Question

In what time will Rs. 405 become Rs. 486 at 6 $\%$ per annum simple interest?

• A. 3 year 3 months
• B. 3 year 4 months
• C. 3 year 9 months
• D. 3 year 6 months

Answer 1

Answer: (B)

Here, $\mathrm{P}=$ Rs. $405 ; \mathrm{A}=$ Rs. $486 ; \mathrm{R}=6 \%$ p.a.
$\text { S.I. }=\mathrm{A}-\mathrm{P}=\text { Rs. }(486-405)=\text { Rs. } 81$
Let the time be ' $\mathrm{T}$ ' years
$\therefore \mathrm{T} =\frac{100 \times \text { S.I. }}{\mathrm{P} \times \mathrm{R}}=\frac{100 \times 81}{405 \times 6}=\frac{20}{6}=\frac{10}{3} \text { years } $
$ =3 \frac{1}{3}=3 \text { years } \frac{1}{3} \text { months } $
$ =3 \text { years } 4 \text { months }$