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A millionaire bought a job lot of hats 1/4 of which were brown. The millionaire sold 2/3 of the hats including 4/5 of the brown hats. What fraction of the unsold hats were brown.
(A) 1/60 (B) 1/15 (C) 3/20 (D) 3/5 (E) 3/4
Read Solution (Total 3)
-
- 3/20
If initially he had x hats.
x/4 were brown.
sold x*2/3 hats. left with x/3 hats.
sold (x/4)*((4/5) = x/5 brown hats and left with x/4-x/5= x/20 brown hats.
Fraction of brown hats in total remaining hats = (x/20)/(x/3) = 3/20 hats - 13 years agoHelpfull: Yes(50) No(3)
- at first brown hats was 1/4th
brown hats sold=1/4*4/5=1/5th
so unsold brown hats=1/4-1/5=1/20th
now sold hats= 2/3th
so unsold hats=1-2/3=1/3rd
so the fraction of the unsold hatr were brown is= (1/20*1/3)=1/60th
- 13 years agoHelpfull: Yes(3) No(15)
- answer: c)3/20
- 10 years agoHelpfull: Yes(1) No(1)
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