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In a village, 64% of the total population are literates. The respective ratio of literate male and female is 3 : 1 and the respective ratio…

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In a village, 64% of the total population are literates. The respective ratio of literate male and female is 3 : 1 and the respective ratio of illiterate male and female is 5 : 4. What is the respective ratio of literate male and illiterate male in the village ?
  • A12 : 5
  • B9 : 4
  • C8 : 5
  • D11 : 5
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CCommunity
Solution
Let total population of village = 100
=> Number of literate people = $\frac{64}{100} \times 100 = 64$
=> No. of literate male = $\frac{3}{3 + 1} \times 64$
= $3 \times 16 = 48$
=> Number of illiterate people = 100 - 64 = 36
=> No. of illiterate males = $\frac{5}{5 + 4} \times 36$
= $5 \times 4 = 20$
$\therefore$ Required ratio = $\frac{48}{20}$
= 12 : 5
0
CCommunity
Solution
Let total population of village = 100
=> Number of literate people = $\frac{64}{100} \times 100 = 64$
=> No. of literate male = $\frac{3}{3 + 1} \times 64$
= $3 \times 16 = 48$
=> Number of illiterate people = 100 - 64 = 36
=> No. of illiterate males = $\frac{5}{5 + 4} \times 36$
= $5 \times 4 = 20$
$\therefore$ Required ratio = $\frac{48}{20}$
= 12 : 5