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Mahesh sells an article to David …

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Mahesh sells an article to David at aprofit of 8%, David sells it to mukesh at a loss of 5%.If Mukesh paid Rs 51700, how much did it cost to mahesh.

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Rupender Singh 6 years, 10 months ago

{tex}\eqalign{ & Let\,the\,C.P.\,ofarticle\,for\,Mahesh\,be\,Rs.\,100 \cr & \,the\,S.P.\,of\,article\,for\,Mahesh\,at\,8\% \,profit\, = \,Rs.\,(100\, + \,8)\, = \,Rs.\,108 \cr & Mahesh\,sells\,article\,to\,David\,at\,Rs.\,108 \cr & So,\,the\,C.P.\,ofarticle\,for\,David\,is\,Rs.\,108 \cr & Now,\,David\,sells\,the\,article\,to\,Mukesh\,at\,5\% \,loss. \cr & So,\,S.P.\,of\,article\,for\,David\,at\,5\% \,loss\, = \,\left( {{{100\, - \,loss\% } \over {100}}} \right)\, \times \,C.P.\, = \,\left( {{{100\, - \,5} \over {100}}} \right)\,108\, = \,{{95} \over {100}}\, \times \,108\, = \,Rs.\,102.60 \cr & It\,means\,Mukesh\,paid\,Rs.\,102.60\,to\,David. \cr & Now,\,C.P.\,of\,article\,for\,Mahesh\,is\,Rs.\,100,\,when\,Mukesh\,pays\,Rs.\,102.60\,to\,David. \cr & If\,Mukesh\,pays\,Rs.\,51700\,to\,David,\,than\,C.P.\,of\,article\,for\,Mahesh\,will\,be\, = \,{{51700\, \times \,\,100} \over {102.60}}\, = \,Rs.\,50389.86 \cr} {/tex}

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