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bdkbZ 3 % miHkksDrk fl¼karμx.kukokpd mi;ksfxrk fo'ys"k.k





          (;wfVy) oqQy mi;ksfxrk izkIr gksxhA ;g oqQy mi;ksfxrk vk; osQ igys forj.k ls izkIr oqQy mi;ksfxrk dh  uksV
          rqyuk esa 2 bdkb;k¡ de gSaA vr% miHkksDrk dh vk; dk nwljk forj.k mruh larqf"V ugha nsxk ftruh ml
          forj.k ls izkIr gksxh ftlesa fofHkUu oLrqvksa ij [kpZ dh xbZ #i;s dh vafre bdkb;ksa ls leku lhekar
          mi;ksfxrk izkIr gksrh gSA le lhekar mi;ksfxrk fu;e dks fp=k 3-4 }kjk Li"V fd;k tk ldrk gSA
          mijksDr fp=k 3-4(A) rFkk 3-4 (B) esa OX- v{k ij #i;ksa dh bdkb;k¡ rFkk OY- v{k ij lhekar mi;ksfxrk
          izdV dh xbZ gSA fp=k 3-4(A) esa vkeksa osQ miHkksx ls feyus okyh lhekar mi;ksfxrk rFkk fp=k 3-4(B) esa
          nwèk ls feyus okyh lhekar mi;ksfxrk dks fn[kk;k x;k gSA bl fp=k ls izdV gksrk gS fd ;fn miHkksDrk dh
          vk; 5-00 #i;s gS rks og 3-00 #i;s vkeksa ij rFkk 2-00 #i;s nwèk ij [kpZ djsxk D;ksafd vkeksa ij [kpZ
          fd, x, rhljs #i;s ls rFkk nwèk ij [kpZ fd, x, nwljs #i;s ls mls leku mi;ksfxrk vFkkZr~ 8 bdkb;k¡ izkIr
          gks jgh gSaA fp=k 3-4 esa fcanq js[kk (Dotted Line ......) nksuksa oLrqvksa ij [kpZ dh xbZ #i;s dh vafre bdkbZ
          ls feyus okyh leku lhekar mi;ksfxrk dks izdV dj jgh gSA viuh vk; dk bl izdkj vkeksa rFkk nwèk ij
          forj.k djus ij miHkksDrk dks 48 bdkb;k¡ oqQy mi;ksfxrk izkIr gks jgh gSaA miHkksDrk dks 5-00 #i;s osQ [kpZ
          ls izkIr gksus okyh ;g vfèkdre oqQy mi;ksfxrk gksxhA viuh vk; osQ bl izdkj O;; djus ls miHkksDrk
          vfèkdre larqf"V izkIr djsxkA

          ;fn miHkksDrk viuh vk; dks vkeksa rFkk nwèk ij fdlh nwljh izdkj ls [kpZ djrk gS rks mldh oqQy
          mi;ksfxrk igys ls de gks tk,xhA bls uhps fp=k 3-5 }kjk Li"V fd;k x;k gSμ


                                             fp=k 3-5

                           Y                          Y

                         12     M.U. of Mangoes    12      M.U. of Milk
                         10                        10     E
                                    A                       F
                          8                         8
                        Utility  6     B           Utility  6
                          4
                                                    4
                          2             Gain        2        Loss
                          0       C     D       X   0  G     H            X
                              12    34   5 6             12   34   5 6
                     Expenditure (Rupees) on Mangoes  Expenditure (Rupees) on Milk


          fp=k 3-5 ls Kkr gksrk gS fd miHkksDrk dks vkeksa ij ,d #i;k vfèkd [kpZ djus ls ABCD {ks=kiQy osQ
          cjkcj vFkkZr~ 6 bdkb;k¡ lhekar mi;ksfxrk vfèkd izkIr gksxhA blh izdkj nwèk ij ,d #i;k de [kpZ djus
          ls lhekar mi;ksfxrk EFGH {ks=kiQy osQ cjkcj vFkkZr~ 8 bdkb;ksa dh deh ;k gkfu gksxhA miHkksDrk dks
          viuh vk; osQ u, forj.k ls 46 bdkb;k¡ mi;ksfxrk izkIr gksxh tcfd igys forj.k ls 48 bdkb;k¡ oqQy
          mi;ksfxrk izkIr gqbZ FkhA

          3-10 fu;e dh vk/qfud O;k[;k (Modern Statement of the Law)

          vkèkqfud vFkZ'kkL=kh bl fu;e dks vuqikfrdrk dk fu;e (Law of Proportionality) osQ uke ls
          iqdkjrs gSaA muosQ vuqlkj ,d miHkksDrk vfèkdre larqf"V ;k larqyu dh fLFkfr ml le; izkIr dj
          ldrk gS tc fHkUu&fHkUu oLrqvksa ls izkIr lhekar mi;ksfxrk rFkk muosQ dher osQ vuqikr esa lekurk
          gks tk,A eku yhft, ,d lsc dh dher 50 iSls gS vkSj miHkksDrk 10 lsc [kjhnrk gSA nlosa lsc ls mls
          6 ;wfVy mi;ksfxrk izkIr gksrh gSA blfy, nlosa lsc ls izfr #i;k lhekar mi;ksfxrk fuEufyf[kr lw=k dh



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