Advertisements
Advertisements
प्रश्न
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.
उत्तर
Given, B.D. – T.D. = ₹ 80,
n = `6/12 = 1/2` year
r = 4% p.a.
Since, B.G. = B.D. – T.D.
∴ B.G. = ₹ 80
But, B.G. = Interest on T.D. for 6 months `(1/2 "years")` at 4% p.a.
∴ 80 = `"T.D." xx 1/2 xx 4/100`
∴ T.D. = `(80xx2xx100)/4`
∴ T.D. = ₹ 4000
∴ True discount is ₹ 4,000
Also, B.G. = B.D. – x
∴ 80 = B.D. - 4,000
∴ B.D. = 4,000 + 80
∴ B.D. = ₹ 4,080
∴ Banker’s discount is ₹ 4,080.
Again, B.D. = interest on F.V. for n years at r % p.a
i.e., B.D. = `("F.V." xx "n" xx "r")/100`
∴ 4080 = `("F.V" xx 1/2 xx 4)/100`
∴ 4080 × 100 = F.V. × 2
∴ F.V. = `(4080 xx 100)/2`
∴ F.V. = ₹ 204000
∴ True discount, Banker’s discount and Amount of the bill is ₹ 4,000, ₹ 4,080 and ₹ 2,04,000 respectively.
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?
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.
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 ₹ 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 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.
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.
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.
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.
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.
Choose the correct alternative:
The date on which the period of the bill expires is called ______
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 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
The banker’s discount is also called true discount.
