A sum of rs 300 is divided among p,q,r in such a way that q gets rs.30 more than p and r gets rs. 60 more than q. Then ratio of their shares
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total amt = ₹300
AS PER THE CONDITION...
let the amt p gets= x
amt q get = x+30
amt r gets = (x+30)+60
therefore..…
300 = x + x+30+x+30+60
300=3x +60+60
300=3x+120
300-120=3x
3x=180
x=180/3
x=60
therefore.…
amt p gets =₹ 60
amt q gets =x+30
=60+30
= ₹90
amt r gets = x+30+60
= 60+30+60
= ₹150
therefore..…
ratio p/q= 60/90=2/3
ratio q/r= 90/150=3/5
ratio p/r=60/150=2/5
AS PER THE CONDITION...
let the amt p gets= x
amt q get = x+30
amt r gets = (x+30)+60
therefore..…
300 = x + x+30+x+30+60
300=3x +60+60
300=3x+120
300-120=3x
3x=180
x=180/3
x=60
therefore.…
amt p gets =₹ 60
amt q gets =x+30
=60+30
= ₹90
amt r gets = x+30+60
= 60+30+60
= ₹150
therefore..…
ratio p/q= 60/90=2/3
ratio q/r= 90/150=3/5
ratio p/r=60/150=2/5
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