Page 353 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math24-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

bdkbZ vkxr&fuxZr fo'ys"k.k

vkxr&fuxZr fo'ys"k.k dh lgk;rk ls vUr% m|ksx laca/ rFkk lEiw.kZ vFkZO;oLFkk dks vUr% fuHkZjrk izkIr gksrh uksV
gS D;ksafd ,d m|ksx dk fuxZr nwljs m|ksx osQ fy, vkxr gks ldrk gSA blh izdkj ls nwljs m|ksx dk fuxZr
izFke m|ksx osQ fy, vkxr gks ldrk gSA mnkgj.kkFkZ] dks;yk m|ksx dk fuxZr bLikr m|ksx dk vkxr gks ldrk
gSA

uksV~l bLikr m|ksx dk fuxZr dks;yk m|ksx osQ fy, vkxr gksrk gSA

24-1 vkxr&fuxZr fo'ys"k.k dh ekU;rk,¡
)

* )
#

vkxr&fuxZr fo'ys"k.k dh fuEu ekU;rk,¡ gksrh gSaµ

(1) vFkZO;oLFkk iw.kZ larqyu esa gksrh gSA
(2) vFkZO;oLFkk nks Hkkxksa esa foHkkftr gksrh gSµvUr% m|ksx {ks=k rFkk vfUre ek¡x {ks=k rFkk izR;sd {ks=k dk
mi&foHkktu fd;k tk ldrk gSA
(3) izR;sd m|ksx osQoy ,d gh oLrq dk mRiknu djrk gS rFkk nks oLrqvksa dk la;qDr mRiknu ugha gksrk gSA

(4) fdlh ,d m|ksx dk oqQy mRiknu fdlh vU; m|ksx osQ vkxr osQ :i esa dke esa yk;k tkrk gSA
(5) mRiknu fLFkj izfriQy osQ fu;e osQ vUrxZr gksrk gSA
(6) rduhdh izxfr fLFkj jgrh gS] bldk vfHkizk; ;g gqvk fd vkxr xq.kkad fLFkj jgrs gSaA
(7) ;gk¡ mRiknu esa dksbZ cká ferO;;rk,¡ vFkok vferO;;rk,¡ mRiUu ugha gksrh gSaA

24-1-1 fy;ksfUViQ dk LFkSfrd vkxr&fun'kZ&[kqyk fun'kZ

fy;ksfUViQ dk LFkSfrd vkxr&fuxZr fun'kZ mi;qZDr ekU;rkvksa ij vk/kfjr gSA fy;ksfUViQ dk LFkSfrd fun'kZ dks
,d mnkgj.k }kjk le>k;k tk ldrk gSA ekuk vFkZO;oLFkk rhu {ks=kksa esa caVh gqbZ gSA buesa Ñf"k ,oa m|ksx
vUr%m|ksx osQ :i esa rFkk ?kjsyw {ks=k vfUre ek¡x {ks=k osQ :i esa fy;k x;k gSA

vkxr&fuxZr lkj.kh dh lgk;rk ls bl fun'kZ dks le>k;k tk ldrk gSA bl lkj.kh esa rhuksa {ks=kksa dk fuxZr
! ] iafDr;ksa
({kSfrt :i esa) }kjk n'kkZ;k x;k gS tcfd bu {kss=kksa dk vkxr
! ] LrEHkksa

(yEcor~ :i esa) }kjk n'kkZ;k x;k gSA izFke iafDr dk oqQy ;ksx 300 bdkb;k¡ gSa tks Ñf"k dk
oqQy fuxZr iznf'kZr djrh gSA ftlesa 50 bdkb;k¡ Ñf"k Lo;a] 200 bdkb;k¡ m|ksx rFkk 'ks"k 50 bdkb;k¡ ?kjsyw {ks=k
esa vkxr :i esa dke esa yk;h tkrh gSaA lkj.kh dh nwljh iafDr m|ksx osQ oqQy mRiknu dks iznf'kZr djrh gSA
m|ksx esa oqQy 150 bdkb;ksa osQ cjkcj mRiknu gksrk gS ftlesa 55 bdkb;k¡ Ñf"k] 25 bdkb;k¡ Lo;a m|ksx rFkk
70 bdkb;k¡ ?kjsyw {ks=k esa dke esa yk;h tkrh gSaA

blh izdkj LrEHkksa
dks ysa rks ;s bu {ks=kksa dh ykxr dks crkrs gSaA izFke LraHk ;g crkrk gS fd Ñf"k
{ks=k esa 300 bdkb;ksa dk oqQy mRiknu djus osQ fy, 125 bdkb;ksa dh ykxr vkrh gS ftlesa 50 bdkb;k¡ Lo;a
Ñf"k] 55 bdkb;k¡ m|ksx rFkk 20 bdkb;k¡ ?kjsyw {ks=k ls vkxr osQ :i esa dke esa yk;h tkrh gSaA f}rh; LrEHk