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प्रश्न
What is sum due of ₹ 8,000 due 4 months hence at 12.5% simple interest?
उत्तर
Present worth (P.W.) = ` 8,000
Period (n) = `4/12` years
r = 12.5%
T.D. = `("P.W." xx "n" xx "r")/100`
`= (8000 xx 4/12 xx 12.5)/100`
`= (8000 xx 4.17)/100`
= ₹ 333
Sum due (S.D.) = P.W. + T.D
= 8000 + 333 = 8333
∴ Sum due is ₹ 8,333.
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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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