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The true discount on a sum is 38 of the sum due at 12% p.a. Find the period of the bill. - Mathematics and Statistics

Sum

The true discount on a sum is `3/8` of the sum due at 12% p.a. Find the period of the bill.

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Solution

Given, T.D. =`3/8 xx`S.D.

∴ T.D. = `3/8 xx ("P.W." + "T.D.")`

∴ `8/3` T.D. = P.W. + T.D.

∴ P.W. = `8/3` T.D. - T.D.

∴ P.W. = `5/3` T.D.

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

∴ T.D. =`(5/3 "T.D." xx"n" xx 12)/100`

∴ T.D. = `(5  "T.D." xx "n" xx 12)/(3 xx 100)`

∴ n = `("T.D." xx 3 xx 100)/(5  "T.D." xx 12)`

∴ n = 5 years

∴ Period of the bill is 5 years.

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 4 | Page 11
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