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The difference between the banker’s discount and the true discount is called _______. - Mathematics and Statistics

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प्रश्न

The difference between the banker’s discount and the true discount is called _______.

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उत्तर

The difference between the banker’s discount and the true discount is called bankers gain.

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अध्याय 1: Commission, Brokerage and Discount - Miscellaneous Exercise 1 [पृष्ठ १२]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 1 Commission, Brokerage and Discount
Miscellaneous Exercise 1 | Q 2.06 | पृष्ठ १२

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?


What is sum due of ₹ 8,000 due 4 months hence at 12.5% simple interest?


True discount on the sum due 8 months hence at 12% p.a. is ₹ 560. Find the sum due and present worth 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.


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?


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 of a certain sum drawn on 28th February 2007 for 8 months was encashed on 26th March 2007 for ₹ 10,992 at 14% p.a. Find the face value of the bill.


Fill in the Blank.

The banker’s discount is also called _______.


Fill in the Blanks.

If buyer is allowed both trade and cash discounts, _______ discount is first calculated on _______ price.


State whether the following statement is True or False.

Trade discount is allowed on catalogue 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.


A merchant buys some mixers at 15% discount on catalogue price. The catalogue price is ₹ 5,500 per piece of a mixer. The freight charges amount to `2 1/2` % on the catalogue price. The merchant sells each mixer at 5% discount on catalogue price. His net profit is ₹ 41,250. Find a number of mixers.


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.


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 ₹ 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 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.


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