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
$\therefore \mathrm{T}=\frac{100\times \text{ S.I. }}{\mathrm{P}\times \mathrm{R}}=\frac{100\times 81}{405\times 6}=\frac{20}{6}=\frac{10}{3}\text{ years }$
$=3\frac{1}{3}=3\text{ years }\frac{1}{3}\text{ months }$
$=3\text{ years }4\text{ months }$