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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

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. - Mathematics and Statistics

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प्रश्न

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`

तक्ता
बेरीज

उत्तर

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 = 5th September 2019

Legal due date = 8th September 2019

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 = 146 days

April May June July Aug Sep Total
15 31 30 31 31 8 146

∴ Date of discounting is 15th April 2019

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2.1: Commission, Brokerage and Discount - Q.6

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