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bdkbZ—19% Hkkfjr lewgh ewY; jhfr




                               Σpq          835                                                       uksV
                          P P  =   11  ×  100 =   × 100 = 129.26
                            01  Σpq         646
                                 01



                       ik'ks dh mi;ksfxrk crkb,A


            19-4 ek'kZy&,tcFkZ fofèk (Marshall-Edgeworth’s Method)


            bl fofèk osQ vUrxZr vkèkkj o"kZ vkSj pkyw o"kZ nksuksa dh ek=kkvksa osQ ekè; dks Hkkj ekuk tkrk gSA lw=k osQ vuqlkj]
                                                0 F
                                                   q
                                                 2 K
                                                    1
                                           Σp 1G H q + I J
                                                0 F
                   ek'kZy&,toFkZ funsZ'kkad]  P  =      × 100
                                     M
                                                   q
                                       01      q + I
                                                    1
                                           Σp 0G H  2 K J
                                             1b
                                           Σpq + g                  Σ      Σpq +  pq
                                                   q
                                         =      0   1   × 100 vFkok   10     1 1   × 100
                                           Σpq +   q )              Σ  00  Σpq +  pq
                                              (
                                                                             01
                                                    1
                                             0
                                                0
            mnkgj.k (Illustration) 5: vxz vkadM+ksa ls ek'kZy&,toFkZ dher funsZ'kkad Kkr dhft, %
                  oLrq                  vkèkkj o"kZ                    pkyw o"kZ
              (Commodity)     dher (Price)  ek=kk (Quantity)  dher (Price)  ek=kk (Quantity)
                   A              6              50              10              56
                   B              2              100             2              120
                   C              4              60              6               60
                   D              10             30              12              24
                   E              8              40              12              36

            gy (Solution):

                 oLrq          vkèkkj o"kZ     pkyw o"kZ
                                                            p q     p q     p q      p
              (Commodity)    dher   ek=kk q dher p ek=kk q   0 1     1 0     1 1      0
                                         0       1      1
                  A           6       50     10      56      300    336     500      560
                  B           2      100      2      120     200    240     200      240
                  C           4       60      6      60      240    240     360      360
                  D           10      30     12      24      300    240     360      288

                  E           8       40     12      36      320    288     480      432
                 ;ksx         —       —      —       —      1,360   1,344  1,900    1,880

                                                    ,
                                              ,
                        Σ       Σpq +  pq    1900 + 1880        3780
                                                                 ,
                   M P  =   10    11  ×  100 =           ×  100 =     = 129.8
                                                                 ,
                                              ,
                                                    ,
                     01  Σ  00  Σpq +  pq    1360 + 1344        2704
                                  0 1
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