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!
! Total!interest!=!8!+!12!=!₹!20! rt
]tt ! ! =! ]tt !x!75!=!60"
! When!interest!₹!1500,!then!P!=! !X!1500!
ct "
! ! ! =!₹"7500" Now,!total!number!of!pupils!=!75!+!10!=!85!
bb
! Percentage!pass!=" !x!100!=! ]]tt !=!64.7%!!
51.' Let'the'Principal'(P)'be'x' rb ]
Then,'Simple'Interest'(SI)'='x/5' !
Time'(T)'='4'years' 56.! 3!:!6!:!7!!∴!3!+!6!+!7!=!16!
Rate'of'interest'per'annum(R)'' ! ! !!!! !x!₹!80!=!₹"15"
Å
{ ]d
]tt'u'wx ]tt'u'' '' ct d
' ''=' | '=' '='5%' ! ! !!!! !x!₹!80!=!₹"30"
yz s'u'^ ^ ]d

' ! ! !!!! !x!₹!80!=!₹"35"
52.' 'Let' ]d
' 'I' ' ' II' " Hence!answer!is"15":"30":"35"
' 'P'='₹"x" " P"="₹"(2600"–"x)" "
' 'r'='9%'''''''''''''''' r'='7%' 57.!!!A!=!P!(!1!+!! Ç ) !=!1875!(1+ ^ ') !
c
É
' 't''='1'yr''''''''''''''' t'='1'yr' ]tt cd ]tt
cd
' ! =1875!X! !X! !=!3!x!676!=!₹"2028"
y'u'}'u'~ y'u'}'u'~ cb cb
SI'='' ''''' SI'='' '' "
]tt ]tt
s'u'h'u'] cdtt*s k''k'] 58.""∵"x!∝!y!!
'''''''=' ''' = '
]tt ]tt
hs !!!!!!!!!!!When!y!=!15,!then!x!=!8!
SI'='₹" " r iÜ
]tt !!!!!!!!!!!When!y!=!10,!then!x!= !X!10!⇒!x!=" !
According'to'the'question,' ]b á
hs cdtt*s  ! !
' '+' '='206'
]tt ]tt 2'
' 59."Quantity'of'milk'=' 60'x'
⇒' 9x'+'2600'+'7'–'7'='206'x100' ' 3' 'ltrs'='40'ltrs.'
⇒' ' 2x'+'18200'='20600' Quantity'of'water'in'it'='(60@'40)'litres'='20'litres.'
c^tt New'ratio'='1':'2'
⇒' x'=' '='1200' Let'quantity'of'water'to'be'added'further'be'x 'litres.'
c
'''''''''''''''∴''Money'lent'at'7%'='2600'@1200'=₹"1400" Then,'milk':'water'=' 40' .'
" ' 20'+'x'
53." Let!the!total!number!of!voter"enrolled!be! 40' 1' '
! x!then,! Now,' ' 20'+'x' =' 2'
t hr dt '
! x !x! !X! !=!7203! '20'+'x '='80'
]tt ]tt ]tt 'x '='60.'
ctÅ'u']tt'u']tt'u']tt
! ! ! x!=! t'u'hr'u'dt ! 'Quantity'of'water'to'be'added'='60'litres.'
! ! ! !!="17500" " "
54.! This!question!can!be!solved!by!tricky!method.! !!Hence,! 60L! of! water! should! be! added! to! make! the!
! In!such!case!the!price!of!any!commodity!be! ration!of!milk!and!water!as!1!:!2.!!!!
s'u']tt !
! Raised!by!x%!then! !%!reduced!! 81.! The! symbol! (′ < ′)! moves! along! the! x[axis! and!
]tt%s
! Consumption!of!that!commodity!so!as!! rotating!along!anti[clockwise!direct.!Another!symbol!is!
o
0
0
!! Not!to!increase!the!expenditure! rotating! in! clockwise! direction! in! a! way! 45 ,! 90 ,! 45 ,!
0
! ! 90 ,!…….!And!so!on.!And!in!every!move,!new!symbol!
]]'u']tt replaces!previous!one.!!
" " " !="9.9%"
]tt%]]
"
55." Number!of!passed!students!=!80%!of!75!

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