Page 297 - DECO504_STATISTICAL_METHODS_IN_ECONOMICS_HINDI

bdkbZ—20% vfojks/ dk ifj{k.k% bdkbZ ekin.M] le; mRØE;rk ijh{k.k] rRo mRØE;rk ijh{k.k] pØh; ijh{k.k

Σqp 1790 uksV
Q = 11 × 100 = × 100 = 86.5
01 Σqp 1 2070
0
(iii) ek'kZy&,toFkZ (Marshall-Edgeworth) jhfr }kjk ewY; lwpdkadμ
Σ(q + q 1 )p 1 Σ 10 Σpq + pq
1 1
0
P = × 100 = × 100
01 Σ(q + q 1 )p 0 Σ 00 Σpq + pq
0
0 1
2070 + 1790 3860
= × 100 = × 100 = 123.3
1660 + 1470 3130
(iv) Mªksfc'k ,oa ckmQys (Drobisch-Bowley) jhfr }kjk ewY;&lwpdkadμ
L
1 Σpq
01 M L 10 Σpq O P 1 2070 1790O
11
N
P = + × 100 = M + P × 100
01Q
N
2 Σpq Σpq 2 1660 1470Q
00
(v) fiQ'kj (Fisher) jhfr }kjk ewY;&lwpdkad (Price Index):
Σpq Σpq 2070 1790
P = 10 × 11 × 100 = × × 100 = 123.2
01 Σpq Σpq 1600 1470
01
00
mnkgj.k (Illustration) 5. fdlh uxj fo'ks"k osQ ,d Jethoh oxZ osQ miHkksDrk dher lwpdkad esa fofHkUu
oLrq&oxZ osQ vuqlkj Hkkj fuEufyf[kr Fksμ
Hkkstu (Food) 55, b±/u (Fuel) 15, oL=k (Clothes) 10, fdjk;k (Rent) 8, fofo/ (Misc.) 12
vDVwcj 1999 esa ml uxj dh ,d fey us vius dkexkjksa osQ fy, eg¡xkbZ HkÙkk mudh etnwjh osQ 182 izfr'kr
ij fu;r fd;k] ftlls Hkkstu vkSj fdjk;s esa gqbZ eg¡xkbZ (ewY;&o`f¼) dh {kfriw£r rks gks x;h fdUrq vU; enksa
dh {kfriw£r ugha gks ik;hA mlh uxj dh ,d vU; fey us 46.5 izfr'kr dk eg¡xkbZ HkÙkk fn;k ftlls b±/u vkSj
fofo/ lewg esa gqbZ ewY;&o`f¼ izfrdkfjr gks xbZA ;g Kkr gS fd Hkkstu esa ewY;&o`f¼ b±/u dh o`f¼ ls nksxquh
gS vkSj fofo/&lewg esa ewY;&o`f¼] fdjk, esa o`f¼ ls nksxquh gSA Hkkstu] b±/u] fdjk;k rFkk fofo/&lewg esa gqbZ
(eg¡xkbZ) Kkr dhft,A
gy (Solution). ekuk] b±/u esa gqbZ eg¡xkbZ = X rc Hkkstu esa eg¡xkbZ = 2X
fdjk;s esa gqbZ eg¡xkbZ = Y rc fofo/&oxZ esa eg¡xkbZ = 2Y

pw¡fd igys dkj[kkus }kjk ^Hkkstu* rFkk ^fdjk;s* osQ lEcU/ esa gqbZ eg¡xkbZ dh iw.kZ:i ls {kfriw£r dj nh x;h
gSA vr% Jfedksa dks 100 #- osQ LFkku ij vc 282 #- izkIr gksus ij bl fey dk lwpdkad eg¡xkbZ osQ ckn fuEu
gksxkμ

Item Index No. W W.I.
Food 2X 55 110X
Fuel 100 15 1500
Clothing 100 10 1000
Rent Y 8 8Y
Miscellaneous 100 12 1200

Total ΣW = 100 ΣWI = 3700 + 110X + 8Y

3700 + 110 X + 8 Y 3700 + 110 X + 8 Y
Index No. = or 282 =
100 100
28200 = 3700 + 110X + 8Y or 110X + 8Y = 24500 ...(i)

LOVELY PROFESSIONAL UNIVERSITY 291