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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.
उत्तर
Let the list price be ‘x’
Swatantra Distributors gives 15% discount on list price.
∴ Discount = `x xx 15/100 = 0.15`x
∴ Net price = x – 0.15x = 0.85x
Further cash discount is given at 5%.
∴ Cash discount = `0.85 x xx 5/100` = 0.0425x
∴ Net selling price = 0.85x – 0.0425x = 0.8075x
However, net selling price is ₹ 38,356.25.
∴ 0.8075 x = 38,356.25
∴ x = `38356.25/0.8075`
∴ x = ₹ 47,500
∴ List price of washing machine is ₹ 47,500.
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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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