Home > Practice > Arithmetic Aptitude > Banker's Discount > Miscellaneous
1. The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:

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

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

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Solution:
T.D.=B.G.×100Rate×Time=Rs.(24×10010×2)=Rs.120P.W.=100×T.D.Rate×Time=Rs.(100×12010×2)=Rs.600
4. The banker's discount on a sum of money for 112 years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:

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Solution:
B.D.for32years=Rs.558B.D.for 2years=Rs.(558×23×2)=Rs.744T.D.for2years=Rs.600Sum=B.D.×T.D.B.D.T.D.=Rs.(744×600144)=Rs.3100Thus,Rs.744isS.I.onRs.3100for2years.Rate=(100×7443100×2)%=12%
5. The banker's gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker's discount is:

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Solution:
T.D.=B.G.×100R×T=Rs.(270×10012×3)=Rs.750B.D.=Rs.(750+270)=Rs.1020
6. 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:

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

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Solution:
B.G.=(T.D.)2P.W.=Rs.(160×1601600)=Rs.16
8. 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:

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Solution:
B.G.=(T.D.)2P.W.=Rs.(36×36800)=Rs.1.62B.D.=(T.D.+B.G.)=Rs.(36+1.62)=Rs.37.62
9. The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:

Discuss
Solution:
T.D.=B.G.×100R×T=Rs.(6×10012×1)=Rs.50
10. The banker's gain on a certain sum due 112 years hence is 325 of the banker's discount. The rate percent is:

Discuss
Solution:
Let,B.D.=Rs.1Then,B.G.=Re.325T.D. = (B.D. - B.G.)=Rs.(1325)=Rs.2225Sum=1×222512225=Rs.223S.I.onRs.223for112yearsisRs.1Rate=(100×1223×32)%=919%