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BRUTO, TARA DAN NETO CONTOH SOAL MATEMATIKA Devi Fristasari 9:10 PM Brt!, Tara "a# Net! C!#t!$ S!a% Mate&ati'a ( Sete%a$ s!)at &e#*eta$i a+a it a#* "i#a&a'a# ra)at -"is'!#. +a"a arti'e% se)e%a, 'i#i s!)at a'a# &e#/&+ai )rt!, tara "a# #et! a#* /*a +a"a BAB Arit&eti'a I#i &er+a'a# &ateri a#* '+ *a&+a#* "a# &"a$ "i+a$a&i Da%a& &ate&ati'a )erat '!t!r sat )ara#* "i'ata'a# se)a*ai )rt! se"a#*'a# )erat )ersi$#a "i#a&a'a# #et! Se"a#*'a# tara ia%a$ se%isi$ a#tara )erat '!t!r "a# )erat )ersi$ De#*a# "e&i'ia# a#tara )rt!, tara "a# #et! "a+at "isi&+%'a# se)a*ai )eri't: R&s Brt!, Tara "a# Net! -tara "a%a& )e#t' )erat -'*,"s).. Brt! 2 Net! 3 Tara Tara Tara 2 Brt! ( Net! Net! 2 Brt! ( Tara R&s Brt!, Tara "a# Net! -tara "a%a& )e#t' +erse# -4. . 100 Brt! 2 Net! 5 (((((((((((( (((((((((((((( 100 ( Tara 1 ( Net! Tara 2 (((((((((((( (((((((((((((( 5 1004 Brt! 100 ( Tara Net! 2 Brt! 5 ((((((((((((((( 100 R&s Tara Tara 6i'a Di'eta$i Perse# Per se# Tara Tara "a# Brt! Tara 2 Perse# Tara Tara 5 Brt! R&s Me#e#t'a# Har*a Bersi$ Har*a Bersi$ 2 Net! 5 Har*a7sata# )erat C!#t!$ S!a% Brt!, Tara "a# Net! 1 I) &e&)e%i 8 'a%e#* ss Disetia+ 'a%e#* tert%is #et! 1 '* Sete%a$ "iti&)a#* ter#ata )erat 'a%e#* ss terse)t '* Bera+a'a$ )rt! "a# tara setia+ 'a%e#* 6a;a) : Brt! setia+ 'a%e#* 2 '* : 8 2 1,< '* Tara setia+ 'a%e#* 'a%e#* 2 Brt! ( Net! 2 1,< '* ( 1 '* 2 0,< '* < Peti )a$ )erisi a+e% tert%is )rt! <8 '* "a# tara <4 Hit#*%a$ #et! )a$ terse)t=
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Isti%a$ )rt!, #ett!, "a# tara a"a%a$ isti%a$ a#* seri#* "i*#a'a# "a%a& +e#e)ta# "a# +e#%isa# )erat ata )!)!t )ara#* "a%a& 'e&asa# a#* "i'e&as !%e$ +a)ri' Ka%a Ka%a 'ita +er$ati'a#, )iasa#a +a"a 'e&asa# )ara#* tert%is $a#a )rt! ata #ett! sa/a U#t' +r!"' a#* "i+r!"'si "a%a& #e*eri 'a"a#*('a"a#* "it%is'a# )erat )ersi$ a#* arti#a sa&a "e#*a# #ett! A+a a#* "i&a's" )rt!, #ett! "a# tara Beri't i#i 'a# "i)a$as &e#*e#ai +e#*ertia# "ari )rt!, #ett! "a# tara )eserta ara &e#*$it#*#a "i%e#*'a+i "e#*a# !#t!$( !#t!$ +er$it#*a# Pe#*ertia# Brt!, Nett!, "a# Tara Brt! ata )erat '!t!r a"a%a$ )erat sat )ara#* )eserta 'e&asa##a Nett! ata )erat )ersi$ a"a%a$ )erat sat )ara#* ti"a' ter&as' 'e&asa##a Tara a"a%a$ )erat 'e&asa# sat )ara#* Cara Me#*$it#* Brt! Ber"asar'a# "ei#isi )rt! &a'a )rt! a"a%a$ #ett! "ita&)a$ tara R&s &e#*$it#* )rt! a"a%a$ se)a*ai )eri't Brt! 2 Nett! 3 Tara Tara C!#t!$ +er$it#*a# )rt! Di'eta$i #ett! )is'it "a%a& 'e&asa# 88 *ra& "a# )erat 'e&asa# 1,8 *ra& Ma'a )rt! "a+at "i$it#* "e#*a# ara )eri't i#i Brt! 2 #ett! 3 tara 2 88 3 1,8 2 8,8 6a"i )rt! )is'it "a%a& 'e&asa# terse)t 8,8 *ra& Cara Me#*$it#* Nett! Ber"asar'a# "ei#isi #ett! &a'a #ett! a"a%a$ )rt! "i'ra#*i tara R&s &e#*$it#* #ett! a"a%a$ se)a*ai )eri't Nett! 2 Brt! Tara Tara C!#t!$ +er$it#*a# #ett! Di'eta$i )erat )rt! sa%e+ !)at *!s!' >8 *ra&, )erat ;a"a$#a 18 *ra& Ma'a #ett! sa%e+ terse)t "a+at "i$it#* "e#*a# ara )eri't i#i Nett! 2 )rt! tara 2 >8 18 2 0 6a"i #ett! sa%e+ terse)t a"a%a$ 0 *ra&
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Nett! 2 1<8 *ra& Tara 2 <> *ra& Brt! 2 #ett! 3 tara 2 1<8 3 <> 2 1<9 6a"i )rt! )ara#* "a%a& 'e&asa# terse)t a"a%a$ 1<9 *ra& C!#t!$ S!a% < S!a%: Sat +eti &a#**a &e&i%i'i )erat )rtt! 8 '* Peti#a ter)at "ari 'a se)erat 8 '* Bera+a )erat )ersi$ &a#**a "a%a& +eti terse)t 6a;a): Brt! 2 8 '* Tara 2 8 '* Nett! 2 )rt! tara 2 8 8 2 0 6a"i )erat )ersi$ &a#**a "a%a& +eti terse)t a"a%a$ 0 '* C!#t!$ S!a% S!a%: 1 ta)#* ta)%et !)at &e&i%i'i )erat '!t!r <8 *ra& "a# )erat )ersi$ 10 *ra& Bera+a )erat ta)#* terse)t "a%a& 'ea"aa# '!s!#* 6a;a): Brt! 2 <8 *ra& Nett! 2 10 *ra& Tara 2 )rt! #ett! 2 <8 10 2 18 6a"i )erat ta)#* "a%a& 'ea"aa# '!s!#* a"a%a$ 18 *ra& C!#t!$ S!a% > S!a%: Di'eta$i )rt! sat )!5 )ara#* a"a%a$ <8 '* "e#*a# tara 1 '* Bera+a +erse#tase tara#a 6a;a): Brt! 2 <8 '* Tara 2 1 '* 4Tara 2 -Tara7Brt!. 5 1004 2 -17<8.51004 2 >4 6a"i tara sat )!5 )ara#* terse)t a"a%a$ >4 C!#t!$ S!a% 8 S!a%: Di'eta$i )rt! sat +eti /er' a"a%a$ <0 '* "e#*a# +erse#tase tara 104 Bera+a tara sat +eti /er' terse)t 6a;a): Brt! 2 <0'* Tara 2 9-4Tara7100. 5 Brt! 2 -107100. 5 <0 2 < 4Tara 2 104 6a"i tara sat +eti /er' terse)t < '* C!#t!$ S!a% S!a%: Di'eta$i sat 'a%e#* &a'a#a# &e&i%i'i tara 184 ait 0, '* Bera+a )rt! sat 'a%e#* &a'a#a# terse)t 6a;a): 4Tara 2 184
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< Pe#er)it Ba#*sa Cer"as &e#iti+'a# 00 )' Mate&ati'a /i%i" I "a# >00 )' Mate&ati'a /i%i" II +a"a se)a$ t!'! )' T!'! )' terse)t $ars &e&)aar $asi% +e#/a%a# )' setia+ a'$ir se&ester B' /i%i" I $ar*a#a R+0000,00 B' /i%i" II $ar*a#a R+90000,00 Ra)at #t' setia+ )' <84 Pa"a a'$ir se&ester I, t!'! )' terse)t )er$asi% &e#/a% <00 )' /i%i" I "a# 00 )' /i%i" II a Bera+a r+ia$ ra)at a#* "iteri&a t!'! )' terse)t ) Bera+a )a#a'#a a#* a#* "iset!r 'e Pe#er)it Ba#*sa Cer"as Se'ar#* )eras 'iri&a# "ari D!%!* tertera t%isa# Net! 100 '* Sete%a$ "iti&)a#* 'e&)a%i, Setia+ 'ars#* ter#ata )erat#a 10< '* Har*a se'ar#* )eras terse)t R+1000000,00 Pe"a*a#* eera# &e&)e%i se'ar#* )eras terse)t %a% "i)a;a +%a#* "e#*a# )iaa a#*'ta# R+1<000,00, 'e&"ia# "i/a% eera# "e#*a# $ar*a R+1 R+11000,00 1000,00 tia+ '* Kar#*#a ti"a' ter/a% a Bera+a'a$ )esar#a tara "a# )rt! ) Bera+a r+ia$'a$ 'e#t#*a##a > I) Ita &e&)e%i 80 'ar#* )a;a#* &era$ "e#*a# )erat )rt!80 '* tia+ 'ar#* Tara#a <4 tia+ 'ar#* Har*a +e&)e%ia# R+180000,00 +er 'ar#* Ba;a#* &era$ "i/a% 'e&)a%i "e#*a# $ar*a R+800,00 +er '* Hit#*%a$: a )erat #et! ) $ar*a +e&)e%ia# se%r$#a $ar*a +e#/a%a# se%r$#a " )esar 'e#t#*a# ata 'er*ia##a"a# e +erse# 'e#t#*a# ata 'er*ia##a=
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Brt! 2 10< '* Tara 2 10< (100 2 <'* ) Har*a +e&)e%ia# 2 R+1000000,00 M!"a% se%r$#a 2 R+1000000,00 3 R+1<000,00 M!"a% se%r$#a 2 R+101<000,00 Har*a +e#/a%a# 2 100 5 R+11000,00 Har*a +e#/a%a# 2 R+1100000,00 Besar 'e#t#*a# 2 R+1100000,00 ( R+101<000,00 Besar 'e#t#*a# 2 R+000,00 > )rt! se%r$#a 2 80 80 '* 5 80 2 <800 '* Tara se%r$#a 2 < 4 5 <800 '* 2 80 '* a Net! Net! 2 <800( 80 2 <>80 '* ) Har*a +e&)e%ia# se%r$#a 2 80 5 R+180000,00 Har*a +e&)e%ia# se%r$#a 2 R+G800000,00 Har*a +e#/a%a# se%r$#a 2 <>80 5 R+800,00 Har*a +e#/a%a# se%r$#a 2 R+8G8000,00 " Besar 'e#t#*a# 2 R+8G8000,00 ( R+G800000,00 Besar 'e#t#*a# 2 R+10G8000,00 e Perse#tase 'e#t#*a# 2 -R+10G8000,00 : R+G800000,00. 5 100 4 2 1>, 4 8 a Brt! 2 100 '* Net! 2 9 '* Tara 2 100 9 2 < '* ) M!"a% 2 R+1000000,00 3 R+18000,00 M!"a% 2 R+1018000,00 Har*a +e#/a%a# 2 9 5 R+1<000,00 2 R+ 11G000,00 Ke#t#*a# 2 R+ 11G000,00 ( R+1018000,00 Ke#t#*a# 2 R+ 11000,00 Perse#tase 'e#t#*a# 2 -R+11000,00 : R+1018000,00. 5 100 4 2 18,G 4
a )rt! se%r$#a 2 80 '* 5 80 2 <800 '* Tara se%r$#a 2 < 4 5 <800 '* 2 80 '* Net! 2 <800 (80 2 <>80 '* ) Har*a +e&)e%ia# se%r$#a 2 80 5 R+<80000,00 2 R+1<800000,00 Har*a +e#/a%a# se%r$#a 2<>80 5 R+8000,00 2 R+1<<80000,00 Besar Ker*ia# 2 R+1<800000,00 ( R+1<<80000,00 2 R+80000,00
10
Perse#tase 'er*ia# 2 -R+80000,00 : R+1<800000,00. 5 100 4 2 0,> 4 G a Brt! se%r$a 2 <0 5 >0 '* 2 00 '* Tara se%r$#a 2 1 5 <0 2 <0 '* Net! se%r$#a 2 00 <0 2 G0 '* ) Perse#tase tara 2 17>0 5 100 4 2 <,8 4 Har*a +e&)e%ia# se%r$#a 2 <0 5 R+>00000,00 2 R+000000,00 Har*a +e#/a%a# 2 G0 5 R+18000,00 2 R+11G00000,00 " Besar 'e#t#*a# 2 R+1 R+11G00000,00 1G00000,00 ( R+000000,00 2 R+G00000,00 Perse#tase 'e#t#*a# 2 -R+G00000,00 : R+000000,00 . 5 100 4 2 >,<8 4 a Brt! se%r$#a 2 10 5 0 '* 2 00 '* Tara se%r$#a 2 <,8 4 5 00 '* 2 <0 '* Net! se%r$#a 2 00 <0 2 G0 '* ) Ke#t#*a# 2<0 4 2 R+80000,00 Har*a +e#/a%a# se%r$#a 2 -1<0 4 : <0 4 . 5 R+80000,00 Har*a +e#/a%a# se%r$#a 2 5 R+80000,00 Har*a +e#/a%a# se%r$#a 2 R+900000,00 Har*a Har*a +e&)e%ia# se%r$#a 2 -1004 : <04. 5R+80000,00 Har*a +e&)e%ia# se%r$#a 2 85R+80000,00 Har*a +e&)e%ia# se%r$#a 2 R+<80000,00 Har*a +e&)e%ia# se%r$#a 2 R+<80000,00 : 10 Har*a +e&)e%ia# s+er 'ar#* 2 R+<8000,00