Q.6 (A) (i) The true discount on a sum is 3/8 of the sum due at 12% p.a. Find the period of the bill.

Answer: 5 years Let the sum due be A . Then T.D. =3/8A and present worth P.W. =A-3/8A=5/8A . T.D. is the simple interest on P.W.: 3/8A=5/8A×12× n/100 3=5× 0.12n=0.6n⇒ n=5 The period of the bill is 5 years.

The true discount on a sum is \(\frac{3}{8}\) of the sum due at 12% p.a. Find the period of the bill.

Q.6 (A) (i) The true discount on a sum is \(\frac{3}{8}\) of the sum due at 12% p.a. Find the period of the bill.

Doubtly Asked 28 Oct 2026 Board exam · March 2026 hsc 12th Save WhatsApp Report

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Answer: 5 years

Let the sum due be \(A\). Then T.D. \(=\frac{3}{8}A\) and present worth P.W. \(=A-\frac{3}{8}A=\frac{5}{8}A\).

T.D. is the simple interest on P.W.: \(\frac{3}{8}A=\frac{5}{8}A\times\frac{12\times n}{100}\)

\(3=5\times 0.12n=0.6n\Rightarrow n=5\)

The period of the bill is 5 years.

Doubtly AI · 28 Oct 2026 AI-verified · Oct 2026 Report

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The true discount on a sum is \(\frac{3}{8}\) of the sum due at 12% p.a. Find the period of the bill.

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