## Banker's Discount

#### Banker's Discount

1. The banker's gain of a certain sum of money is Rs. 36 and the true discount on the same sum for the same time and at the same rate is Rs. 30. The sum is ?
1. Rs. 1080
2. Rs. 180
3. Rs. 500
4. Rs. 300

1. Sum = (B.D. x T.D.) / (B.D. - T.D.)

##### Correct Option: B

Sum = (B.D. x T.D.) / (B.D. - T.D.) = Rs. (36 x 30) / 6
= Rs. 180

1. The banker's gain of a certain sum due 2 years hence at 5% per annum is Rs. 80. The present worth is ?
1. Rs. 800
2. Rs. 1600
3. Rs. 1200
4. Rs. 880

1. T.D. = (B.G. X 100) / (Rate x Time)

##### Correct Option: A

T.D. = (B.G. X 100) / (Rate x Time)
= Rs. (80 x 100) / (5 x 2)
= Rs. 800

1. The present worth of a certain due sometime hence is Rs. 1600 and the true discount is Rs. 160. The banker's gain is ?
1. Rs. 10
2. Rs. 16
3. Rs. 20
4. Rs. 24

1. B.G. = (T.D.)2 / P.W.

##### Correct Option: B

B.G. = (T.D.)2 / P.W.
= Rs. (160 x 160) / 1600
= Rs. 16

1. The banker's gain on a sum due 3 years hence at 5% is Rs. 90. The banker's discount is ?
1. Rs. 690
2. Rs. 720
3. Rs. 810
4. Rs. 150

1. T.D. = (B.G. x 100) / (R x T)

##### Correct Option: A

T.D. = (B.G. x 100) / (R x T) = Rs. (90 x 100) / (5 x 3)
= Rs. 600
∴ B.D. = Rs. (600 +90) = Rs. 690

1. The banker's discount on a bill due 6 months hence at 6% is Rs. 37.08. The true discount is ?
1. Rs. 6.18
2. Rs. 12.36
3. Rs. 48
4. Rs. 36

1. T.D. = (B.D. X 100) / {100 + (R X T)}

##### Correct Option: D

T.D. = (B.D. X 100) / {100 + (R X T)}
= Rs. (37.08 x 100) / {100 + (6 x 1/2)}
= Rs. 36