Business Mathematics and Statistics · Class 11 Commerce
Ch 6Discounting of Bills of Exchange — Class 11 Business Mathematics and Statistics, concept-first.
A bill of exchange is a written, unconditional order signed by one person directing another person to pay a stated sum of money to a named party, either on demand or at a fixed future date.
Key concepts
Hover a concept to preview it and jump to its most relevant Q&A.
Banker's Gain
The banker's gain is the excess of banker's discount over true discount, . It equals the simple interest on the true discount, and also . Useful reversals: , , and .
Most relevant Q&A
- The banker's discount and the true discount on a certain sum due at the end of a period are ₹100 and ₹80 respectively. Find (i) the face val…Free
- The true discount on a bill is ₹90 and the banker's gain is ₹10. Find (i) the present value, (ii) the face value and (iii) the banker's disc…Free
- State, with reason, whether the following is true or false: "For any bill discounted before maturity, the banker's discount is always greate…Preview
- For the bill of ₹10,000 due 6 months hence at 8% per annum, find the banker's gain.Preview
- The present value of a bill is ₹1,500 and its true discount is ₹60. Find (i) the banker's gain and (ii) the banker's discount.Preview
Chapter contents
The NCERT structure, section by section. Open a section to see its questions, then read the concept-first solution.
Bills of Exchange — Concept and Features
A bill of exchange is a written, unconditional order signed by one person directing another person to pay a stated sum of money to a named party, either on demand or at a fixed future date.
Important Terms — Demand Bill, Time Bill, Days of Grace, Due Date
Before any discounting can be calculated, the exact date on which the bill must be paid has to be fixed.
Banker's Discount and Discounted Value (Proceeds)
When a banker discounts a bill, the charge deducted is called the banker's discount (BD). It is simply the simple interest on the face value of the bill, calculated for the unexpired period at the agr…
True Discount and Present Value
The present value (PV) of a bill is the amount which, if lent out today at the given rate of simple interest, would grow to exactly the face value by the maturity date.
Banker's Gain and Formula Relationships
The banker's gain (BG) is the extra amount the banker makes by charging discount on the full face value instead of on the present value.
Exercises
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- Q8The banker's discount and the true discount on a certain sum due at the end of a period are ₹100 and ₹80 respectively. Find (i) the face val…Free
- Q9The true discount on a bill is ₹90 and the banker's gain is ₹10. Find (i) the present value, (ii) the face value and (iii) the banker's disc…Free
- Q10The true discount on a bill of ₹2,050 due after 6 months is ₹50. Find the rate of interest per annum.Preview
- Q11State, with reason, whether the following is true or false: "For any bill discounted before maturity, the banker's discount is always greate…Preview
- Q12The banker's discount on a bill due 9 months hence at 8% per annum is ₹600. Find the face value of the bill.Preview
More questions
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- Example 1A bill drawn on 5 January 2023 is payable 3 months after date. Find its nominal due date and its legally due date (date of maturity).Free
- Example 2A bill of ₹10,000 is due 6 months hence. It is discounted with a banker at 8% per annum. Find (i) the banker's discount and (ii) the discoun…Free
- Example 3For the same bill of ₹10,000 due 6 months hence at 8% per annum, find (i) the true discount and (ii) the present value of the bill.Free
- Example 4For the bill of ₹10,000 due 6 months hence at 8% per annum, find the banker's gain.Preview
- Example 5The present value of a bill is ₹1,500 and its true discount is ₹60. Find (i) the banker's gain and (ii) the banker's discount.Preview
- Example 6Find the banker's discount and the proceeds on a bill of ₹6,000 that has 4 months still to run, discounted at 6% per annum.Preview
- Example 7A bill for ₹7,300 is drawn on 4 May 2023 for 3 months. It is discounted on 4 June 2023 at 10% per annum. Find (i) the legally due date, (ii)…Preview