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प्रश्न
What is the present worth of a sum of ₹ 10,920 due six months hence at 8% p.a. simple interest?
उत्तर
Sum ₹ 10,920, Period(n) = `6/12` years, r = 8% p.a.
To find P.W.
S.D. = P.W. + T.D. …(i)
∴ S.D. = P.W. + `(("P.W." xx "n" xx "r")/100)`
∴ S.D. = P.W. `(1 + ("n" xx "r")/100)`
∴ 10,920 = P.W. `(1 + (6/12)/100 xx 8)`
∴ 10,920 = P.W. `(1 + 4/100)`
∴ 10,920 = P.W. `((100 + 4)/100)`
∴ 10,920 = P.W. `(104/100)`
∴ P.W. = `(10,920 xx 100)/104`
∴ P.W. = 10,500
∴ Present worth of a sum of ₹ 10,920 due six month at 8% p.a. simple interest is ₹ 10,500.
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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.
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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