Question 58

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 ?

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

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