Discounting is a financial mechanism in which a debtor obtains the right to delay payments to a creditor, for a defined period of time, in exchange for a charge or fee. Essentially, the party that owes money in the present purchases the right to delay the payment until some future date. The discount, or charge, is the difference between the original amount owed in the present and the amount that has to be paid in the future to settle the debt.
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Note: When the date of bill is not given, grace days are not to be added.
Let F = Face Value of the Bill, TD = True Discount, BD = Bankers Discount, BG = Banker’s Gain, R = Rate of Interest, PW = True Present Worth and T = Time in Years
“>=(PW ×TR/100)=(FTR/100+TR)
“>BD×100)/(100+TR)
“>BD×TD)/(BD – TD)
“>(TD)^2/PW
“>√(PW×BG)
“>BG×100)/TR
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The banker’s discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:
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:
The banker’s gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:
The banker’s discount on a sum of money for 1(1/2) years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is:
The banker’s gain on a sum due 3 years hence at 12% per annum is Rs. 270. The banker’s discount is:
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?
The present worth of a bill due sometime hence is Rs. 1100 and the true discount on the bill is Rs. 110. Find the banker’s discount and the banker’s gain.
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:
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 :
The present wort of a sum due sometime hence is Rs. 576 and the banker’s gain is Rs. 16. The true discount is :a
The banker’s gain on a certain sum due 1½ years hence is 3/25 of the banker’s discount. The rate percent is :
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 :
The Banker’s gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:
The present worth of a certain sum due sometime hence is Rs. 1600 and the true discount is Rs. 160. Then banker’s gain is:
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A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:
The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is:
A trader owes a merchant Rs. 10,028 due 1 year hence. The trader wants to settle the account after 3 months. If the rate of interest 12% per annum, how much cash should he pay?
A man wants to sell his scooter. There are two offers, one at Rs. 12,000 cash and the other a credit of Rs. 12,880 to be paid after 8 months, money being at 18% per annum. Which is the better offer?
If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is: