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By selling an article, a man makes a profit of 25% of its selling price. His profit percent is -
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{
& {\text{Let the S}}{\text{.P}}{\text{. be Rs}}{\text{. }}x. \cr
& {\text{Profit}} = 25\% \cr
& {\text{Then,}} \cr
& {\text{C}}{\text{.P}}{\text{.}} = x - 25\% {\text{ of Rs}}{\text{. }}x \cr
& = 75\% {\text{ of Rs}}{\text{. }}x \cr
& = {\text{Rs}}{\text{.}}\left( {\frac{3}{4}x} \right) \cr
& {\text{Profit}} = {\text{Rs}}.\left( {x - \frac{3}{4}x} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}.\frac{x}{4} \cr
& \therefore {\text{Profit }}\% \cr
& = \left( {\frac{x}{4} \times \frac{4}{{3x}} \times 100} \right)\% \cr
& = 33\frac{1}{3}\% \cr} $$
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