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प्रश्न
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?
उत्तर
Let the catalogue (list) price of the radio be ₹ 100.
The trader offers 25% discount on the catalogue price.
∴ Trade discount = 25% of catalogue price
= 25% of ₹ 100
`= 25/100 xx 100`
∴ Trade discount = ₹ 25
Now, Selling price = Catalogue price – Trade discount
= 100 - 25 = ₹ 75
Also, he gets 20% profit.
Let the cost price be ₹ 100,
∴ Selling price = Cost price + Profit
= 100 + 20% of cost price
`= 100 + 20/100 xx 100`
= 100 + 20
= ₹ 120
∴ For selling price of ` 75,
Cost price = `(100 xx 75)/120` = ₹ 62.5
∴ Profit = Selling price – Cost price
= 75 - 62.5
∴ Profit = ₹ 12.5
Now, if the catalogue price is ` 100, then profit is ₹ 12.5.
∴ For profit of ₹ 160
Catalogue price = `(100 xx 160)/12.5` = ₹ 1280
∴ Catalogue price of the radio is ₹ 1,280.
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संबंधित प्रश्न
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.
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.
Choose the correct alternative.
P is the abbreviation of
Fill in the Blank.
An _______ is an agent who sells the goods by auction.
Trade discount is allowed on the _______ price.
The difference between the banker’s discount and the true discount is called _______.
Cash discount is allowed on list price.
State whether the following statement is True or False.
In general cash discount is more than trade discount.
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.
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?
Choose the correct alternative:
If A bill of ₹ 6,395 drawn on 15th February 2015 for 10 months was discounted on 28th May 2015 at 8% p.a. interest, then legal due date is ______
Choose the correct alternative:
The marked price is also called as ______
State whether the following statement is True or False:
The sum due is also called as Cash value
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 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 banker’s discount is also called true discount.
