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Bankers-Discount
1.The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:

Answer:Option 1

Explanation:

Solution:
T.D.=B.D.×100100+(R×T)=Rs.[420×100100+(15×13)]=Rs.(420×100105)=Rs.400.

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2.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:Option 1

Explanation:

Solution:
S.I.onRs.1600 = T.D.onRs.1680.Rs.1600istheP.W.ofRs.1680,i.e.,Rs.80isonRs.1600at15%.Time=(100×801600×15)year=13year=4months.

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3.The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:

Answer:Option 1

Explanation:

Solution:
T.D.=(B.G.×100Rate×Time)=Rs.(24×10010×2)=Rs.120.P.W.=100×T.D.Rate×Time=Rs.(100×12010×2)=Rs.600.

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4.The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:

Answer:Option 1

Explanation:

Solution:
T.D.=(B.G.×100R×T)=Rs.(270×10012×3)=Rs.750.B.D.=Rs.(750+270)=Rs.1020.

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5.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:

Answer:Option 1

Explanation:

Solution:
B.D.×T.D.B.D.T.D.=Rs.(72×607260)=Rs.(72×6012)=Rs.360.

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6.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:Option 1

Explanation:

Solution:
B.G.=(T.D.)2P.W.=Rs.(160×1601600)=Rs.16.

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7.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:

Answer:Option 1

Explanation:

Solution:
B.G.=(T.D.)2P.W.=Rs.(36×36800)=Rs.1.62.B.D.=(T.D.+B.G.)=Rs.(36+1.62)=Rs.37.62

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8.The banker's gain on a certain sum due 11/2 years hence is 3/25 of the banker's discount. The rate percent is:

Answer:Option 1

Explanation:

Solution:
Let,B.D.=Re.1.Then,B.G.=Re.325.T.D. = (B.D. - B.G.)=Re.(1325)=Re.2225.Sum=(1×(22/25)1(22/25))=Rs.223.S.I.onRs.223for112yearsisRe.1.Rate=(100×1223×32)%=10011%=9111%

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9.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:Option 1

Explanation:

Solution:
T.D.=P.W.×B.G.=576×16=96

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

Answer:Option 1

Explanation:

Solution:
P.W.=Rs.(54090)=Rs.450.S.I.onRs.450=Rs.90.S.I.onRs.540=Rs.(90450×540)=Rs.108B.D.=Rs.108.

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