A book was sold for rs.27.50 with a profit of 10%.if it were sold for rs.25.75 then what would have been the percentagevof profit or loss
Answers
{\text{A book is sold for Rs}}{\text{. 27}}{\text{.50, with a profit of 10\% }} \hfill \\
\because {\text{Cost price }}\left( {C.P.} \right){\text{ = }}\frac{{100}}{{100 + {\text{Gain\% }}}} \times {\text{S}}{\text{.P}}{\text{.}} \hfill \\
\Rightarrow {\text{Cost price }}\left( {C.P.} \right){\text{ = }}\frac{{100}}{{100 + 10}} \times {\text{27}}{\text{.50}} = \frac{{2750}}{{110}} = {\text{Rs}}{\text{. 25}}{\text{.00}} \hfill \\
{\text{If book is sold for Rs}}{\text{. 25}}{\text{.75}} \hfill \\
\Rightarrow {\text{New gain = S}}{\text{.P}}{\text{.}} - \,{\text{C}}{\text{.P}}{\text{.}}\,{\text{ = }}\,{\text{Rs}}{\text{. 25}}{\text{.75}} - {\text{Rs}}{\text{. 25}}{\text{.00}}\, = \,{\text{Rs}}{\text{. 0}}{\text{.75}} \hfill \\
\Rightarrow {\text{New gain\% }}\,{\text{ = }}\frac{{{\text{S}}{\text{.P}}{\text{.}} - \,{\text{C}}{\text{.P}}{\text{.}}\,}}{{{\text{C}}{\text{.P}}{\text{.}}\,}} \times 100 = \frac{{{\text{0}}{\text{.75}}}}{{{\text{25}}}} \times 100 = 3\% \hfill \\