5. Karan receives a certain amount of money on his retirement from his employer. If he gives half of this money along with 10000 to his daughter and 1/3rd of the money to his son, then he is left with 3000. Find the amount of money received by Karan on retirement.
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Answer:
Let x=the amount of money kanchan received on her retirement
a=amt. received by daughter
b=amt. received by son
(1)a=x/2+10000
(2)b=x/3+3000
(3)a=2b
Sltn:
Substituting (1) and (2) to (3),
x/2+10000=2(x/3+3000)
x/2+10000=2x/3+6000
6(x/2+10000)=6(2x/3+6000)
3x+60000=4x+36000
3x+60000-36000=4x+36000-36000
3x+24000=4x
x=24000
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