Question

Mark (✓) against the correct answer
In what time will Rs 6000 amount to Rs 6360 at 8% per annum simple interest?

(a) 9 months
(b) 8 months
(c) $1\frac{1}{4}$ years
(d) $1\frac{1}{2}$ years

Answer 1

(a) 9 months

$\begin{array}{l}\text{P}=\text{Rs 6}000,\text{A}=\text{Rs 636}0,\text{R}=\text{8}\%\\ \text{S}.\text{I.}=\text{A}-\text{P}\\ =\text{636}0-\text{6}000\\ =\text{Rs}\text{. 36}0\\ \\ \text{T=}\frac{\text{S}\text{.I.×100}}{\text{P×T}}\text{=}\frac{\text{360×100}}{\text{6000×8}}\\ \text{=}\frac{6}{8}\text{years}\\ \text{=}\frac{\text{6}}{\text{8}}\text{×12 months}\\ \text{=}\frac{\text{72}}{\text{8}}\\ \text{=9 months}\end{array}$