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प्रश्न
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
उत्तर
Face value (F.V.) = 7,000
Cash value (C.V.) = 6,930
Banker’s discount (B.D.) = F.V. – C.V.
= 7,000 – 6,930
= 70
Date of drawing bill = 14th April
Date of discounting bill = 6th July
We know that,
Banker’s discount = `("F.V." xx "n"/365 xx 5)/100`
∴ 70 = `(7,000 xx "n"/365 xx 5)/100`
∴ n = `(70 xx 100 xx 365)/(7,000 xx 5)`
∴ n = 73
To calculate period of bill, we have to calculate 73 days from date of bill discounting.
| July | August | September | Total |
| 25 | 31 | 17 | 73 days |
∴ Legal due date = 17th September
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संबंधित प्रश्न
The true discount on a sum is `3/8` of the sum due at 12% p.a. Find the period of the bill.
If difference between true discount and banker’s discount on a sum due 4 months hence is ₹ 20. Find true discount, banker’s discount and amount of bill, the rate of simple interest charged being 5%p.a.
A bill of ₹ 51,000 was drawn on 18th February 2010 for 9 months. It was encashed on 28th June 2010 at 5% p.a. Calculate the banker’s gain and true discount.
Choose the correct alternative.
P is the abbreviation of
The marked price is also called as _____________.
Fill in the Blank.
A person who draws the bill is called _______.
Fill in the Blank.
An _______ is an agent who sells the goods by auction.
_______ = List price (catalogue Price) – Trade Discount.
Cash discount is allowed on list price.
State whether the following statement is True or False.
The date on which the period of the bill expires is called the nominal due date.
An article is marked at ₹ 800, a trader allows a discount of 2.5% and gains 20% on the cost. Find the cost price of the article.
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?
A bill of ₹ 65,700 drawn on July 10 for 6 months was discounted for ₹ 65,160 at 5% p.a. On what day was the bill discounted?
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
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`
The banker’s discount is also called true discount.
