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प्रश्न
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.
उत्तर
Article is marked at ₹ 800.
Discount at 2.5% on ₹ 800 = `800 xx 2.5/100` =
₹ 20
∴ Selling price = Marked price – Discount
= 800 - 20 = ₹ 780
Trader gains 20% profit on cost.
∴ If the cost price is ₹ 100, then selling price will
₹ 120.
We need to find cost, for selling price = 780
Cost price will be
100 → 120
? → 780
∴ Cost price = `(780 xx 100)/120` = 650
∴ The cost of the article is ₹ 650.
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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.
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.
When only one discount is given, then ______
The banker’s discount is always _______ than the true discount.
The date by which the buyer is legally allowed to pay the amount is known as _______.
_______ = List price (catalogue Price) – Trade Discount.
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 banker’s discount is always lower than the true discount.
State whether the following statement is True or False.
In general cash discount is more than trade discount.
State whether the following statement is True or False.
A person can get both, trade discount and cash 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.
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?
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?
The difference between the ______ and the true discount is called Banker’s Gain (B.G). It is equal to the interest on true discount
State whether the following statement is True or False:
A person can get both, trade discount and cash discount
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`
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.
