Banker's Discount Questions

• Find time when BD(1600 at 15%) equals TD(1680 at 15%) for same term: The banker’s discount on Rs 1600 at 15% p.a. equals the true discount on Rs 1680 for the same time and rate. Find the time.
• Difference between SI and TD over 6 months at 12.5% is Rs 25: find face value: For a certain sum, the difference between Simple Interest (on the face value) and True Discount for 6 months at 12.5% p.a. equals Rs 25. Find the face value (sum due).
• Choose the better offer (cash vs 8-month credit at 18% p.a.): Vivek has two offers for selling his scooter: (i) Rs 12,000 cash; (ii) Rs 12,880 to be paid after 8 months. If money is worth 18% per annum (simple interest), which offer is better?
• True discount on Rs 440 becomes Rs 40 for a certain time. If the same sum becomes due at double that time, what is the new true discount (approx., to 2 decimals)?
• At 10% p.a. simple interest, the banker’s discount (BD) and true discount (TD) on the same bill for the same time are Rs 100 and Rs 80, respectively. Find the face value (sum due at maturity) and the time.
• The banker’s gain (BG) on a bill due 6 years hence at 12% p.a. simple interest is Rs 540. Find the banker’s discount (BD).
• BD on a certain sum for 3 years is Rs 1116; the true discount on the same sum for 4 years is Rs 1200. Find the simple interest rate (percent per annum).
• Selling the same article at Rs 900 yields a profit equal to twice the loss incurred when selling it at Rs 490. At what price should it be sold to earn a 25% profit?
• Jaspal buys a cow for Rs 3000 and sells to Dharampal the same day for Rs 3600, allowing 2 years’ credit at 10% p.a. simple interest. What is Jaspal’s gain percentage?
• The banker's gain on a certain sum of money, due 2 years hence at 10% per annum simple interest, is Rs 24. What is the present worth (that is, the present value) of this sum?
• The banker's discount on a certain sum due 2 years hence is 11/10 of the true discount. If the transaction is at simple interest, what is the annual rate of interest (rate percent)?
• The banker's discount on a bill of Rs 1650, due a certain time hence, is Rs 165. Find both the true discount and the banker's gain on this transaction.
• The true discount on a certain sum due 6 months (half a year) hence at 15% per annum is Rs 120. What is the banker's discount on the same sum for the same time and at the same rate?
• The banker's discount on Rs 1800 at 12% per annum simple interest is equal to the true discount on Rs 1872 for the same time and at the same rate. Find the time period for which the amounts are due.
• The banker's gain on a bill due 1 year hence at 12% per annum simple interest is Rs 6. What is the true discount on this bill?
• The true discount on a bill of face value Rs 540 is Rs 90. What is the banker's discount on this bill for the same rate and time?
• The banker's gain on a sum due 3 years hence at 12% per annum simple interest is Rs 270. What is the banker's discount on this sum?
• The banker's gain (B.G.) on a certain sum due 4 years hence at 5% simple interest per annum is Rs 200. What is the present worth (present value) of this sum?
• The banker's discount and the true discount on a certain sum at 10% per annum simple interest for the same time are Rs 100 and Rs 80 respectively. Find both the sum (face value) and the time period.
• A bill for Rs 6000 is drawn on July 14 at 5 months. It is discounted on October 5 at 10% per annum simple interest. Find the banker's discount, the true discount, the banker's gain, and the net amount (money) that the holder of the bill receives.