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If loss is $$\frac{1}{3}$$ of S.P., the loss percentage is -
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& {\text{Let S}}{\text{.P}}{\text{.}} = {\text{Rs}}.\,x \cr
& {\text{Then,}} \cr
& {\text{Loss}} = {\text{Rs}}.\frac{x}{3} \cr
& {\text{C}}{\text{.P}}{\text{.}} = {\text{Rs}}.\left( {x + \frac{x}{3}} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}.\frac{{4x}}{3} \cr
& \therefore {\text{Loss }}\% \cr
& = \left( {\frac{x}{3} \times \frac{3}{{4x}} \times 100} \right)\% \cr
& = 25\% \cr} $$
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