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Q:

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

A) 108 B) 115
C) 100 D) 120
 
Answer & Explanation Answer: A) 108

Explanation:

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

S.I. on Rs. 450 = Rs. 90.

S.I. on Rs. 540 = Rs.( 90 /450)x 540 = Rs. 108.

B.D. = Rs. 108.

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Q:

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) 78 B) 96
C) 105 D) 85
 
Answer & Explanation Answer: B) 96

Explanation:

T.D. = P.W. x B.G. = 576 x 16 = 96.

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Q:

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

is:

A) 62 B) 58
C) 47 D) 50
 
Answer & Explanation Answer: D) 50

Explanation:

T.D. =(B.G. x 100)/ (R x T)= Rs. (6 x 100)/( 12 x 1) = Rs. 50.

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Q:

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) 15 B) 16
C) 14 D) 13
 
Answer & Explanation Answer: B) 16

Explanation:

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

      = Rs. (160*160)/1600 = Rs. 16.

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Q:

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) 290 B) 480
C) 360 D) 420
 
Answer & Explanation Answer: C) 360

Explanation:

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

       = Rs. (72 x 60) / (72 - 60)

       = Rs. (72 x 60) /12

       = Rs. 360.

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Q:

The bankers gain of a certain sum due 2 years hence at 10% per annum is Rs 24 .The percent worth is

A) 400 B) 800
C) 500 D) 600
 
Answer & Explanation Answer: D) 600

Explanation:

T.D = (B.G * 100) / (Rate * Time)

(24*100) / (10 * 2)

= 120.

 

P.W = (100 *T.D) / (Rate * Time)

= (100 * 120) /(10 * 2)

= 600

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Q:

The bankers discount and true discount on a sum of money due 8 months hence are Rs.120 & Rs.110 resp. Find the sum.

A) 1457 B) 1320
C) 1140 D) 1260
 
Answer & Explanation Answer: B) 1320

Explanation:

Sum = (B.D * T.D) / (B.D) -(T.D)

= (120 * 110) / (120 -110)

= 1320

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Q:

The bankers discount on Rs 1800 at 12 % per annum is equal to the true discount on Rs 1872 for the same time at the same rate .Find the time.

A) 4 months B) 5 months
C) 6 months D) 3 months
 
Answer & Explanation Answer: A) 4 months

Explanation:

S.I on Rs 1800 = T.D on Rs 1872

P.W of Rs 1872 is Rs 1800

Rs 72 is S.I on Rs 1800 at 12%

Time = (100 * 72)/(12 * 1800)

= 1/3 years = 4 months

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Filed Under: Banker's Discount