days = 17th December

Date on which the bill is discounted = 5th October

Unexpired Time

= [6th to 31th of October] + [30 Days in November] + [1th to 17th of December]

= 26 + 30 + 17

= 73 Days

= 73/365year = 1/5year

Banker's Discount = Simple Interest on the face value of the bill for unexpired time = FTR/100

= (3000×1/5×10)/100

= 30×1/5×10

= Rs.60

QUESTION: 6

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?

Solution:

BD = Rs.100

TD = Rs.80

R = 10%

F = BD×TD/(BD−TD)

= (100×80)/(100−80)

= (100×80)/20

= Rs.400

BD = Simple Interest on the face value of the bill for unexpired time = FTR/100

⇒ 100 = (400×T×10)/100

⇒ 100 = 4×T×10

⇒ 10 = 4×T

⇒ T = 10/4

= 2.5years

QUESTION: 7

The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 540. What is the banker's discount?

Solution:

QUESTION: 8

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?

Solution:

and

QUESTION: 9

The banker's discount of a certain sum of money is Rs. 36 and the true discount on the same sum for the same time is Rs. 30. What is the sum due?

Solution:

QUESTION: 10

The banker's gain on a bill due 1 year hence at 10% per annum is Rs. 20. What is the true discount?

Solution:

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