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  • Rajesh sold his scooterto rahim at 8percent losss and rahim,in turn ,sold the same scooter to prem at 5 percent gain. if prem paid rs.14490for the scooter;find: the S.P and C.P of the scooter for rahim and the S.P and C.P of the scooter for rajesh

Rajesh sold his scooterto rahim at 8percent losss and rahim,in turn ,sold the same scooter to prem at 5 percent gain. if prem paid rs.14490for the scooter;find: the S.P and C.P of the scooter for rahim and the S.P and C.P of the scooter for rajesh

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Gain\%=fracsp-cpcp imes 100\*Loss\%=fraccp-spcp imes 100\* Also,;the;cp;for;Rahim;is;equal;to;sp;for;rajesh\* sp;for;rahim=cp;for;prem=14490\*Let;sp;for;rajesh;be;x\* sp;for;rajesh=cp;for;rahim=x\*Let;cp;for;rajesh;be;y\* For;loss;of;8\%\* 8=fracy-xx imes 100\*On;simplfying;we;get,\*Rightarrow x=frac100y108\*For ;5\%;gain,\*5=frac14490-xx imes 100\* Now,;put;value of;x;from;above;equation,;we;get\* 5=frac14490-frac100y108frac100y108\*On;solving;this;we;get,\* y=frac1564920105=14904Rightarrow y=14904\* Now;put;value;of;y;in;x=frac100y108\*Rightarrow x=13800\*Hence,;the;sp;=14490- ;and;cp;=13800-;of;the;scoote; for;rahim;and;the;sp;=13800-;and;cp=14904-;of;the;scooter;for;rajesh.

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Deependra Verma

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