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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.
उत्तर
Given, T.D. = ₹ 2,200, B.D. = ₹ 2,310
n = 10 months = `10/12 = 5/6` years
r = ?
B.D. = T.D. + Interest on T.D.
∴ 2,310 = 2,200 + `(2200 xx "n" xx "r")/100`
∴ 2,310 - 2,200 = `(22cancel(00)xx5/6xx"r")/(1cancel(00))`
∴ 110 = `(22 xx 5 xx "r")/6`
∴ `110 xx 6 = 22 xx 5 xx "r"`
∴ r = `(110 xx 6)/(22 xx 5)`
∴ r = 6%
∴ The rate of interest is 6% 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`
