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Banker's Discount - General Questions (1)

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  • Banker's Discount - General Questions
1. 
 

 

The banker's discount on a certain sum due 2 years hence is 11 of the true discount.
10

The rate percent is:

A. 11%
B. 10%
C. 5%
D. 5.5%

Answer: Option C

Explanation:

 

Let T.D. be Re. 1.

Then, B.D. = Rs. 11 = Rs. 1.10.
10
 Sum = Rs. 1-sym-oparen-h1 1.10 x 1 1-sym-cparen-h1 = Rs. 1-sym-oparen-h1 110 1-sym-cparen-h1 = Rs. 11.
1.10 - 1 10

 S.I. on Rs. 11 for 2 years is Rs. 1.10

 Rate = 1-sym-oparen-h1 100 x 1.10 1-sym-cparen-h1% = 5%.
11 x 2
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2. 

The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:

A. Rs. 60
B. Rs. 108
C. Rs. 110
D. Rs. 112

Answer: Option B

Explanation:

P.W. = Rs. (540 - 90) = Rs. 450.

 S.I. on Rs. 450 = Rs. 90.

S.I. on Rs. 540 = Rs. 1-sym-oparen-h1 90 x 540 1-sym-cparen-h1 = Rs. 108.
450

 B.D. = Rs. 108.

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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:

A. Rs. 36
B. Rs. 72
C. Rs. 48
D. Rs. 96

Answer: Option D

Explanation:

 

T.D. = √P.W. x B.G. = √576 x 16 = 96.

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4. 
 

 

The banker's gain on a certain sum due 1 1 years hence is 3 of the banker's
2 25

discount. The rate percent is:

A. 5 1/5 %
B. 9 1/11 %
C. 8 1/8 %
D. 6 1/6 %

Answer: Option B

Explanation:

 

Let, B.D = Re. 1.

Then, B.G. = Re. 3 .
25
 T.D. = (B.D. - B.G.) = Re. 1-sym-oparen-h1 1 - 3 1-sym-cparen-h1 = Re. 22 .
25 25
Sum = 1-sym-oparen-h1 1 x (22/25) 1-sym-cparen-h1 = Rs. 22 .
1-(22/25) 3
S.I. on Rs. 22 for 1 1 years is Re. 1.
3 2
 Rate = 1-sym-oparen-h1 100 x 1 1-sym-cparen-h1%
= 100 = 9 1 %.
11 11
22 x 3
3 2
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5. 

The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:

A. Rs. 72
B. Rs. 36
C. Rs. 54
D. Rs. 50

Answer: Option D

Explanation:

 

T.D. = B.G. x 100 = Rs. 1-sym-oparen-h1 6 x 100 1-sym-cparen-h1 = Rs. 50.
R x T 12 x 1
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6. 

The present worth of a certain bill due sometime hence is Rs. 800 and the true discount is Rs. 36. The banker's discount is:

A. Rs. 37
B. Rs. 37.62
C. Rs. 34.38
D. Rs. 38.98

Answer: Option B

Explanation:

 

B.G. = (T.D.)2 = Rs. 1-sym-oparen-h1 36 x 36 1-sym-cparen-h1 = Rs. 1.62
P.W. 800

 B.D. = (T.D. + B.G.) = Rs. (36 + 1.62) = Rs. 37.62

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7. 

The certain worth of a certain sum due sometime hence is Rs. 1600 and the true discount is Rs. 160. The banker's gain is:

A. Rs. 20
B. Rs. 24
C. Rs. 16
D. Rs. 12

Answer: Option C

Explanation:

 

B.G. = (T.D.)2 = Rs. 1-sym-oparen-h1 160 x 160 1-sym-cparen-h1 = Rs. 16.
P.W. 1600
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8. 

The banker's discount of a certain sum of money is Rs. 72 and the true discount on the same sum for the same time is Rs. 60. The sum due is:

A. Rs. 360
B. Rs. 432
C. Rs. 540
D. Rs. 1080

Answer: Option A

Explanation:

 

Sum = B.D. x T.D. = Rs. 1-sym-oparen-h1 72 x 60 1-sym-cparen-h1 = Rs. 1-sym-oparen-h1 72 x 60 1-sym-cparen-h1 = Rs. 360.
B.D. - T.D. 72 - 60 12
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