Advertisements
Advertisements
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. Find the period of the bill.
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 "r")/100`
∴ `70 = (7,000 xx "n"/365 xx 5)/100`
∴ n = `(70 xx 100 xx 365)/(7000 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
∴ Nominal due date = 17 – 3 = 14th September
Date of drawing bill = 14th April.
∴ Period of bill from drawing date is of 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 the present worth of a sum of ₹ 10,920 due six months hence at 8% p.a. simple interest?
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.
Find the true discount, banker’s discount and banker’s gain on a bill of ₹ 4,240 due 6 months hence at 9% p.a.
A bill of ₹ 8,000 drawn on 5th January 1998 for 8 months was discounted for ₹ 7,680 on a certain date. Find the date on which it was discounted at 10% p.a.
A bill drawn on 5th June for 6 months was discounted at the rate of 5% p.a. on 19th October. If the cash value of the bill is ₹ 43,500, find face value of the bill.
Banker’s gain is simple interest on ______.
Trade discount is allowed on the _______ price.
Fill in the Blank.
The banker’s discount is also called _______.
State whether the following statement is True or False.
A person can get both, trade discount and cash discount.
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 bill of ₹ 4,800 was drawn on 9th March 2006 at 6 months and was discounted on 19th April 2006 for `6 1/4`% p.a. How much does the banker charge and how much does the holder receive?
The date on which the bill is drawn is called as ______
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?
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 ₹ 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
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.
