A dealer sells an article for …
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Rashmi Bajpayee 6 years, 9 months ago
Let the C.P. of the article be Rs.{tex}x {/tex}
Then according to question, gain = {tex}x {/tex}%
Therefore,
C.P. + Gain = S.P.
=> {tex}x + x\% {\rm\\ {\ of }}\ x = 24{/tex}
=> {tex}x + {x \over {100}} \times x = 24{/tex}
=> {tex}x + {{{x^2}} \over {100}} = 24{/tex}
=> {tex}{x^2} + 100x - 2400 = 0{/tex}
=> {tex}{x^2} + 120x - 20x - 2400 = 0{/tex}
=> {tex}x\left( {x + 120} \right) - 20\left( {x + 120} \right) = 0{/tex}
=> {tex}\left( {x - 20} \right)\left( {x + 120} \right) = 0{/tex}
=> {tex}x -20=0{/tex} or {tex}x +120=0{/tex}
=> {tex}x = 20{/tex} or {tex}x = -120{/tex} [Neglected]
Therefore, the C.P. of the article is Rs.20
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