The banker’s gain on a certain sum due 5/2 years hence is 9/25 of the banker’s discount. What is the rate percent?
Answer: D
T = 5/2 year
Let the banker’s discount, BD = Rs.1
Then, banker’s gain, BG = (9/25)*1 = Rs. 9/25
BG = BD-TD
=> 9/25 = 1-TD
=> TD = 1-9/25 = 16/25
F = BD*TD/(BD-TD)
= (1*16/25)/(1-(16/25)) (16/25)/(9/25) = Rs. 16/9
BD = simple interest on the face value of the bill for unexpired time = FTR/100
=> 1 = (16/9)*(5/2)*R/100
=> 100 = (16/9)*(5/2)*R
=> 100 = 16*5*R/9*2
=> 100 = 8*5*R/9
=> R = 100*9/8*5
= 100*9/40 = 5*9/2 = 45/2 = 22 1/2 %
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The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:
Answer: C
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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:
Answer: C
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The banker's gain on a certain sum due 3/2 years hence is 3/25 of the banker' discount. The rate percent is:
Answer: B
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The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:
Answer: B
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If the true discount on a certain sum due 6 months hence at 15% is Rs. 120, what is the banker’s discount on the same sum for the same time and at the same rate?
Answer: B
B.G. = S.I. on T.D. = Rs.(120 * 15 * (1/2) * (1/100)) = Rs. 9.
(B.D.) – (T.D.) = Rs. 9.
B.D. = Rs. (120 + 9) = Rs. 129.
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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. The time is
Answer: B
S.I. on Rs. 1600 = T.D. on Rs. 1680.
=> Rs. 1600 is the P.W. of Rs. 1680,
=> Rs. 80 is S.I. on Rs. 1600 at 15%.
=> 80 = 1600*T*15/100
=> 80 = 16*T*15
=> 5 = T*15
=> T = 1/3 year = 12/3 months
= 4 months
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The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:
Answer: D
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The present worth of a sum due sometime hence is Rs. 576 and the banker's gain is Rs. 16. The true discount is:
Answer: D
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The banker’s gain of a certain sum due 3 years hence at 10% per annum is Rs. 27. The present worth is:
Answer: C
T = 3 years
R = 10%
TD = BG * 100/TR = 27*100/3*10 = 9*10 = Rs. 90
TD = PW * TR/100
=> 90 = PW *3*10/100
=> 900 = PW *3
PW = 900/3 = Rs. 300
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