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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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