# What is the present worth of a sum of ₹ 10,920 due six months hence at 8% p.a. simple interest? - Mathematics and Statistics

Sum

What is the present worth of a sum of ₹ 10,920 due six months hence at 8% p.a. simple interest?

#### Solution

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.

Concept: Discount
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Chapter 1: Commission, Brokerage and Discount - Exercise 1.2 [Page 11]

#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 1 Commission, Brokerage and Discount
Exercise 1.2 | Q 1 | Page 11
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