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Maths Puzzle
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Population of a village is eight thousand. If 6% men and 10% women are added, population becomes 8,600, then the number of men in the village was:
Read Solution (Total 6)
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- x=no of men at beginning,
y=no of women at beginning,
.06x+0.1y=600;(its 8600-8000)
x+y=8000;
solve these eqn ,
we can get x=5000;y=3000;
in the beginning there were 5000 men. - 10 years agoHelpfull: Yes(25) No(5)
- take x male then 8000-x=female
so x*106/100 + (8000-x)*110/100 =8600
by solving we get x=5000(men)
- 10 years agoHelpfull: Yes(10) No(5)
- using mixtures : there is increase in 6% men and 10% women
i.e 3 : 5
therefore number of 6% mens will be: (3/8)*8000=3000
6%----> 3000
100%----> ?
therefore by cross multiplying ans is 5000. - 7 years agoHelpfull: Yes(8) No(3)
- using mixture and alligation
8000×106/100=8480
8000×110/100=8800
male 8400 female 8800
8600
200:120
5:3
Number of males in the village
=5/8×8000=5000 - 7 years agoHelpfull: Yes(3) No(2)
- 5000 men +3000 women
- 10 years agoHelpfull: Yes(2) No(6)
- 5*1000=5000
- 6 years agoHelpfull: Yes(1) No(2)
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