Raja, ravi and kumar can separately do a work in 12, 15 and 30 days respectively, raja, ravi and kumar started to work together but ravi and kumar left the work respectively 5 days and 4 days before the completion of work and the remaining work was completed by raja. If they were paid rs. 1500 for the total work. What is the total amount received by raja and ravi?
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Step-by-step explanation:
let, the work → x unit.
Per day, Raja, Ravi & Kumar can do=x/12 , x/15 , x/30 respectively.
let, total day = y
so, (x/12)*y+(x/15)(y-5)+(x/30)(y-4)=x
→y/12+(y-5)/15+(y-4)/30=1
→5y+4(y-5)+2(y-4)=60
→11y-28=60
→y=88/11=8
so, Raja worked=(8/12)x unit=0.6666x unit
Ravi worked=(3/15)x unit=0.2x unit
Kumar worked=(4/30)x unit=0.1333x unit
total amount received by raja & ravi is=1500*(0.66666+.2)rs.= 1300 rs.
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