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प्रश्न
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
उत्तर
Let the list price be ‘x’
Swastik Distributors gives 15% discount on list price.
∴ Discount = `x xx 15/100` = 0.15x
∴ Net price = x – 0.15x = 0.85x
Further cash discount is given at 5%.
∴ Cash discount = `0.85x xx 5/100` = 0.0425x
∴ Net selling price = 0.85x – 0.0425x = 0.8075x
However, net selling price is ₹ 38,356.25
∴ 0.8075x = 38,356.25
∴ x = `(38,356.25)/0.8075`
∴ x = ₹ 47,500
∴ List price of washing machine is ₹ 47,500.
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संबंधित प्रश्न
What is the present worth of a sum of ₹ 10,920 due six months hence at 8% p.a. 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.
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.
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.
The sum due is also called as ______.
Banker’s gain is simple interest on ______.
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.
The difference between the banker’s discount and true discount is called sum due.
State whether the following statement is True or False.
In general cash discount is more than trade discount.
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 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?
Choose the correct alternative:
The date on which the period of the bill expires is called ______
State whether the following statement is True or False:
The sum due is also called as Cash value
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`
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.
