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pqq 54.""Required"product"="95.75"X"0.02554"="2.445455"
"""""""⇒"5x"="100"⇒"x "= "="20"
l """""""""So,"6"digits"will"be"there"to"the"right"of"the"decimal""
pq """""""""Point"
49.""Speed"of"the"train"=" "X"60km/h"="50km/h"
pr 55."
"""""""New"speed"of"the"train"="(50V5)km/h"="45km/h"
"""""""∵""Distance"="10km"
pq wq
"""""""∴""Required"time"= "X"60min"=" "min"
wl x
p
" =13 "min"="13"min."20"sec"
x
50.""Suppose,"A"can"do"a"piece"of"work"in"x"days""
"""""""then"B"can"do"a"piece"of"work"in"3x"days"
"""""""So,""""""""""3x"–"x"="10"
"""""""⇒""""""""""""2x"="10"⇒"x"="5"days"
"""""""Hence,"B"can"do"a"piece"of"work"in"15"days"
$ """""""" "
$ "
51.$$Let"Arun's"weight"by"X"kg." 56.""Ration"of"workers"="8":"5":"1"
""""""""According"to"Arun," """"""""i.e."8K":"5K":"1K,"Ratio"of"wages"="5":"2":"3"
"""""""65<"X<72" """"""""Then,"8K"x"5"+5K"x"2"+K"x"3""="318"
xp~
"""""""According"to"Arun's"brother," """""""""⇒"40K"+"10K"+"3K"=318⇒"K"=" lx =6"
!!!!!60<"X<70." """""""""∴"Daily"wages"of"each"employ"
"""""""According"to"Arun's"mother," """""""""="40K,"10K,"3K"="40x6,"10x6,3x6=240,"60,"18"
"""""""X≤68" "
""""""The"values"satisfying"all"the"above"conditions"" 57.""Cat":"Dog"
""""""are"66,"67"and"68." """"""""5"":""4"
"""""""""5"x"3":"4"x"4"⇒"15":"16"
""""""Required"average," "
"""""""="(66+67+68=201)/3"="67"kg." " 58.""Suppose"cost"of"1"apple"="₹"x"
! """""""Ration"of"amount"contribute"among"Ram,"Shiv""
52.!!Marks"in"the"first"yearly"examination"=""""" """""""and"Ganesh="Ram":"Shiv":"Ganesh"=₹"3x:"₹"5x":"8"
wl """""""Suppose"Ram"and"Shiv"respectively"get"₹m#
"""""""500x "="225"
pqq #####and""₹"n"from"Ganesh."Then"actual"ratio"amount"
"""""""Marks"in"the"second"yearly"examination"=" """""""contribute"in"party"="Ram":"Shiv":"Ganesh="
ll """"""""""""""""""""""""""""""""""""""""""""""""=₹"3x"–m":"₹"5x"–n":#₹8"
"""""""500x "="275" """""""Now,""""""3x"–"m"="xx"–"n"
pqq
|q """""""""⇒""""""""""n"–"m"="₹"2x""""""""""""""""""""""""""""""""""""….(i)"
∵"60%"marks"of"total"marks=(500+500+500)x" "" ~Ä
pqq """""""and"""""""""m"+"n"=""₹ ###################….(ii)#""
""""""=""900" x ~Ä
∴"Required"marks"="900"V"(225+275)"="900V500"=400 """""""On"adding"Eqs,(i)"and"(ii),2n=2x+ x ⇒2n=" 14x "
3
! ! """""""""⇒""""""""""n"=" """""""""""""""""""""""""""""""""""""….(iii)##
jÄ
53.!!Original"area"="100*"50" x
~Ä
"""""""reduced"length"="80%"of"100"="80" """""""On"subtracting"Eqs."(ii)"from"(i),"2m= "V2x"
"""""""reduced"breadth""="90%"of"50="45" "2x x
"""""""reduced"area"="80"X"45" """""""""""""""""""""""""""""""""""""""""""""""⇒"2m"=" "
3
"Ä
"""""""reduction"in"area"="500"V"3600"="1400" """""""⇒""""""""""m="" """"""""""""""""""""""""""""""""""""""""""""""""….(iv)"
"""""""∴"%"reduction="[400/5000]"100"="28"%" x "~Ä "~Ä
" """""""""∴"""""""m"+"n"= x "⇒""8"=" x """""""(∵"m"+"n"="₹8)"

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