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प्रश्न
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.
उत्तर
Catalogue price (list price) is ₹ 5,500 per price of mixer.
Merchant buys the mixer at a discount of 15%.
∴ Purchase price = List price – Discount
`= 5,500 - 5,500 xx 15/100`
= 5,500 - 825
= ₹ 4,675
Freight charges are at `2 1/2`% which is 2.5% of catalogue price
∴ Freight = `5,500 xx 2.5/100` = ₹ 137.5
Total cost = Purchase price + Freight
= 4,675 + 137.5 = ₹ 4,812.5
Merchant sells each mixer at 5% discount on catalogue price.
Net selling price = Catalogue price – Discount
`= 5,500 - 5,500 xx 5/100`
= 5,500 – 275 = ₹ 5,225
Profit per mixer = Net selling price – Cost
= 5,225 – 4,812.5
= 412.50
Total profit earned is ₹ 41,250
Number of mixers sold = `"Total profit"/"Profit per mixer"`
`= 41250/412.5`
= 100
100 mixers were sold by merchant to earn
₹ 41,250 as net profit.
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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.
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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`
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