Advertisements
Advertisements
प्रश्न
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.
उत्तर
Given, Date of drawing = 5th June
Period of the bill = 6 months
∴ Nominal due date = 5th December
Legal due date = 8th December
Date of discounting = 19th October
Cash value (C.V.) = ₹ 43,500 and r = 5%
Now, number of days from the date of discounting to the legal due date are as follows:
| Oct | Nov | Dec | Total |
| 12 | 30 | 8 | 50 |
∴ n = `50/365 = 10/73` years
Let F.V. of the bill be x.
C.V. = F.V. – B.D.
`43,500 = x - ("F.V" xx "n" xx "r")/100`
`43,500 = x - ("x" xx 10/73 xx 5)/100`
`43,500 = x - ("x" xx 10 xx 5)/(73 xx 100)`
`43,500 = x(1 - 1/146)`
`43,500 = x xx 145/146`
x = `43,500 xx 146/145`
x = ₹ 43,800
∴ Face value of the bill is ₹ 43,800.
APPEARS IN
संबंधित प्रश्न
A whole seller allows 25% trade discount and 5% cash discount. What will be the net price of an article marked at ₹ 1,600?
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 ₹ 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?
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.
The difference between face value and present worth is called ______.
State whether the following statement is True or False.
The banker’s discount is always lower than the true discount.
State whether the following statement is True or False.
The bankers discount is also called as commercial discount.
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?
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:
If only one discount is given then List price = Invoice price
Swastik Distributers 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
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 wholesaler allows a 25% trade discount and a 5% cash discount. The net price of an article marked at ₹ 1,600 is ______.
The difference between true discount and banker's discount on a bill due 6 months hence at 4% is ₹ 160. Calculate true discount, banker's discount and amount of bill.
The banker’s discount is also called true discount.
