A trader bought a number of articles for rs1200.ten were damaged and he sold each of the rest at rs 2 more than what he paid for it,thus getting a profit of rs 60 on the whole transaction.Taking the number of articles he bought as x,form an equation in x and solve.

Asked by nitinkumarsingh.singh.75 | 1st Aug, 2015, 12:52: PM

Expert Answer:

begin mathsize 14px style L e t space t h e space t o t a l space n u m b e r space o f space a r t i c l e s space b o u g h t space b e space x. C o s t space p r i c e space o f space x space a r t i c l e s space equals space R s. space 1200 T h u s comma space cos t space p r i c e space o f space o n e space a r t i c l e equals R s. space 1200 over x A s space 10 space a r t i c l e s space w e r e d a m a g e d comma space t h e space n u m b e r space o f space a r t i c l e s space w i t h space t r a d e r equals x minus 10 S e l l i n g space p r i c e space o f space left parenthesis x minus 10 right parenthesis space a r t i c l e s equals 1200 plus 60 equals 1260 T h u s comma space S P space o f space e a c h space a r t i c l e equals fraction numerator 1260 over denominator x minus 10 end fraction G i v e n space t h a t space fraction numerator 1260 over denominator x minus 10 end fraction minus 1200 over x equals 2 1260 x minus 1200 x plus 12000 equals 2 left parenthesis x right parenthesis left parenthesis x minus 10 right parenthesis 60 x plus 12000 equals 2 x squared minus 20 x 2 x squared minus 80 x minus 12000 equals 0 x squared minus 40 x minus 6000 equals 0 x squared minus 100 x plus 60 x minus 6000 equals 0 x left parenthesis x minus 100 right parenthesis plus 60 left parenthesis x minus 100 right parenthesis equals 0 left parenthesis x minus 100 right parenthesis left parenthesis x plus 60 right parenthesis equals 0 x equals 100 space o r space x equals negative 60 R e j e c t i n g space n e g a t i v e space v a l u e comma space w e space g e t space x equals 100 end style

Answered by Rashmi Khot | 2nd Aug, 2015, 04:12: PM