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# True discount on the sum due 8 months hence at 12% p.a. is ₹ 560. Find the sum due and present worth of the bill. - Mathematics and Statistics

Sum

True discount on the sum due 8 months hence at 12% p.a. is ₹ 560. Find the sum due and present worth of the bill.

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#### Solution

True discount (T.D.) = ₹ 560

Period (n) = 8/12 years

r = 12%

To find Present Worth (P.W.)

T.D. = ("P.W." xx "n" xx "r")/100

560 = ("P.W." xx 8/12 xx 12)/100

560 = ("P.W." xx 8)/100

P.W. = (560 xx 100)/8

P.W. = 7000

To find sum due

S.D. = P.W. + T.D.

= 7,000 + 560

= 7,560

∴ Present worth ₹ 7,000 and sum due is ₹ 7,560.

Concept: Discount
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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 1 Commission, Brokerage and Discount
Exercise 1.2 | Q 3 | Page 11
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