Advertisements
Advertisements
प्रश्न
A bill was drawn on 14th April 2005 for ₹ 3,500 and was discounted on 6th July 2005 at 5% per annum. The banker paid ₹ 3,465 for the bill. Find the period of the bill.
उत्तर
Given, Face value = ₹ 3,500,
Date of drawing = 14th April 2005,
Date of discount = 6th July 2005,
r = 5% p.a.
Cash value = ₹ 3,465
Since, B.D. = F.V. – C.V.
∴ B.D. = 3,500 – 3,465
∴ B.D. = ₹ 35
But, B.D. = interest on F.V. for n years at r % p.a.
i.e. B.D. = `(F.V. xx n xx r)/100`
i.e., `35 = (3,500 xx n xx 5)/100`
i.e., 35 = 35 × n × 5
i.e., 5n = 1
i.e., n = `1/5` year = `1/5 xx 365 = 73` days
∴ Period for which the discount is deducted is 73 days, which is counted from date of discounting i.e., 6th July 2005
| July | Aug | Sept | Total |
| 25 | 31 | 17 | 73 |
∴ Legal due date is 17th September 2005
∴ Nominal due date is 14th September 2005
∴ Period of the bill is from 14th April 2005 to 14th September 2005 i.e., 5 months
∴ Period of the bill is 5 months.
APPEARS IN
संबंधित प्रश्न
Swatantra Distributors allows 15% discount on the list price of washing machine. Further 5% discount is given for cash payment. Find the list price of the washing machine if it was sold for the net amount of ₹ 38,356.25.
What is sum due of ₹ 8,000 due 4 months hence at 12.5% simple interest?
The true discount on a sum is `3/8` of the sum due at 12% p.a. Find the period of the bill.
20 copies of a book can be purchased for a certain sum payable at the end of 6 months and 21 copies for the same sum in ready cash. Find the rate of interest.
True discount on a bill is ₹ 2,200 and bankers discount is ₹ 2,310. If the bill is due 10 months, hence, find the rate of interest.
A bill of ₹ 6,395 drawn on 19th January 2015 for 8 months was discounted on 28th February 2015 at 8% p.a. interest. What is the banker’s discount? What is the cash value of the bill?
Choose the correct alternative.
P is the abbreviation of
Banker’s gain is simple interest on ______.
The marked price is also called as _____________.
Trade discount is allowed on the _______ price.
The banker’s discount is always _______ than the true discount.
The difference between the banker’s discount and the true discount is called _______.
The date by which the buyer is legally allowed to pay the amount is known as _______.
Cash discount is allowed on list price.
The difference between the banker’s discount and true discount is called sum due.
State whether the following statement is True or False.
The banker’s discount is always lower than the true discount.
A bill is drawn for ₹ 7,000 on 3rd May for 3 months and is discounted on 25th May at 5.5%. Find the present worth.
The difference between true discount and banker’s discount on 6 months hence at 4% p.a. is ₹ 80. Find the true discount, banker’s discount and amount of the bill.
A manufacturer makes clear profit of 30% on cost after allowing 35% discount. If the cost of production rises by 20%, by what percentage should he reduce the rate of discount so as to make the same rate of profit keeping his list prices unaltered.
A trader offers 25% discount on the catalogue price of radio and yet makes 20% profit. If he gains ₹ 160 per radio, what must be the catalogue price of the radio?
Choose the correct alternative:
If A bill of ₹ 6,395 drawn on 15th February 2015 for 10 months was discounted on 28th May 2015 at 8% p.a. interest, then legal due date is ______
Choose the correct alternative:
The marked price is also called as ______
State whether the following statement is True or False:
A person can get both, trade discount and cash discount
State whether the following statement is True or False:
The sum due is also called as Cash value
A bill was drawn on 14th April for ₹ 7,000 and was discounted on 6th July at 5% p.a. The Banker paid ₹ 6,930 for the bill. What is the legal due date
A bill of ₹ 8,000 drawn on 5th January 2019 for 8 months was discounted for ₹ 7,680 on a certain date. Find the date on which it was discounted at 10% p.a.
Solution: Banker’s Discount
B.D.= F.V. − C.V. = 8,000 −7,680 = ₹ 320
Date of drawing = 5th January 2019
Period = 8 months
Nominal due date = `square`
Legal due date = `square`
B.D. = Interest on F.V. for n at 10% p.a.
∴ B.D. = `("F.V." xx "n"/365 xx "r")/100`
∴ 320 = `(8000 xx "n"/365 xx 10)/100`
∴ n = `square` days
| April | May | June | July | Aug | Sep | Total |
| 15 | 31 | 30 | 31 | 31 | `square` | `square` |
∴ Date of discounting is `square`
A wholesaler allows a 25% trade discount and a 5% cash discount. The net price of an article marked at ₹ 1,600 is ______.
