หนังสือเรียนรายวิชาพื้นฐาน คณิตศาสตร์ ป.5 เล่ม 2

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2) 48x12+3 C) 260+70x25

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fi rfr oo9riiq6c

100-9 = 91 nr{r

3O I aarriuairs?rnr:aauis s1r.rreiurrr.$nlulad

u4 d Uu:',rU?d^t111'3lufi u1U I nfl]g.)fl n r-
14U{d0ffi 1AA: U.5

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:ogau

aYltlu :rur{o nrr r:r ri okJfi

rfr o r

< d ,J a- < 1u 45 % t u dY o
T:.r uE u u rrvi t rafr I fr rin G u u$ o I u fl tr u uvt.114lJ

rionmldulJ1 Lrn?1il'i1o drcl:

'd

nv1sL:{r:uusdJuundr:uu 100 nu ovfirinGuufllu 45 nu

rauaudfqrfnrdSuuua{l 100 - 45 = 55 nu

fir1:ruBuufirinuEuu 100 nu firinGuur,trll 55 ou

$aa{'j1 fi r7n Guuvr{{ 55% torfin Guuvtulttlto

v< < 3<v a 5 60 nu du d uut1 u tta u td:uul4iol{ !
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firT:r ri uufr fr rin rT au ovfi u-n vun nnu

riniBuu 560 nu firinrEuutr u 45o/o tos#nL;uufiorrt

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100 "560
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tLavSJunL:uu146u{

vs o 3a- a 840 nu o vfi rin uBuur,1dl dnu
01 [5{
r:rjuu}Jufl L:uu

rinr3au 840 rru firinrEuur,lfi{ 55% qlosfintie.lutn'orl,,

fdrruinrd5uur,ritt trtr
" #r x 840 = 462 au

Lrdo{'i1
100

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^{14U{dOr:UU:1U?t',rlAru51u I A6umnldFl: u.b

uvrvr b | :ouau

aoilAudauitrnainflraniki B0% zornrvuuur6r firirrdfinvuuur6r 30 nvuuu

a uYA

00:Jaua0u LoflFtvrruu

A?d5vo r1 aa dt1 Y d
00:.rdudaul{1nilfl^Fl'tafl5LFt
BOo/o tJ0{FluttuuLnSJ

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100

aou bd nuLLuu

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ffiffiEWffiE @TD@BW

LLdo{'i1 24 avtruu u{Jurirnorfi nn6'or ffiffi$ffiIr@Er
CJ

fl ilu3rivrfi :r utdrfii#flu 40% r o r :r ut6fl d ur6': firtjd urde fi :1 utfi B 90,000 u r yr

a,3a u vA
UU:J:1U LANUlYI

A2d5Vo t1 <.3 ou a uv A & uva,! v
UUU:19yr:J:1ULF|LilDJ1JU
4070 flo{tlU[OUyrUA?

a, I v d v v 890,000 u't?1
356,000
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a,3< tru A & 100
890,000 + 356,000
UU}J51U LALY,{}JlJU

o- {uYu' au.u3oil;lu[vov

ngu o,Lerdb,ooo UlYl

141 40% tor:1u16'890,000 urvt l5E,[]nil

ffiffiffiffiffiffi8ffiffiWffig @g3BEW
ffi#ffiffi8E'
ttav 890,000 + 356,000 = 1,246,000

rrdor{'j1 7,246,000 u1v rflurirnorfiOn6'a.r

2 |3 ao'.r.iudrraBu nr:aouiusr oran{urasrvrrrluTa 6

vrirfioGuu:ru^itarfiugru I nfinorani rJ.s

uvrvr 5 I iasau

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riro o nf; u61 5, 200 6'u tjduBrf,v rit o a nf u dr rviT'Ln

iBli"rAdo a,{,o r o o nadu6Yttosu54uuva a1 J Y

tJilrJBur runr:iit aa{41 nilvt ular B%

au.Jilttav?dt{00nd^uav1 5,200 fiu
flu
d,d l aY B x5.200 = 476 flu
uud{oanduFl''raaa{
100

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EOU d,6'rdd frU

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WWWWITffits ,-llE

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aufl a10 0:J L{u La fl u''lvl

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nuu<

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d du o 1 00 a 'i r 3 6 nru

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nu QUdul]ufldr:uu?r 1uuuoltud,u Jb nu

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uE u uri't o v fr rin G u ufr 'i rtj u fr nr u
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fi''l }.t u fi L: uuvl { 143J o 36 ou

v dv d uv I nu du o i, ? d, 100
cutJuflt:uuyt?'tuu']t1Ju
n1ilun L:uuvl{14}Jo 864 nu

T:rGuufirinuiuufr'rr,ruo 2,400 nu osfirinGuud'irurh,flu 2,400,.!g =
o- "trYiu 1r :rrdiuui{l<i-lfnt5duufj,rrruiUlrt{dlJu 864 ou

5o!utuuofUrtd'trVrYurIu1 Ll.t t!u Looul{ L:

34 | aarriudrmEuar*auirarardn{uasnralulaii

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nufr fr uX , fl rl''l :1{?1
uud o [t 1J1'{uvld114:u La udUal
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U
84% torfiGufr'trauor

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A'tA6ovt1 , alo 100 mr:rtrr u4ttjulI,tu!mn aril-:uLXau{!4r 1 16 m1i1{21

nlron:Jvtglu

fyrrroanf,i^lfrdu -1 mr:rter tldu,vl&uvAlaolilsu- La&u{uar .l 16 ,.,r',0..

100

P =Lonfrd6u 7,250 n1:'r{?1 rflurf,udritailrd'utrja 1 7,250, 100 2oo rl.r:1{?1

6- 'rr{i,u lan'afr{rluf!reoirrair 1'6ulrjal 200 m'l:1{?1

EAU leroo Fl1l1{?'l

A s d YY o u d\ Y
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141 16% tolfrfru 7,250 a1:1{?'l i'.,-1il

-Iffiffi % @@@affi
ffiH ffiEET
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ilu-rfi o Guu:rfl itrrf,ugru I nr rinnrrani rJ.s
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I ao d!
:0u n 13J zu?J3JA u n : L?fl n n U
U

i66oAdAlavlgr :ouri1ilr'itr.Jry\lJrualn:ouulu 35% urrun?lil'j'r
U

fr'r:olrjrufifliJcU;r 100 nu :aun'rfifrcllrfrudu 35 nru

t 3 av 100 + 35 = 135 nu

LLaa{'il :o!r{1ilr,Ju3J
U

nv r:ouut'rudiylzuru 100 nu o 4Y 135
U
:oun13JillJu
tny r:outur4u9 ilzutr nu U
U
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U 100

:ouut 'tu4Yislr,ilJlJ 540 nu :ouno1diYlrg{til 540x735 =72g

100

a- {uZ,u i av d 729 nu
T0un1}.rr,,rt
U ilaunTr?vl

aau 6'rtec( nU

"o y I 5-,4^U x 135
14101U?Uzu1Jil50Un1A1n
100

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yillufl?1il'ir rir6or:rnrt{ 100 rrv ao:'rFr'r 10 rrvr

rato frrfio:rnrrli 100 rrv %1uaB{ 100 - 10 = 90 rrvr

aorlFll 20% tot:1n1iliann uY

L?

I frrfiorrerrli 1oo urvr

14tJ1UFl?13J?1

d fiTfio:rrrrti 1oo urvr

14:0

ao:1Fr1 50% to.l:rnrfi fr ot{

I YA VLY ? 100 Urvt an:1Fl1 50 Urvr

143J1UFl?1tJ?1 il1flA:1nl

14TO nYrn^ n:rnr ULYr 1 00 urvr tluaB{ 100 - 50 = 50 rrvr

firfiq:rnrti 100 rrvr

fir6or:rerrti 100 urv truoB{ 100 - B0 = 20 urvt

| 37aorrYudrraBun'r:aauir4srordn{[murmsTuTa ?,

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uvu b | ?acifis

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20%'5OYo

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w aa:1n1 20 u'rvt fl1u:1n1 100 - 20 = B0 u'tvt

@ fYi^rYfrn:rnr:otrfir 100 u'tvt an:1n1 20 ulvl

yav 1 urv an:1n1 20 ulvr

6rlFrFr:1n1:0{Lvn 100

ffiiTudrfio:'rnr:ottfrr 1,990 uru an:1n1 1,990 x = sos ul,r
n-&rraluv Srudran:rnr 398 urvt

irufir arr :r n r n :v rth 3 0% n o r:. nrd fi o,t{ fr;f,0 6'os Ei r u riu dr rvr
U
fiudran:rnrn:srflr 30% tor:rordfiot{

iru6T fin:rnrn:vttjr #' z,s6o 2,560 urvr

vy 2,560 - 768 768 ulvr
7,792 ulvr
51Un1aOt1n1

a-U{uv&uur,{a.1$om0{Q1uL{u

soiruru a! :t J- UY 6tYu oAI d d oY n?'l Y
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u

38 I aadu:ir6unr:aar.6nsrnrdniuasrnalula6

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ul{ y t nt{ir u dr B n : r n r 6U'u,5U
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iB6o anilrrl 10% ros:r.',dfrot{ ulrunr:ru'jr firfior:rnrrdgr6u 100 u'tvt
ao:lrt1 10lru tlu:'tFt'l 100 - 10 = 90 lrvt

?6lir t firfin:rnn6'lfiu 100 rrvt qJlU:141 90 ulvl
U 1 urvr t1u51n1 90 !1vr

vayd 100

fi'tflo:'tFllFtLl, UU

irudrfio:rnrr{rfiu B,9oo urvt 11U51Ft1 8,900 ,, fl% = 8,010 ulvt
,X
r-T{rriu B,o1o ulvl
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nOU d,ooo UlYl

ffi1rr :1rr11l'ru{t6utrn 8,900 r,

ffiffiffiffi8ffiffi8ffiffiffi8 H,il1il
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ru6'rrirtrj au o o fl o1 n:rFr',d6 11{

ga to:1n1ayLdUu 10 r 8.900 8,900 ulvr
g
100 890 ulvt
an51Fl1
8,900 - 890 8,010 !1vr
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U

nO! d,ooo UlYl

ur riruao 10% tol:rnr6'r6u 8,900lrvt

ffiffiffiffi8ffiffig

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U

uraor.:'jr B,0l 0 lrvr r{iun'rorotfrqn6ot
U

fl 't:Lrdo.ilaEd141Fol1glou cu 4 qYaS dqY

ta0n Lt'lD Lnn La

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SALE

1) fl 'r.r Lfl {6ud aq:'rnl 3oo/o ?e]1lorfi uryr
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U

4) a fr';foov6'o{cir u N^ufi lrvr
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40% I

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U

aorlrrl 10 urv t1u51rl'l 100 - 10 = 90 lrvt

i6lir t fiTfiBr:rnrfrrfiu 100 uvt lr1u:1Fr1 90 ulvr

,i'.tfrrr...gg6u 1 urv t'tui'lrl1 90 ulvr
100
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100
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100
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qu i40 urYt

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u-i nnn'ruu Lo Lu:'lFtlvl I I
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vru 450 urYl $an{'ir mufi'nnrufi 50 urvt
I
r1u16 400 urvr

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rru14:0
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kffti- fi'tvtu 100

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ritlz 25o/" ulrunnrrt'ir fit1u 100 r:ryr rrul6'rirt: 25 tryr

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Mm - ?1oru";:"^""':::

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raBo firvu 100 rrv 'uruhj 100 - 10 = 90 urvr

?1ovru 25o/o vu1ilnr':ru'ir o eixt:

tnavu 25o/o utnunru'ir v 100 lrv t1ull'rrlyru 25 y:vt

fi'tvlu

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1450
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uofla?13J14il',Iu
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t6'rirl: rilfi r-r tla ut1 um or uvir'Lo

ri66n rral6'ritl,,z 25o/o yrranru'ir firdalr 100 lrv trul6'rirt: 25 lrvt

firdo1nrtvt 100 urv trut6'rirl: 25 ulvl

u&*14, 1 uru rnutdrirt: 25 ulvt
n1.?J0 Lnil LTI 100

ffiiurruXdsur,frolrrnlvnl 960 rru crrutfirirt: 960 x = zao ulvr

6'rrfu frudrtT uTnutv{t6'rirtt 240 utvt

uavtru'Lu:rnrr 960 +240 = 1,200 urYt

rtutdrirt: 25 r g6o = 240 !1vt

100

rYrrfu frudrcrruTnrutv'tlfrrittz 240 u'tvl

utavtru"Lu:rnrr 960 + 240 = 7,200 ulvl

anr#udsraBunr:douiltsrrtrdsi{uasrvn1u1a A | 43

rarirf, orEEJu:rE-l&irrfi uoru I nainnrani rJ.s

ul4vl 5 | :ouae

^cooileufr outlr :r nn 1,400 ulvr ll'r u Fiatrfl uuirsn l6'rirt:fo uau 30 oolfr uu uurll
u
:rnrrryi'r'Lpr

llyA?dA6FrO\YoU Y
?',rU LOnI L::OUAy 30 urrurrrr:r'ir firfiolrr 100 rrut6'rir1: 30 urvr

=I

tLflFl't?'] u1u5'rFt1
100 + 30 130 urvr

IAdo-Y4q v 100 ulyt lJ1U 130 ulyl

?5y11 fil?Jaily'l.i
U

f,lX1q1jtayl^l{ 1 ulvt 1J1U 130 ulvl

100
oar^dcufror4rll 1,400 ryu1?1 1J1U 1,400 " 100 = 7,820 !1yl
F-ill{uu oo}Jaut1 u141il{5r n't 1,820 uryr
U

0pU o,dbo UlYl

;Ii14'r :1Ft',t?J',tuQln .l,400 x 130 II,tLrlLfnLl

100

*#ffiffiffi3ffiffiffi;ilffiffiffiH

lryLLafl {'j'1 1,820 rtiurirnoufi ern6'at l'El'Effi

z13vi't trutririrl:iauay 30

o& 1,400 ulyl
oa:rHufrarag fit
420 ulyr
tru16'rirt: ffi , 1,400
7,820 ulyr
o-'&rrlu ooilAurl uurf, l:t nrr 1,400 + 420
U

nA! o,dloo U'lYl

tLn? 0 { 14't :'r F}'rlJ't u

yr rirt: 30% ros:1Frlulfl{ 1,400 tLrvr .l;'il

ffiffiffiffimri.#;g, I,IrBT'W

ovt6'rirl: 420 yrrt Lrau rruilnl 1,400 + 420 = 1,820 uryr

tuar]{'j'r ritlz 420 u'}?1 LLay rtu:1rl1 i,820 uvr trdJ,"!ueFrlflaLyflflaa{
U

44 | ao'r"i"ds ra?unr:aauiyr ulo.raq{ras ry n[uTa 6

uuu{ddor5duu:1uif-l11"c1u61u I n6unfl1dn: u.5

umfi s ; iaunv

rfr rr:rura n1un1:a:ri 01ilfi

,rrdru,nruoirrEr nrr 2,950 Uril tr Urio'lr1frol tloUu 4Oo/o xot)1)r ua lnmuoiFl

cJ'rFrfl ufi urv $avt't u:1nT uvir'Ln

Li66or clrutrn 4u 4Oo/o iluruomildr firdour 100 l'ru t1ut1ovlu 40 urvl

firddarnnuoio 100 uru t1ufl1o14u 40 ulvl
ulvl
fvrXrf,oatnnduaior 14 urv tlufllolvlu 40
100 U'IY]

& 2,950 uru fl1ulr1rrvlu 2,950, f,% = 1,180

ao:rfradLnmuoio

r-rA'ldriu aosJtjludLnfluoiafllfilxu 1,180 lrvt

*aut1u:1Fl1 2,950 - 1,180 = 1,770 ttt"vt

z?66e' trutrn4u 40%

Ad 2,950 ulvl
ulvl
aoil6tJodtnnuoS9l

fl1Uu10vlIu 40 * 2.950 = 1,180

100

6'rrfu ior.rll1 ua Lfl aloiortlot4u 1,180 urvt
I

$avr1u51Flr 2,950 - 1,180 = 7,770 vtvt

45aarfudrraiunr:dauivtsrdraq{uav 6 |rilnTuTa

rarirf, ouiuu:ru^itarfi ugru ; nfi norani rJ.s

uyrYr 5 I toe,au

ilunf&roio{Lfeir:rrrr 7^ ,^2-5^ 0 ulvl ll'turiroqtrv[AfYiu t1o4u;vouav 472

vu nlJ1u:o{ tfr'r:rnr tvir"Ln

A4A Y 12 urrurrrr:r'ir iirdoul 100 ulvl u'rut1aflu l2vttrt

?oFt91 lJ1U?1FrylIU50UAU

-Lrao{i1 11U:',rF]',r 100 72 = BB trvt

r?5vr''l fr'rdo:ocrfrr:rnr 1oo 1l'rvr Lilu:1Fn BB ulvr

6,&r{o:oryrvtl:lFl1 1 1J1vt ?J',rU:1Fn BB
,.,lvr
100
uunXfivoio{Lfr:tor 1,250 1J1vr l.J1U5rn1 7,250 x_BB = 1,100 ulvr

100

o-Y{uu 14unt1uT0{ v 1,100 urvl
tvll:1F11

nou o,ooo U17l

x-14','i :1n111UA1n 1,250 BB lI,ltLfll,L"|l

100 @E@E@

ffiffiffiffi3uU3ffiLL3

$do{'j1 1,100 rrvr r{Jurirnolfiqnolot

livi'r 2 fllutla?luiauav 12 72 ,1.250 1,250 ulvr
I
Xv 100 150 ulvr
14tifl{J050{tvl1:1al
7,250 - 150 1,100 ulvr
lJ',lUfl10vlu
I
uuvI

Fl{uu uun11u50{ Lyl1T1a1

EOU o,ooo U17l

ua r o u r t r n v9uTo uhiriruUUru-fr in : u r t niri o u6: 6r u r : r n r t r u

rr rirufir'rnvu 12oZ tot:ror:ollfrr 1,250 urvt rtil

ffiffiHSffi8ffiffi9 @E'@BW

euljlovlu 150 lru ttau t1u:'lF]1 1,250 - 1 50 = 1 ,100 utvt
q

$ao{'j1 rlovr9uU 150 u'ivt LLau t''}u:'}Fl1 1,100 uTvr rflurirnoufiQn6'ot

46 | oa..iudr ua?unr:dauivr u'rfl 1an{uas rvr n1uTad

uu{aoriuu:lu?1^j'11\4ug1u I 4 ut.-5

ntunfllart:

uvrfi 5 1 {aua"

W, uaortiBrir

"'.-f t^-
,f /

urrirnrdo:atr{r:ror 850 utyr qnuriotr"f-r'f-lu t-'t'o' 1iu- 74o/o ttiltn rtlu:o{Lfi1t1ol4urLvi1to

$a u fl 1 util :r rr r uvi r"Lor

@ irudrdo 6'n :ulun'uilfi { :1 Fn 3,960 u'ly} fro.i n1:11 u"L#tdrirt:50 ua v 3 5
YY Y luF-luuX lul
nfl :1 n1a fl : u Lvl''l Lo
5ruor n0s

O rludon:vu{h:1al 1,340 ulvl qnurio'L#oo:rfiu ?r'ro1u s urJoiufiud
& +,6)
oail aufr o n:v :rnr tYirtn
utlrlufi

@ q{ Lilfl a{IurJqndrrTuo 8,900 r:rvr ufi Idr':Iv'r orcrr Erl 6dtls 42"/"

q { Lil BrlJ 1 u drrTn ntduvir"Lor

47|aartiudrra?u nr:aouir uror ao{uas AtuerTuTa

14U':d0r5UU:1U?-1J1vJllUg1U .,-
I nfunfl1an5 u.5

uYrYr 5 J souau

n5?adounflurdrto

ado

tt6lo.12ovt1

O rrridrdootalrdalrlrilo 11 11 2,250 u1il Lfia?rlurarot6'rir11 620/o

uri 6ru u a t,tr :16ri u rvir"Ln

Xv t 5,600 ulyr t qv v

lul*Uf-rionda{nru!il:rnrr rllurio-lraoou fllrtuuSouau 25

llluUqr l 1 u n#or ri r u :ilm nmufi r ru ua ur 1 util"Lu:l a 1 ryi {Fr

uryv o a
:zufi
6'uyu LunT
fl E o v u B^^0 v nr:rirt: 60 u-Joir6ua,i'
rfi a E ner"?a
5rudr6'or

vv va A1t1 gd u to vvov L:n- taV !
SlUnlQUFtO{Frn:1 U LdO UA A?AU lyt','l LO LtA U LO fl 1
nUrVt

@ uaadorfi'onluuul?i1Fr1 540 urv rjrtrhrusiolfin^rt: tdrirt: 20 u.Joirfiuai
'4duvvuvd'6)
rv\ u:cJ0 Laa nuuu'r? Fr ? u:'r Fn r?1 r Lo

Tovr dfl ryrar usia v?iofi ,Yrrrun'',rurri1 maua drrl:

O ailn:criqiluufro:rnnun tia 2,400 u'ril Lrriao:rnrr'L#atr0nrorayn sai 70/o

tu dfr'r ro u r{J ua il 1 fr fl fl o { d14 n : aiq r uvi r rr u o, do r n rB o1 6"Lu ; 1 n' r fi u r ?r

@ :irudr 6'o r n r :tJ o fr o n r 6r t r u fr u dt4 n du'Lu : r n r srtr n'i ry u 45o/o iltyur a r fr u6T
'uu"l
'f,uradrrttu 1,800 rrvr irudrovrrufrufi',frufltrrr.rrvirlo

48 | an.riudsraBunr:aouimaroraniuas rvrrrluTa 6