In a city, 80% of the population are literate and ratio of literate ma

1.	In a city, 80% of the population are literate and ratio of literate male to literate female is 5 ∶ 2 and illiterate male are equal to illiterate female. If number of literate female is 2,000. Find difference of literate male and illiterate male.1. 42752. 41253. 42504. 1750
Answer» Correct Answer - Option 2 : 4125 Given: Literate population = 80% and illiterate population = 20% Ratio of literate male to female = 5 ∶ 2 Illiterate male = illiterate female Literate female = 2000 Concept used: If X is distributed between A and B in the ratio of a ∶ b, then A = a / (a + b) × X and B = b / (a + b) × X To convert any ratio to exact value, we should have to multiply any constant value Calculation: Ratio of literate male to female = 5 ∶ 2 Let, literate male = 5X and female = 2X ∵ 2X = 2000 ∴ X = 1000 ∴ 5X = 5000 ∴ Total literate population = 7X = 7 × 1000 = 7000 Now, Let total population of city = Y ∴ 80% of Y = 7000 ∴ Y = (7000 × 100) × 1 / 80 = 8750 Total population of city = 8750 Total illiterate population = 20% of 8750 = 1750 ∵ Illiterate male = illiterate female ∴ Illiterate female = 1750 / 2 = 875 Therefore, difference = 5000 – 875 = 4125

In a city, 80% of the population are literate and ratio of literate male to literate female is 5 ∶ 2 and illiterate male are equal to illiterate female. If number of literate female is 2,000. Find difference of literate male and illiterate male.1. 42752. 41253. 42504. 1750

Answer» Correct Answer - Option 2 : 4125

Given:

Literate population = 80% and illiterate population = 20%

Ratio of literate male to female = 5 ∶ 2

Illiterate male = illiterate female

Literate female = 2000

Concept used:

If X is distributed between A and B in the ratio of a ∶ b, then A = a / (a + b) × X and B = b / (a + b) × X

To convert any ratio to exact value, we should have to multiply any constant value

Calculation:

Ratio of literate male to female = 5 ∶ 2

Let, literate male = 5X and female = 2X

∵ 2X = 2000

∴ X = 1000

∴ 5X = 5000

∴ Total literate population = 7X = 7 × 1000 = 7000

Now, Let total population of city = Y

∴ 80% of Y = 7000

∴ Y = (7000 × 100) × 1 / 80 = 8750

Total population of city = 8750

Total illiterate population = 20% of 8750 = 1750

∵ Illiterate male = illiterate female

∴ Illiterate female = 1750 / 2 = 875

Therefore, difference = 5000 – 875 = 4125